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%%% -*-BibTeX-*-
%%% ====================================================================
%%%  BibTeX-file{
%%%     author          = "Lloyd Nicholas Trefethen",
%%%     version         = "2.77",
%%%     date            = "05 February 2019",
%%%     time            = "14:14:09 MST",
%%%     filename        = "trefethen-lloyd-n.bib",
%%%     address         = "Oxford University Computing Laboratory,
%%%                        Wolfson Building, Parks Road,
%%%                        Oxford OX1 3QD,
%%%                        UK",
%%%     telephone       = "+44 (0)1865 273886",
%%%     FAX             = "+44 (0)1865 273839",
%%%     URL             = "http://www.comlab.ox.ac.uk/oucl/people/nick.trefethen.html",
%%%     checksum        = "49790 6689 26873 284579",
%%%     email           = "nick.trefethen at comlab.ox.ac.uk (Internet)",
%%%     codetable       = "ISO/ASCII",
%%%     keywords        = "numerical analysis",
%%%     license         = "public domain",
%%%     supported       = "yes",
%%%     docstring       = "This is a bibliography of publications of
%%%                        Lloyd Nicholas Trefethen.  The companion
%%%                        LaTeX file trefethen-lloyd-nicholas.ltx can
%%%                        be used to typeset this bibliography.
%%%
%%%                        At version 2.77, the year coverage looked
%%%                        like this:
%%%
%%%                             1977 (   1)    1991 (   2)    2005 (   4)
%%%                             1978 (   0)    1992 (  10)    2006 (   7)
%%%                             1979 (   1)    1993 (   6)    2007 (   6)
%%%                             1980 (   4)    1994 (   5)    2008 (   4)
%%%                             1981 (   5)    1995 (   1)    2009 (   1)
%%%                             1982 (   4)    1996 (   6)    2010 (   4)
%%%                             1983 (  13)    1997 (   6)    2011 (   9)
%%%                             1984 (  16)    1998 (   8)    2012 (   2)
%%%                             1985 (   9)    1999 (  14)    2013 (   6)
%%%                             1986 (  11)    2000 (   7)    2014 (   3)
%%%                             1987 (   5)    2001 (  11)    2015 (   6)
%%%                             1988 (   6)    2002 (  22)    2016 (   5)
%%%                             1989 (   2)    2003 (   4)    2017 (   5)
%%%                             1990 (   8)    2004 (   4)    2018 (   2)
%%%                             19xx (   1)
%%%
%%%                             Article:        170
%%%                             Book:            14
%%%                             InCollection:     7
%%%                             InProceedings:   19
%%%                             MastersThesis:    1
%%%                             Misc:             8
%%%                             PhdThesis:        1
%%%                             Proceedings:     20
%%%                             TechReport:      15
%%%                             Unpublished:      1
%%%
%%%                             Total entries:  256
%%%
%%%                        This file is available as part of the BibNet
%%%                        Project.  The master copy is available for
%%%                        public access on ftp.math.utah.edu in the
%%%                        directory tree /pub/bibnet/authors.  It is
%%%                        mirrored to netlib.bell-labs.com in the directory
%%%                        tree /netlib/bibnet/authors, from which it is
%%%                        available via anonymous ftp and the Netlib
%%%                        service.
%%%
%%%                        The checksum field above contains a CRC-16
%%%                        checksum as the first value, followed by the
%%%                        equivalent of the standard UNIX wc (word
%%%                        count) utility output of lines, words, and
%%%                        characters.  This is produced by Robert
%%%                        Solovay's checksum utility.",
%%%  }
%%% ====================================================================
@Preamble{"\ifx \undefined \booktitle \def \booktitle#1{{{\em #1}}} \fi"}

%%% ====================================================================
%%% Acknowledgement abbreviations:
@String{ack-nhfb =  "Nelson H. F. Beebe,
                    Department of Mathematics,
                    University of Utah,
                    Salt Lake City, UT 84112, USA,
                    Tel: +1 801 581 5254,
                    FAX: +1 801 581 4148,
                    e-mail: \path|beebe@math.utah.edu|"}

%%% ====================================================================
%%% Institute abbreviations:
@String{inst-CS-CORNELL         = "Dept. of Comp. Sci., Cornell
                                  University"}
@String{inst-CS-CORNELL:adr     = "Ithaca, NY, USA"}

@String{inst-MATH-MIT           = "Dept. of Mathematics, MIT"}
@String{inst-MATH-MIT:adr       = "Cambridge, MA, USA"}

%%% ====================================================================
%%% Journal abbreviations:
@String{j-ACTA-NUMERICA         = "Acta Numerica"}

@String{j-AMER-MATH-MONTHLY     = "Amer. Math. Monthly"}

@String{j-APPL-MECH-REV         = "Applied Mechanics Reviews"}

@String{j-BIT                   = "BIT"}

@String{j-BIT-NUM-MATH          = "BIT Numerical Mathematics"}

@String{j-BULL-AMS              = "Bull. Amer. Math. Soc."}

@String{j-BULL-AMS-N-S          = "Bulletin of the American Mathematical Society
                                  (new series)"}

@String{j-CACM                  = "Communications of the ACM"}

@String{j-COMM-PURE-APPL-MATH   = "Comm. Pure Appl. Math."}

@String{j-COMPUT-METH-APPL-MECH-ENG = "Comput. Meth. Appl. Mech. Engin."}

@String{j-COMPUT-METH-FUNCT-THEORY = "Computational Methods and Function Theory"}

@String{j-CONST-APPROX          = "Constructive Approximation"}

@String{j-DOC-MATH              = "Documenta Mathematica"}

@String{j-ELECTRON-TRANS-NUMER-ANAL = "Electronic Transactions on Numerical
                                  Analysis"}

@String{j-FLUID-MECH            = "J. Fluid Mech."}

@String{j-GEOPHYSICS            = "Geophysics"}

@String{j-IEEE-TRANS-ACOUST-SPEECH    = "IEEE Trans. Acoust., Speech, and
                                  Signal Process."}

@String{j-IMA-J-NUMER-ANAL      = "IMA J. Numer. Anal."}

@String{j-J-ACOUST-SOC-AM       = "Journal of the Acoustical Society of America"}

@String{j-J-APPROX-THEORY       = "Journal of Approximation Theory"}

@String{j-J-COMPUT-APPL-MATH    = "Journal of Computational and Applied
                                  Mathematics"}

@String{j-J-COMPUT-PHYS         = "Journal of Computational Physics"}

@String{j-LECT-NOTES-MATH       = "Lecture Notes in Mathematics"}

@String{j-LINEAR-ALGEBRA-APPL   = "Linear Algebra and its Applications"}

@String{j-MATH-COMPUT           = "Mathematics of Computation"}

@String{j-MATH-COMPUT-SCI       = "Mathematics in Computer Science"}

@String{j-MATH-TODAY            = "Mathematics Today"}

@String{j-NAMS                  = "Notices of the American Mathematical
                                  Society"}

@String{j-NUM-MATH              = "Num. Math"}

@String{j-PHYS-FLUIDS           = "Physics of Fluids"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI = "Proceedings of the Royal
                                  Society A: Mathematical, Physical, \&
                                  Engineering Sciences"}

@String{j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI = "Proceedings of the Royal
                                  Society of London. Series A,
                                  Mathematical and physical sciences"}

@String{j-SCIENCE               = "Science"}

@String{j-SCI-CHINA-MATH        = "Science China. Mathematics"}

@String{j-SIAM-J-APPL-MATH      = "SIAM Journal on Applied Mathematics"}

@String{j-SIAM-J-MAT-ANA-APPL   = "SIAM Journal on Matrix Analysis and
                                  Applications"}

@String{j-SIAM-J-MATH-ANA       = "SIAM Journal on Mathematical Analysis"}

@String{j-SIAM-J-NUMER-ANAL     = "SIAM Journal on Numerical Analysis"}

@String{j-SIAM-J-SCI-COMP       = "SIAM Journal on Scientific Computing"}

@String{j-SIAM-J-SCI-STAT-COMP  = "SIAM Journal on Scientific and Statistical
                                  Computing"}

@String{j-SIAM-NEWS             = "SIAM News"}

@String{j-SIAM-REVIEW           = "SIAM Review"}

@String{j-SIGNUM                = "SIGNUM Newsletter"}

@String{j-TOMS                  = "ACM Transactions on Mathematical Software"}

@String{j-TRANS-AM-MATH-SOC     = "Transactions of the American Mathematical
                                  Society"}

@String{j-Z-ANGE-MATH-PHYS      = "{Zeitschrift f{\"u}r Angewandte Mathematik
                                  und Physik = Journal of Applied
                                  Mathematics and Physics}"}

%%% ====================================================================
%%% Publisher abbreviations:
@String{pub-AMS                 = "Amer. Math. Soc."}
@String{pub-AMS:adr             = "Providence, RI, USA"}

@String{pub-AP                  = "Academic Press"}
@String{pub-AP:adr              = "New York, NY, USA"}

@String{pub-BIRKHAUSER          = "Birkh{\"{a}}user"}
@String{pub-BIRKHAUSER:adr      = "Cambridge, MA, USA; Berlin, Germany; Basel,
                                  Switzerland"}

@String{pub-CAMBRIDGE           = "Cambridge University Press"}
@String{pub-CAMBRIDGE:adr       = "Cambridge, UK"}

@String{pub-CHAPMAN-HALL        = "Chapman and Hall"}
@String{pub-CHAPMAN-HALL:adr    = "London, England"}

@String{pub-CLARENDON           = "Clarendon Press"}
@String{pub-CLARENDON:adr       = "Oxford, UK"}

@String{pub-ELS                 = "Elsevier Science Publishers"}
@String{pub-ELS:adr             = "Amsterdam, The Netherlands"}

@String{pub-IMACS               = "IMACS"}
@String{pub-IMACS:adr           = "Department of Computer Science, Rutgers
                                    University, New Brunswick, NJ, USA"}

@String{pub-LONGMAN             = "Longman Scientific and Technical"}
@String{pub-LONGMAN:adr         = "Harlow, Essex"}

@String{pub-NH                  = "North-Holland Publishing Co."}
@String{pub-NH:adr              = "Amsterdam, The Netherlands"}

@String{pub-PH                  = "Prentice-{Hall}"}
@String{pub-PH:adr              = "Englewood Cliffs, NJ 07632, USA"}

@String{pub-PRINCETON           = "Princeton University Press"}
@String{pub-PRINCETON:adr       = "Princeton, NJ, USA"}

@String{pub-REIDEL              = "D. Reidel"}
@String{pub-REIDEL:adr          = "Dordrecht, Boston, Lancaster, Tokyo"}

@String{pub-SIAM                = "Society for Industrial and Applied
                                  Mathematics"}
@String{pub-SIAM:adr            = "Philadelphia, PA, USA"}

@String{pub-SV                  = "Springer-Verlag"}
@String{pub-SV:adr              = "Berlin, Germany~/ Heidelberg,
                                  Germany~/ London, UK~/ etc."}

@String{pub-US-ARO              = "U.S. Army Research Office"}
@String{pub-US-ARO:adr          = "Research Triangle Park, NC, USA"}

@String{pub-WORLD-SCI           = "World Scientific Publishing
                                  Co. Pte. Ltd."}
@String{pub-WORLD-SCI:adr       = "P. O. Box 128, Farrer Road,
                                  Singapore 9128"}

%%% ====================================================================
%%% Series abbreviations:
@String{ser-LNM                 = "Lecture Notes in Mathematics"}

%%% ====================================================================
%%%        Part 1 (of 2): Publications by Lloyd N. Trefethen
%%%
%%% Bibliography entries, sorted by year and then by citation label:
@MastersThesis{Trefethen:1977:CAP,
  author =       "Lloyd N. Trefethen",
  title =        "{Chebyshev} Approximation by Polynomials in the
                 Complex Plane",
  type =         "{Undergraduate} thesis",
  school =       "Harvard University",
  address =      "Cambridge, MA, USA",
  month =        may,
  year =         "1977",
  bibdate =      "Tue Jan 03 15:36:24 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Bolstad:1979:NAP,
  author =       "J. H. Bolstad and T. F. Chan and W. M. {Coughran, Jr.}
                 and W. D. Gropp and E. H. Grosse and M. T. Heath and R.
                 J. LeVeque and F. T. Luk and S. G. Nash and L. N.
                 Trefethen",
  title =        "Numerical Analysis Program Library User's Guide
                 {(NAPLUG)}",
  type =         "User Note",
  number =       "82",
  institution =  "SLAC Computing Services",
  address =      "Stanford, CA, USA",
  year =         "1979",
  bibdate =      "Wed Aug 24 16:01:44 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/c/coughran-william-m.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "First issued in 1976 by Chan, Coughran, Heath, and
                 Luk",
  acknowledgement = ack-nhfb,
}

@InProceedings{Trefethen:1980:CAS,
  author =       "Lloyd N. Trefethen",
  title =        "Computation and application of {Schwarz--Christoffel}
                 transformations",
  crossref =     "Anonymous:1980:PAN",
  volume =       "3",
  pages =        "165--171",
  year =         "1980",
  MRclass =      "30C30 (65E05)",
  MRnumber =     "MR601632 (82d:30012)",
  MRreviewer =   "D. Gaier",
  bibdate =      "Sat Dec 9 12:43:58 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0485.30007",
  acknowledgement = ack-nhfb,
  classmath =    "*30C30 Numerical methods in conformal mapping theory
                 65E05 Numerical methods in complex analysis",
  keywords =     "applications to fluids and electrical problems;
                 computation and application of Schwarz--Christoffel
                 transformations; numerical conformal mapping",
}

@Article{Trefethen:1980:ENC,
  author =       "Lloyd N. Trefethen",
  title =        "Erratum: {``Numerical computation of the
                 Schwarz--Christoffel transformation''}",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "1",
  number =       "2",
  pages =        "302",
  year =         "1980",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "30C30 (65E05)",
  MRnumber =     "MR594762 (81g:30012b)",
  MRreviewer =   "N. Papamichael",
  bibdate =      "Sat Dec 9 12:44:53 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See \cite{Trefethen:1980:NCS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
}

@Article{Trefethen:1980:NCS,
  author =       "Lloyd N. Trefethen",
  title =        "Numerical computation of the {Schwarz--Christoffel}
                 transformation",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "1",
  number =       "1",
  pages =        "82--102",
  year =         "1980",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "30C30 (65E05)",
  MRnumber =     "MR572542 (81g:30012a)",
  MRreviewer =   "N. Papamichael",
  bibdate =      "Sat Dec 9 12:46:25 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See erratum \cite{Trefethen:1980:ENC}.",
  ZMnumber =     "0451.30004",
  acknowledgement = ack-nhfb,
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "conformal mapping of polygons; Schwarz--Christoffel
                 transformation",
}

@InProceedings{Trefethen:1981:CAS,
  author =       "Lloyd N. Trefethen",
  title =        "Computer application of the {Schwarz--Christoffel}
                 transformation",
  crossref =     "Butzer:1981:BCI",
  pages =        "263--274",
  year =         "1981",
  MRclass =      "65E05 (30C30 65F15 65H10 65L05)",
  MRnumber =     "MR661071 (83f:65036)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0476.30007",
  classmath =    "*30C30 Numerical methods in conformal mapping theory",
  keywords =     "numerical conformal mapping; Schwarz--Christoffel
                 transformation",
}

@Article{Trefethen:1981:NCC,
  author =       "Lloyd N. Trefethen",
  title =        "Near-circularity of the curve in complex {Chebyshev}
                 approximation",
  journal =      j-J-APPROX-THEORY,
  volume =       "31",
  number =       "4",
  pages =        "344--367",
  year =         "1981",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A10 (30E10 65E05)",
  MRnumber =     "MR628517 (83e:41011)",
  MRreviewer =   "Hans-Peter Blatt",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  xxtitle =      "Near-circularity of the error curve in complex
                 {Chebyshev} approximation",
}

@Article{Trefethen:1981:NCE,
  author =       "Lloyd N. Trefethen",
  title =        "Near-circularity of the error curve in complex
                 {Chebyshev} approximation",
  journal =      j-J-APPROX-THEORY,
  volume =       "31",
  number =       "4",
  pages =        "344--367",
  year =         "1981",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Sat Dec 9 12:47:02 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0462.41004",
  acknowledgement = ack-nhfb,
  classmath =    "*41A10 Approximation by polynomials 30E10
                 Approximation in the complex domain 41A50 Best
                 approximation 41A20 Approximation by rational
                 functions",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
  keywords =     "error curve; near-circularity phenomenon",
}

@Article{Trefethen:1981:RCA,
  author =       "Lloyd N. Trefethen",
  title =        "Rational {Chebyshev} approximation on the unit disk",
  journal =      j-NUM-MATH,
  volume =       "37",
  number =       "2",
  pages =        "297--320",
  year =         "1981",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "30E10 (41A50 65D15)",
  MRnumber =     "MR623046 (83c:30038)",
  MRreviewer =   "Volker Klotz",
  bibdate =      "Sat Dec 9 12:47:16 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0443.30046",
  acknowledgement = ack-nhfb,
  classmath =    "*30E10 Approximation in the complex domain 30D50
                 Blaschke products, etc. 41A50 Best approximation",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "rational Chebyshev approximation on unit disk",
}

@Article{Gutknecht:1982:RPC,
  author =       "Martin H. Gutknecht and Lloyd N. Trefethen",
  title =        "Real polynomial {Chebyshev} approximation by the
                 {Carath`eodory--Fej{\'e}r} method",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "19",
  number =       "2",
  pages =        "358--371",
  month =        apr,
  year =         "1982",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "41A10 (41A50)",
  MRnumber =     "MR650056 (83d:41006)",
  MRreviewer =   "Jean Tzimbalario",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  ZMnumber =     "0491.41026",
  acknowledgement = ack-nhfb,
  classmath =    "*41A50 Best approximation 41A10 Approximation by
                 polynomials",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "Caratheodory-Fejer theorem; complex Chebyshev
                 approximation; Hankel matrix of Taylor coefficients",
}

@Article{Trefethen:1982:GVF,
  author =       "Lloyd N. Trefethen",
  title =        "Group Velocity in Finite Difference Schemes",
  journal =      j-SIAM-REVIEW,
  volume =       "24",
  number =       "2",
  pages =        "113--136",
  month =        apr,
  year =         "1982",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1024038",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65P05 (76-08)",
  MRnumber =     "MR652463 (83b:65141)",
  bibdate =      "Sat Mar 29 09:53:27 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/24/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  ZMnumber =     "0487.65055",
  acknowledgement = ack-nhfb,
  classmath =    "*65N12 Stability and convergence of numerical methods
                 (BVP of PDE) 35L05 Wave equation 35L20 Second order
                 hyperbolic equations, boundary value problems 35L50
                 First order hyperbolic systems, boundary value problems
                 35L65 Conservation laws 65N06 Finite difference methods
                 (BVP of PDE) 76B15 Wave motions (fluid mechanics)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "computational examples; group velocity; Lax- Wendroff;
                 motion of parasitic waves; nondissipative, linear
                 waves; numerically-induced anisotropy of waves; phase
                 velocity; propagation of pulses; stability theory",
  onlinedate =   "April 1982",
}

@PhdThesis{Trefethen:1982:WPS,
  author =       "Lloyd Nicholas Trefethen",
  title =        "Wave Propagation and Stability for Finite Difference
                 Schemes",
  type =         "{Ph.D.} thesis",
  school =       "Stanford University",
  address =      "Stanford, CA, USA",
  pages =        "208",
  year =         "1982",
  bibdate =      "Tue Jan 03 11:48:14 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Gutknecht:1983:CFM,
  author =       "Martin H. Gutknecht and Julius O. Smith and Lloyd N.
                 Trefethen",
  title =        "The {Carath{\'e}odory--Fej{\'e}r} method for recursive
                 digital filter design",
  journal =      j-IEEE-TRANS-ACOUST-SPEECH,
  volume =       "31",
  number =       "6",
  pages =        "1417--1426",
  month =        "????",
  year =         "1983",
  CODEN =        "IETABA",
  DOI =          "https://doi.org/10.1109/TASSP.1983.1164242",
  ISSN =         "0096-3518",
  bibdate =      "Tue Mar 5 11:28:54 MST 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1164242",
  acknowledgement = ack-nhfb,
  fjournal =     "IEEE Transactions on Acoustics, Speech, and Signal
                 Processing",
  journal-URL =  "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=29",
}

@Article{Gutknecht:1983:NBR,
  author =       "Martin H. Gutknecht and Lloyd N. Trefethen",
  title =        "Nonuniqueness of best rational {Chebyshev}
                 approximations on the unit disk",
  journal =      j-J-APPROX-THEORY,
  volume =       "39",
  number =       "3",
  pages =        "275--288",
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "30E10 (41A20)",
  MRnumber =     "MR720942 (85d:30056)",
  MRreviewer =   "Hans-Peter Blatt",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Gutknecht:1983:RCC,
  author =       "Martin H. Gutknecht and Lloyd N. Trefethen",
  title =        "Real and complex {Chebyshev} approximation on the unit
                 disk and interval",
  journal =      j-BULL-AMS-N-S,
  volume =       "8",
  number =       "3",
  pages =        "455--458",
  year =         "1983",
  CODEN =        "BAMOAD",
  ISSN =         "0273-0979 (print), 1088-9485 (electronic)",
  ISSN-L =       "0273-0979",
  MRclass =      "30E10 (41A20)",
  MRnumber =     "MR693961 (84d:30068)",
  MRreviewer =   "Jean Tzimbalario",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://projecteuclid.org/euclid.bams/1183550890",
  fjournal =     "American Mathematical Society. Bulletin. New Series",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@InProceedings{Trefethen:1983:CAU,
  author =       "Lloyd N. Trefethen",
  title =        "{Chebyshev} approximation on the unit disk",
  crossref =     "Werner:1983:CAC",
  pages =        "309--323",
  year =         "1983",
  MRclass =      "65D15 (30E10)",
  MRnumber =     "MR712902 (84k:65017)",
  bibdate =      "Sat Dec 09 12:15:45 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:1983:CEC,
  author =       "Lloyd N. Trefethen",
  title =        "Circularity of the error curve and sharpness of the
                 {CF} method in complex {Chebyshev} approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "6",
  pages =        "1258--1263",
  month =        dec,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "41A20 (30E10 65D15)",
  MRnumber =     "MR723844 (85f:41011)",
  MRreviewer =   "D. S. Lubinsky",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  ZMnumber =     "0551.41042",
  acknowledgement = ack-nhfb,
  classmath =    "*41A50 Best approximation 30E10 Approximation in the
                 complex domain",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "Carath{\'e}odory--Fej{\'e}r method; near-circularity;
                 rational Chebyshev approximation problem",
  reviewer =     "D. N. Zarnadze",
}

@Article{Trefethen:1983:CFM,
  author =       "Lloyd N. Trefethen and Martin H. Gutknecht",
  title =        "The {Carath{\'e}odory--Fej{\'e}r} method for real
                 rational approximation",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "20",
  number =       "2",
  pages =        "420--436",
  month =        apr,
  year =         "1983",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "41A20 (41A50)",
  MRnumber =     "MR694530 (85g:41024)",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Trefethen:1983:GVI,
  author =       "Lloyd N. Trefethen",
  title =        "Group velocity interpretation of the stability theory
                 of {Gustafsson}, {Kreiss}, and {Sundstr{\"o}m}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "49",
  number =       "2",
  pages =        "199--217",
  month =        feb,
  year =         "1983",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/0021-9991(83)90123-7",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "65M10 (76-08)",
  MRnumber =     "MR699214 (84e:65096)",
  bibdate =      "Sun Jan 1 15:59:14 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0021999183901237",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Article{Trefethen:1983:NBR,
  author =       "Lloyd N. Trefethen and M. H. Gutknecht",
  title =        "Nonuniqueness of best rational {Chebyshev}
                 approximations on the unit disk",
  journal =      j-J-APPROX-THEORY,
  volume =       "39",
  number =       "3",
  pages =        "275--288",
  year =         "1983",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  bibdate =      "Sat Dec 9 12:50:20 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Trefethen:1983:RCCa,
  author =       "Lloyd N. Trefethen and M. H. Gutknecht",
  title =        "Real and complex {Chebyshev} approximation on the unit
                 disk and interval",
  journal =      j-BULL-AMS,
  volume =       "8",
  number =       "3",
  pages =        "455--458",
  year =         "1983",
  CODEN =        "BAMOAD",
  ISSN =         "0002-9904 (print), 1936-881X (electronic)",
  ISSN-L =       "0002-9904",
  bibdate =      "Sat Dec 9 12:50:32 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Bulletin of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/bull/all_issues.html",
}

@InProceedings{Trefethen:1983:RCCb,
  author =       "Lloyd N. Trefethen and Martin H. Gutknecht",
  title =        "Real and complex {Chebyshev} approximation on the unit
                 disk and interval",
  crossref =     "Chui:1983:ATI",
  pages =        "712--722",
  year =         "1983",
  MRclass =      "41A50 (30E10)",
  MRnumber =     "MR754419",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0557.41020",
  classmath =    "41A50 Best approximation; 30E10 Approximation in the
                 complex domain",
}

@Article{Trefethen:1983:RVC,
  author =       "Lloyd N. Trefethen and Martin H. Gutknecht",
  title =        "Real vs. complex rational {Chebyshev} approximation on
                 an interval",
  journal =      j-TRANS-AM-MATH-SOC,
  volume =       "280",
  number =       "2",
  pages =        "555--561",
  year =         "1983",
  CODEN =        "TAMTAM",
  ISSN =         "0002-9947 (print), 1088-6850 (electronic)",
  ISSN-L =       "0002-9947",
  MRclass =      "41A25 (41A50)",
  MRnumber =     "MR716837 (85h:41045)",
  bibdate =      "Sat Dec 9 12:50:47 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Transactions of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/journals/tran/",
}

@Article{Duffy:1984:PSA,
  author =       "L. Richard Duffy and L. E. Mattics and Randall J.
                 LeVeque and Lloyd N. Trefethen",
  title =        "Problems and Solutions: Advanced Problems:
                 6460--6462",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "91",
  number =       "6",
  pages =        "371--371",
  month =        jun # "\slash " # jul,
  year =         "1984",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:37:35 MDT 1999",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  note =         "See also
                 \cite{Duffy:1985:PSS,LeVeque:1985:PSS,Mattics:1985:APS}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@InProceedings{Gutknecht:1984:RVC,
  author =       "Martin H. Gutknecht and Lloyd N. Trefethen",
  title =        "Real vs. complex rational {Chebyshev} approximation on
                 complex domains",
  crossref =     "Collatz:1984:WNM",
  pages =        "87--97",
  year =         "1984",
  MRclass =      "41A50",
  MRnumber =     "MR757011 (85h:41067)",
  MRreviewer =   "Jean Tzimbalario",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{LeVeque:1984:RCK,
  author =       "Randall J. LeVeque and Lloyd N. Trefethen",
  title =        "On the resolvent condition in the {Kreiss Matrix
                 Theorem}",
  journal =      j-BIT,
  volume =       "24",
  number =       "4",
  pages =        "584--591",
  year =         "1984",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "39A11 (15A45 30A10 65F30)",
  MRnumber =     "MR764830 (86c:39004)",
  MRreviewer =   "Thomas H. Foregger",
  bibdate =      "Fri Nov 13 11:51:59 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0559.15018",
  acknowledgement = ack-nhfb,
  classmath =    "*15A60 Appl. of functional analysis to matrix theory
                 65F35 Matrix norms, etc. (numerical linear algebra)
                 15A45 Miscellaneous inequalities involving matrices",
  fjournal =     "BIT. Nordisk Tidskrift for Informationsbehandling
                 (BIT)",
  journal-URL =  "http://link.springer.com/journal/10543",
  keywords =     "Kreiss matrix theorem; matrix exponentials; matrix
                 norm; power boundedness; resolvent condition; resolvent
                 estimate",
  ZMreviewer =   "F. J. Gaines",
}

@Article{Trefethen:1984:AAR,
  author =       "Lloyd N. Trefethen",
  title =        "The asymptotic accuracy of rational best
                 approximations to {$ e^z $} on a disk",
  journal =      j-J-APPROX-THEORY,
  volume =       "40",
  number =       "4",
  pages =        "380--383",
  year =         "1984",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A20 (30E10 41A21)",
  MRnumber =     "MR740651 (85j:41031)",
  MRreviewer =   "A. J. Rodrigues",
  bibdate =      "Sat Dec 9 12:51:07 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Trefethen:1984:ADP,
  author =       "Lloyd N. Trefethen and Z. Angew",
  title =        "Analysis and design of polygonal resistors by
                 conformal mapping",
  journal =      j-Z-ANGE-MATH-PHYS,
  volume =       "35",
  number =       "5",
  pages =        "692--704",
  year =         "1984",
  CODEN =        "AZMPA8",
  ISSN =         "0044-2275 (print), 1420-9039 (electronic)",
  ISSN-L =       "0044-2275",
  MRclass =      "78A55",
  MRnumber =     "MR767435 (86b:78025)",
  bibdate =      "Sat Dec 9 12:51:42 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Zeitschrift f{\"u}r Angewandte Mathematik und Physik.
                 ZAMP. Journal of Applied Mathematics and Physics.
                 Journal de Math\'ematiques et de Physique
                 Appliqu\'ees",
  journal-URL =  "http://link.springer.com/journal/33",
}

@Article{Trefethen:1984:BRB,
  author =       "Lloyd N. Trefethen",
  title =        "Book Review: {{\booktitle{Fourier Analysis of
                 Numerical Approximations of Hyperbolic Equations}} (R.
                 Vichnevetsky and J. B. Bowles)}",
  journal =      j-SIAM-REVIEW,
  volume =       "26",
  number =       "3",
  pages =        "439--441",
  month =        "????",
  year =         "1984",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/1026089",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:53:48 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/26/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "July 1984",
}

@InProceedings{Trefethen:1984:IDD,
  author =       "Lloyd N. Trefethen",
  title =        "On $ \ell^p $-instability and dispersion at
                 discontinuities in finite difference schemes",
  crossref =     "Vichnevetsky:1984:ACM",
  pages =        "??--??",
  year =         "1984",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Trefethen:1984:IDM,
  author =       "Lloyd N. Trefethen",
  title =        "Instability of difference models for hyperbolic
                 initial-boundary value problems",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "37",
  number =       "3",
  pages =        "329--367",
  year =         "1984",
  CODEN =        "CPAMAT",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "65M10",
  MRnumber =     "MR739924 (86f:65162)",
  MRreviewer =   "Bonita Bowman",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
}

@Article{Trefethen:1984:IFD,
  author =       "Lloyd N. Trefethen",
  title =        "Instability of finite difference models for hyperbolic
                 initial boundary value problems",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "24",
  number =       "3",
  pages =        "329--367",
  year =         "1984",
  CODEN =        "CPAMAT, CPMAMV",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  bibdate =      "Sat Dec 9 12:52:08 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications on Pure and Applied Mathematics (New
                 York)",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
}

@Article{Trefethen:1984:PSA,
  author =       "Lloyd N. Trefethen and Randall J. LeVeque and L. E.
                 Mattics and L. Richard Duffy",
  title =        "Problems and Solutions: Advanced Problems:
                 6460--6462",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "91",
  number =       "6",
  pages =        "371",
  year =         "1984",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "Contributed Item",
  MRnumber =     "MR1540454",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@InProceedings{Trefethen:1984:RVC,
  author =       "Lloyd N. Trefethen and M. H. Gutknecht",
  title =        "Real vs. complex rational {Chebyshev} approximation on
                 complex domains",
  crossref =     "Collatz:1982:WNM",
  pages =        "87--97",
  year =         "1984",
  bibdate =      "Sat Dec 09 12:52:56 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:1984:SBE,
  author =       "Lloyd N. Trefethen",
  title =        "Square blocks and equioscillation in the {Pad{\'e}},
                 {Walsh}, and {CF} tables",
  journal =      j-LECT-NOTES-MATH,
  volume =       "1105",
  pages =        "170--181",
  year =         "1984",
  CODEN =        "LNMAA2",
  DOI =          "https://doi.org/10.1007/BFb0072410",
  ISBN =         "3-540-13899-4 (print), 3-540-39113-4 (e-book)",
  ISBN-13 =      "978-3-540-13899-0 (print), 978-3-540-39113-5
                 (e-book)",
  ISSN =         "0075-8434 (print), 1617-9692 (electronic)",
  ISSN-L =       "0075-8434",
  MRclass =      "41A21",
  MRnumber =     "783272 (86e:41030)",
  MRreviewer =   "A. Bultheel",
  bibdate =      "Fri May 9 19:07:44 MDT 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/lnm1980.bib",
  URL =          "http://link.springer.com/chapter/10.1007/BFb0072410/",
  acknowledgement = ack-nhfb,
  book-DOI =     "https://doi.org/10.1007/BFb0072395",
  book-URL =     "http://www.springerlink.com/content/978-3-540-39113-5",
  fjournal =     "Lecture Notes in Mathematics",
  journal-URL =  "http://link.springer.com/bookseries/304",
}

@Article{Trefethen:1985:CDR,
  author =       "Lloyd N. Trefethen and Martin H. Gutknecht",
  title =        "On convergence and degeneracy in rational {Pad{\'e}}
                 and {Chebyshev} approximation",
  journal =      j-SIAM-J-MATH-ANA,
  volume =       "16",
  number =       "1",
  pages =        "198--210",
  month =        jan,
  year =         "1985",
  CODEN =        "SJMAAH",
  ISSN =         "0036-1410 (print), 1095-7154 (electronic)",
  ISSN-L =       "0036-1410",
  MRclass =      "41A21 (30E10 41A50)",
  MRnumber =     "MR772879 (86e:41031)",
  MRreviewer =   "A. Magnus",
  bibdate =      "Sat Dec 5 18:14:13 MST 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Mathematical Analysis",
  journal-URL =  "http://epubs.siam.org/sima",
}

@Article{Trefethen:1985:PSS,
  author =       "Lloyd N. Trefethen and James C. Smith and J. LeVeque",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6462",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "10",
  pages =        "740--741",
  year =         "1985",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "Contributed Item",
  MRnumber =     "MR1540768",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Article{Trefethen:1985:SFD,
  author =       "Lloyd N. Trefethen",
  title =        "Stability of finite-difference models containing two
                 boundaries or interfaces",
  journal =      j-MATH-COMPUT,
  volume =       "45",
  number =       "172",
  pages =        "279--300",
  month =        oct,
  year =         "1985",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65M10",
  MRnumber =     "MR804924 (87h:65158)",
  bibdate =      "Tue Oct 13 08:06:19 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  ajournal =     "Math. Comp.",
  classcodes =   "B0290P (Differential equations); C4170 (Differential
                 equations)",
  corpsource =   "Inst. for Comput. Applications in Sci. and Eng., NASA
                 Langley Res. Center, Hampton, VA, USA",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
  keywords =     "boundary; convergence of numerical methods; difference
                 equations; dissipativity; finite-difference models;
                 GKS; GKS-stability; hyperbolic initial-boundary value;
                 hyperbolic partial differential equations; infinite
                 numerical reflection coefficient; initial value
                 problems; instabilities; instability; internal
                 interface; P-stability; parasitic waves; partial
                 differential equations; problems; propagation;
                 reflection; trapped; wave packets",
  treatment =    "T Theoretical or Mathematical",
}

@InProceedings{Trefethen:1985:SHF,
  author =       "Lloyd N. Trefethen",
  title =        "Stability of hyperbolic finite-difference models with
                 one or two boundaries",
  crossref =     "Engquist:1985:LSC",
  pages =        "311--326",
  year =         "1985",
  MRclass =      "65M10",
  MRnumber =     "MR818794 (87b:65151)",
  bibdate =      "Sat Dec 09 12:29:05 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Trefethen:1985:TMG,
  author =       "Lloyd N. Trefethen",
  title =        "Three mysteries of {Gaussian} elimination",
  journal =      j-SIGNUM,
  volume =       "20",
  number =       "4",
  pages =        "2--5",
  month =        oct,
  year =         "1985",
  CODEN =        "SNEWD6",
  ISSN =         "0163-5778 (print), 1558-0237 (electronic)",
  ISSN-L =       "0163-5778",
  bibdate =      "Sat Aug 13 17:16:02 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "ACM SIGNUM Newsletter",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J690",
  keywords =     "algorithms",
  subject =      "G.1.5 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Roots of Nonlinear Equations, Systems of equations \\
                 G.1.3 Mathematics of Computing, NUMERICAL ANALYSIS,
                 Numerical Linear Algebra, Linear systems (direct and
                 iterative methods)",
}

@Article{Elcrat:1986:CFS,
  author =       "Alan R. Elcrat and Lloyd N. Trefethen",
  title =        "Classical free-streamline flow over a polygonal
                 obstacle",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "14",
  number =       "1--2",
  pages =        "251--265",
  month =        feb,
  year =         "1986",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(86)90142-1",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "76B10 (65E05 76-08)",
  MRnumber =     "MR829042 (87d:76021)",
  bibdate =      "Sat Feb 25 12:10:36 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786901421",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  remark =       "Special issue on numerical conformal mapping.",
}

@Article{Trefethen:1986:CMS,
  author =       "Lloyd N. Trefethen and Ruth J. Williams",
  title =        "Conformal mapping solution of {Laplace}'s equation on
                 a polygon with oblique derivative boundary conditions",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "14",
  number =       "1--2",
  pages =        "227--249",
  month =        feb,
  year =         "1986",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "30C30 (35J25 65E05)",
  MRnumber =     "MR829041 (87f:30019)",
  MRreviewer =   "D. Gaier",
  bibdate =      "Sat Feb 25 12:10:36 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/037704278690141X",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  remark =       "Special issue on numerical conformal mapping.",
}

@InProceedings{Trefethen:1986:DDS,
  author =       "Lloyd N. Trefethen",
  title =        "Dispersion, dissipation, and stability",
  crossref =     "Griffiths:1986:NA",
  pages =        "200--219",
  year =         "1986",
  MRclass =      "65N10 (65-02)",
  MRnumber =     "MR873111 (87m:65159)",
  bibdate =      "Mon Jul 11 13:19:59 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@InProceedings{Trefethen:1986:MPC,
  author =       "Lloyd N. Trefethen",
  title =        "{MATLAB} programs for {CF} approximation",
  crossref =     "Chui:1986:ATV",
  pages =        "??--??",
  year =         "1986",
  bibdate =      "Sat Dec 09 12:31:17 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Book{Trefethen:1986:NCM,
  editor =       "Lloyd N. Trefethen",
  title =        "Numerical Conformal Mapping",
  publisher =    pub-NH,
  address =      pub-NH:adr,
  pages =        "iv + 269",
  year =         "1986",
  ISBN =         "0-444-87855-6",
  ISBN-13 =      "978-0-444-87855-7",
  LCCN =         "QA1.J54",
  MRclass =      "30C30",
  MRnumber =     "MR874989 (87m:30013)",
  bibdate =      "Sat Dec 09 12:55:23 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Reprint of J. Comput.\ Appl.\ Math.\ {\bf 14} (1986),
                 no.\ 1--2.",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:1986:P,
  author =       "Lloyd N. Trefethen",
  title =        "Preface",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "14",
  number =       "1--2",
  pages =        "1--6",
  month =        feb,
  year =         "1986",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(86)90127-5",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  bibdate =      "Sat Feb 25 12:10:36 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1980.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042786901275",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Book{Trefethen:1986:SIN,
  editor =       "Lloyd N. Trefethen",
  title =        "Special issue on numerical conformal mapping",
  volume =       "14(1--2)",
  publisher =    pub-ELS,
  address =      pub-ELS:adr,
  pages =        "viii + 269",
  year =         "1986",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  MRclass =      "30C30 (30-06 65-06 65E05)",
  MRnumber =     "MR829027 (86m:30010)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       j-J-COMPUT-APPL-MATH,
}

@Article{Trefethen:1986:WPA,
  author =       "Lloyd N. Trefethen and L. Halpern",
  title =        "Well-posedness of absorbing boundary conditions and
                 one-way wave equations",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "421--435",
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  bibdate =      "Sat Dec 9 12:57:56 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Trefethen:1986:WPO,
  author =       "Lloyd N. Trefethen and Laurence Halpern",
  title =        "Well-posedness of one-way wave equations and absorbing
                 boundary conditions",
  journal =      j-MATH-COMPUT,
  volume =       "47",
  number =       "176",
  pages =        "421--435",
  year =         "1986",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (print), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65N99 (65D05 65M05)",
  MRnumber =     "MR856695 (88b:65148)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Dias:1987:IJF,
  author =       "Fr{\'e}d{\'e}ric Dias and Alan R. Elcrat and Lloyd N.
                 Trefethen",
  title =        "Ideal jet flow in two dimensions",
  journal =      j-FLUID-MECH,
  volume =       "185",
  pages =        "275--288",
  year =         "1987",
  CODEN =        "JFLSA7",
  ISSN =         "0022-1120 (print), 1469-7645 (electronic)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0633.76013",
  classmath =    "*76B10 Free-streamline theory and appl. 76T99 None of
                 the above, but in this section 76M99 Basic methods in
                 fluid mechanics",
  keywords =     "jet flow; nozzle geometries; polygonal nozzle",
  xxauthor =     "Lloyd N. Trefethen and F. Dias and A. R. Elcrat",
}

@TechReport{Trefethen:1987:ACS,
  author =       "L. N. Trefethen and R. S. Schreiber",
  title =        "Average Case Stability of {Gaussian} Elimination",
  number =       "88-3",
  institution =  "Numerical Analysis, Department of Mathematics, MIT",
  address =      "Cambridge, MA, USA",
  year =         "1987",
  bibdate =      "Tue Sep 6 16:42:43 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:1987:IPS,
  author =       "Lloyd N. Trefethen and Manfred R. Trummer",
  title =        "An Instability Phenomenon in Spectral Methods",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "24",
  number =       "5",
  pages =        "1008--1023",
  month =        oct,
  year =         "1987",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65M10 (65D25 65F15 65G05)",
  MRnumber =     "MR909061 (89a:65139)",
  MRreviewer =   "V. L. Makarov",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@InProceedings{Trefethen:1987:PSP,
  author =       "Lloyd N. Trefethen and M. H. H. Gutknecht",
  title =        "{Pad{\'e}}, stable {Pad{\'e}}, and
                 {Chebyshev--Pad{\'e}} approximation",
  crossref =     "Mason:1987:AAB",
  pages =        "227--264",
  year =         "1987",
  MRclass =      "41A21 (65D15)",
  MRnumber =     "MR911316 (89g:41011)",
  bibdate =      "Sat Dec 09 12:32:00 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Halpern:1988:WAO,
  author =       "Laurence Halpern and Lloyd N. Trefethen",
  title =        "Wide-angle one-way wave equations",
  journal =      j-J-ACOUST-SOC-AM,
  volume =       "84",
  number =       "4",
  pages =        "1397--1404",
  month =        oct,
  year =         "1988",
  CODEN =        "JASMAN",
  DOI =          "https://doi.org/10.1121/1.396586",
  ISSN =         "0001-4966",
  ISSN-L =       "0001-4966",
  MRclass =      "76Q05 (35L05 76-08)",
  MRnumber =     "MR965847 (89j:76076)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Acoustical Society of America. Journal",
  journal-URL =  "http://scitation.aip.org/content/asa/journal/jasa",
}

@Article{LeVeque:1988:FAS,
  author =       "Randall J. LeVeque and Lloyd N. Trefethen",
  title =        "{Fourier} analysis of the {SOR} iteration",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "8",
  number =       "3",
  pages =        "273--279",
  year =         "1988",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/8.3.273",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F10",
  MRnumber =     "MR968092 (89i:65036)",
  bibdate =      "Sat Dec 23 17:06:35 MST 2000",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 MathSciNet database",
  ZMnumber =     "0648.65028",
  abstract =     "The SOR iteration for solving linear systems of
                 equations depends upon an overrelaxation factor. We
                 show that, for the standard model problem of Poisson's
                 equation on a rectangle, the optimal and corresponding
                 convergence rate can be obtained rigorously by Fourier
                 analysis. The trick is to tilt the space-time grid so
                 that the SOR stencil becomes symmetrical. The tilted
                 grid also gives new insight into the relationships
                 between the Gauss--Seidel and Jacobi iterations and
                 between the lexicographic and red-black orderings, and
                 into the modified equation analysis of Garabedian.",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 65N22
                 Solution of discretized equations (BVP of PDE) 35J05
                 Laplace equation, etc",
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "Fourier analysis; optimal relaxation parameter;
                 Poisson's equation; successive overrelaxation",
  ZMreviewer =   "H.Hollatz",
}

@Article{Trefethen:1988:IPA,
  author =       "Lloyd N. Trefethen and L. H. Howell",
  title =        "Ill-posedness of absorbing boundary conditions for
                 migration",
  journal =      j-GEOPHYSICS,
  volume =       "53",
  pages =        "593--603",
  year =         "1988",
  CODEN =        "GPYSA7",
  ISSN =         "0016-8033 (print), 1942-2156 (electronic)",
  ISSN-L =       "0016-8033",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Geophysics",
  journal-URL =  "http://library.seg.org/loi/gpysa7",
}

@InProceedings{Trefethen:1988:LSV,
  author =       "Lloyd N. Trefethen",
  title =        "{Lax}-stability vs. eigenvalue stability of spectral
                 methods",
  crossref =     "Morton:1988:NMF",
  pages =        "237--253",
  year =         "1988",
  MRclass =      "65N99 (76M25)",
  MRnumber =     "MR989156 (91a:65241)",
  MRreviewer =   "J. Mikl{\'\i}{\v{c}}ek",
  bibdate =      "Sat Dec 09 13:00:11 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Inst. Math. Appl. Conf. Ser. New Ser.",
  acknowledgement = ack-nhfb,
}

@Article{Weideman:1988:ESO,
  author =       "J. A. C. Weideman and Lloyd N. Trefethen",
  title =        "The eigenvalues of second-order spectral
                 differentiation matrices",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "25",
  number =       "6",
  pages =        "1279--1298",
  month =        dec,
  year =         "1988",
  CODEN =        "SJNAAM",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65N25 (65F15)",
  MRnumber =     "MR972454 (90a:65228)",
  MRreviewer =   "Aur{\'e}l Gal{\'a}ntai",
  bibdate =      "Fri Oct 16 06:57:22 MDT 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 JSTOR database",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@TechReport{Trefethen:1989:SCM,
  author =       "Lloyd N. Trefethen",
  title =        "{Schwarz--Christoffel} mapping in the 1980's",
  type =         "Numerical Analysis Report",
  number =       "89-1",
  institution =  inst-MATH-MIT,
  address =      inst-math-mit:adr,
  year =         "1989",
  bibdate =      "Mon Jul 11 13:19:59 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@TechReport{Trefethen:1989:SUG,
  author =       "Lloyd N. Trefethen",
  title =        "{SCPACK} User's Guide",
  type =         "Numerical Analysis Report",
  number =       "89-2",
  institution =  inst-MATH-MIT,
  address =      inst-math-mit:adr,
  year =         "1989",
  bibdate =      "Mon Jul 11 13:19:59 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "(An earlier edition appeared as an ICASE internal
                 report in 1983.)",
}

@Article{Hayashi:1990:CT,
  author =       "Eric Hayashi and Lloyd N. Trefethen and Martin H.
                 Gutknecht",
  title =        "The {CF} table",
  journal =      j-CONST-APPROX,
  volume =       "6",
  number =       "2",
  pages =        "195--223",
  year =         "1990",
  ISSN =         "0176-4276 (print), 1432-0940 (electronic)",
  ISSN-L =       "0176-4276",
  MRclass =      "41A20 (30E10 41A50 47A57 65D15)",
  MRnumber =     "MR1036609 (91e:41014)",
  MRreviewer =   "Olav Nj{\aa}stad",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Constructive Approximation. An International Journal
                 for Approximations and Expansions",
  journal-URL =  "http://link.springer.com/journal/365",
}

@Article{Howell:1990:MSC,
  author =       "Louis H. Howell and Lloyd N. Trefethen",
  title =        "A modified {Schwarz--Christoffel} transformation for
                 elongated regions",
  journal =      j-SIAM-J-SCI-STAT-COMP,
  volume =       "11",
  number =       "5",
  pages =        "928--949",
  month =        sep,
  year =         "1990",
  CODEN =        "SIJCD4",
  ISSN =         "0196-5204",
  MRclass =      "30C20 (30C30 65D30)",
  MRnumber =     "MR1057148 (92j:30006)",
  MRreviewer =   "G. Opfer",
  bibdate =      "Tue Apr 29 19:18:28 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  classification = "B0290R (Integral equations); C4180 (Integral
                 equations); C7310 (Mathematics)",
  corpsource =   "Lawrence Livermore Lab., CA, USA",
  fjournal =     "Society for Industrial and Applied Mathematics.
                 Journal on Scientific and Statistical Computing",
  journal-URL =  "http://epubs.siam.org/loi/sjoce3",
  keywords =     "arbitrary polygonal channel; conformal map; elongated
                 regions; integral equations; mathematics computing;
                 modified Schwarz--Christoffel transformation; numerical
                 integration",
  treatment =    "T Theoretical or Mathematical",
}

@Article{Reddy:1990:LSF,
  author =       "Satish C. Reddy and Lloyd N. Trefethen",
  title =        "{Lax-stability} of fully discrete spectral methods via
                 stability regions and pseudo-eigenvalues",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "80",
  number =       "1--3",
  pages =        "147--164",
  year =         "1990",
  CODEN =        "CMMECC",
  ISSN =         "0045-7825, 0374-2830",
  ISSN-L =       "0045-7825",
  MRclass =      "65J10 (65L05 65P05); 65M12 (65M20 65M70)",
  MRnumber =     "MR1067947 (91j:65102); MR1180554 (93e:65115)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Spectral and high order methods for partial
                 differential equations (Como, 1989)",
  ZMnumber =     "0735.65070",
  classmath =    "*65M70 Spectral, collocation and related methods (IVP
                 of PDE) 65M20 Method of lines (IVP of PDE) 65M12
                 Stability and convergence of numerical methods (IVP of
                 PDE) 65L20 Stability of numerical methods for ODE",
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457825",
  keywords =     "Chebyshev collocation; Lax-stability; method of lines;
                 pseudo-eigenvalues; spectral methods; stability
                 region",
  ZMreviewer =   "V.Subba Rao",
}

@Article{Trefethen:1990:ACS,
  author =       "Lloyd N. Trefethen and Robert S. Schreiber",
  title =        "Average-Case Stability of {Gaussian} Elimination",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "11",
  number =       "3",
  pages =        "335--360",
  month =        jul,
  year =         "1990",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F05",
  MRnumber =     "MR1054179 (91g:65062)",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@InProceedings{Trefethen:1990:ATN,
  author =       "Lloyd N. Trefethen",
  title =        "Approximation theory and numerical linear algebra",
  crossref =     "Mason:1990:AAI",
  pages =        "336--360",
  year =         "1990",
  MRclass =      "65F10 (41A10 41A20)",
  MRnumber =     "MR1071991 (91j:65063)",
  MRreviewer =   "K. Jetter",
  bibdate =      "Sat Dec 09 12:32:52 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Trefethen:1990:CT,
  author =       "Lloyd N. Trefethen and E. Hayashi and M. H.
                 Gutknecht",
  title =        "The {CF} table",
  journal =      j-CONST-APPROX,
  volume =       "6",
  number =       "2",
  pages =        "195--223",
  year =         "1990",
  ISSN =         "0176-4276 (print), 1432-0940 (electronic)",
  ISSN-L =       "0176-4276",
  bibdate =      "Sat Dec 9 13:01:14 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Constructive Approximation",
  journal-URL =  "http://link.springer.com/journal/365",
}

@Article{Trefethen:1990:SUQ,
  author =       "Lloyd M. Trefethen and Ronald L. Panton",
  title =        "Some unanswered questions in fluid mechanics",
  journal =      j-APPL-MECH-REV,
  volume =       "43",
  number =       "8",
  pages =        "153--170",
  year =         "1990",
  CODEN =        "AMREAD",
  ISSN =         "0003-6900 (print), 1088-8535 (electronic)",
  ISSN-L =       "0003-6900",
  MRclass =      "76-06",
  MRnumber =     "MR1066082 (91j:76001)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Applied Mechanics Reviews",
  journal-URL =  "http://appliedmechanicsreviews.asmedigitalcollection.asme.org/issues.aspx",
}

@Article{Trefethen:1991:TRP,
  author =       "Lloyd N. Trefethen and J. A. C. Weideman",
  title =        "Two results on polynomial interpolation in equally
                 spaced points",
  journal =      j-J-APPROX-THEORY,
  volume =       "65",
  number =       "3",
  pages =        "247--260",
  year =         "1991",
  CODEN =        "JAXTAZ",
  ISSN =         "0021-9045 (print), 1096-0430 (electronic)",
  ISSN-L =       "0021-9045",
  MRclass =      "41A05 (41A10)",
  MRnumber =     "MR1109406 (92e:41007)",
  MRreviewer =   "Allan Pinkus",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Journal of Approximation Theory",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219045",
}

@Article{Nachtigal:1992:HFN,
  author =       "No{\"e}l M. Nachtigal and Satish C. Reddy and Lloyd N.
                 Trefethen",
  title =        "How Fast Are Nonsymmetric Matrix Iterations?",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "3",
  pages =        "778--795",
  month =        jul,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (65Y10)",
  MRnumber =     "MR1168079 (93a:65039)",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain, CO, 1990).",
  ZMnumber =     "0754.65036",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 65Y20
                 Complexity and performance of numerical algorithms",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "biconjugate gradient iteration; biorthogonalization
                 algorithm; CGN; CGS; conjugate gradient iteration;
                 convergence; GMRES; Krylov space; nonsymmetric matrix
                 iterations; performance; pseudo-eigenvalues; residual
                 minimization; singular values",
  ZMreviewer =   "A.Gal{\'a}ntai (Miskolc-Egyetemvaros)",
}

@Article{Nachtigal:1992:HGA,
  author =       "No{\"e}l M. Nachtigal and Lothar Reichel and Lloyd N.
                 Trefethen",
  title =        "A Hybrid {GMRES} Algorithm for Nonsymmetric Linear
                 Systems",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "13",
  number =       "3",
  pages =        "796--825",
  month =        jul,
  year =         "1992",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10",
  MRnumber =     "MR1168080 (93a:65040)",
  bibdate =      "Tue Jan 21 08:54:30 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain, CO, 1990).",
  ZMnumber =     "0757.65035",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "CGNR; CGS; convergence; generalized minimum residual
                 algorithm; GMRES; hybrid algorithms; iterative method;
                 Krylov subspace; large nonsymmetric systems; numerical
                 examples; pseudospectrum",
  ZMreviewer =   "J. P. Milaszewicz (Buenos Aires)",
}

@Article{Reddy:1992:SML,
  author =       "Satish C. Reddy and Lloyd N. Trefethen",
  title =        "Stability of the method of lines",
  journal =      j-NUM-MATH,
  volume =       "62",
  number =       "2",
  pages =        "235--267",
  year =         "1992",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65M20 (65F15 65M12)",
  MRnumber =     "MR1165912 (93d:65086)",
  MRreviewer =   "Dennis C. Jespersen",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Reichel:1992:EPE,
  author =       "Lothar Reichel and Lloyd N. Trefethen",
  title =        "Eigenvalues and pseudo-eigenvalues of {Toeplitz}
                 matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "162/164",
  pages =        "153--185",
  year =         "1992",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  MRclass =      "15A18 (47A75 47B35 65F15)",
  MRnumber =     "MR1148398 (92k:15028)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Directions in matrix theory (Auburn, AL, 1990)",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Article{Trefethen:1992:DNA,
  author =       "Lloyd N. Trefethen",
  title =        "The definition of numerical analysis",
  journal =      j-SIAM-NEWS,
  volume =       "25",
  day =          "6",
  month =        nov,
  year =         "1992",
  ISSN =         "0036-1437",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Reprinted in the {\sl Bulletin\/} of the Institute for
                 Mathematics and its Applications, 1993.",
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@Article{Trefethen:1992:EPE,
  author =       "Lloyd N. Trefethen and L. Reichel",
  title =        "Eigenvalues and pseudo-eigenvalues of {Toeplitz}
                 matrices",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "162--164",
  pages =        "153--185",
  year =         "1992",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Trefethen:1992:NDH,
  author =       "L. N. Trefethen and A. E. Trefethen and S. C. Reddy
                 and T. A. Driscoll",
  title =        "A new direction in hydrodynamic stability: beyond
                 eigenvalues",
  type =         "Technical Report",
  number =       "CTC92TR115",
  institution =  "Cornell Theory Center, Cornell University",
  address =      "Ithaca, NY, USA",
  month =        "????",
  year =         "1992",
  bibdate =      "Wed Jan 07 16:28:04 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Trefethen:1992:PLN,
  author =       "Lloyd N. Trefethen and A. E. Trefethen and S. C.
                 Reddy",
  title =        "Pseudospectra of the linear {Navier--Stokes} evolution
                 operator and instability of plane {Poiseuille} and
                 {Couette} flows",
  number =       "TR 92-1291",
  institution =  inst-CS-CORNELL,
  address =      inst-cs-cornell:adr,
  year =         "1992",
  bibdate =      "Mon Jul 11 13:19:59 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@InProceedings{Trefethen:1992:PM,
  author =       "Lloyd N. Trefethen",
  title =        "Pseudospectra of matrices",
  crossref =     "Griffiths:1991:NAP",
  pages =        "234--266",
  year =         "1992",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "MR1177237 (93e:65064)",
  MRreviewer =   "F. Szidarovszky",
  bibdate =      "Mon Jul 11 13:19:59 MDT 1994",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Trefethen:1992:SML,
  author =       "Lloyd N. Trefethen and S. C. Reddy",
  title =        "Stability of the method of lines",
  journal =      j-NUM-MATH,
  volume =       "62",
  number =       "2",
  pages =        "235--267",
  year =         "1992",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  bibdate =      "Sat Dec 9 13:03:29 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@TechReport{Greenbaum:1993:DPM,
  author =       "Anne Greenbaum and Lloyd N. Trefethen",
  title =        "Do The Pseudospectra of a Matrix Determine its
                 Behavior?",
  type =         "Technical Report",
  number =       "TR 93-1371",
  institution =  "Department of Computer Science, Cornell University",
  address =      "Ithaca, New York",
  pages =        "????",
  month =        aug,
  year =         "1993",
  bibdate =      "Mon Sep 26 10:24:43 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Higham:1993:SO,
  author =       "Desmond J. Higham and Lloyd N. Trefethen",
  title =        "Stiffness of {ODEs}",
  journal =      j-BIT,
  volume =       "33",
  number =       "2",
  pages =        "285--303",
  year =         "1993",
  CODEN =        "BITTEL, NBITAB",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65L15",
  MRnumber =     "MR1326020 (96a:65117)",
  bibdate =      "Fri Nov 13 11:55:54 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.mai.liu.se/BIT/contents/bit33.html",
  ZMnumber =     "0782.65091",
  acknowledgement = ack-nhfb,
  classmath =    "*65L06 Multistep, Runge--Kutta, and extrapolation
                 methods 65L05 Initial value problems for ODE (numerical
                 methods) 65L20 Stability of numerical methods for ODE
                 34A34 Nonlinear ODE and systems, general 34E13 Multiple
                 scale methods",
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
  keywords =     "numerical experiments; one-step methods; performance;
                 pseudospectrum; stability; stiff linear differential
                 equations",
  ZMreviewer =   "E.Hairer (Gen{\`e}ve)",
}

@TechReport{Reddy:1993:PCD,
  author =       "Satish C. Reddy and Lloyd N. Trefethen and D.
                 Pathria",
  title =        "Pseudospectrum of the Convection--Diffusion Operator",
  type =         "Technical Report",
  number =       "CTC 93 TR126",
  institution =  "Advanced Computing Research Institute, Cornell Theory
                 Center, Cornell University",
  address =      "Ithaca, New York",
  pages =        "????",
  year =         "1993",
  bibdate =      "Fri Sep 29 21:09:04 GMT 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  mynote =       "Not seen; verify.",
}

@Article{Trefethen:1993:HSE,
  author =       "Lloyd N. Trefethen and Anne E. Trefethen and Satish C.
                 Reddy and Tobin A. Driscoll",
  title =        "Hydrodynamic stability without eigenvalues",
  journal =      j-SCIENCE,
  volume =       "261",
  number =       "5121",
  pages =        "578--584",
  day =          "30",
  month =        jul,
  year =         "1993",
  CODEN =        "SCIEAS",
  ISSN =         "0036-8075 (print), 1095-9203 (electronic)",
  ISSN-L =       "0036-8075",
  MRclass =      "76E99",
  MRnumber =     "MR1229495",
  bibdate =      "Wed Jan 07 13:20:07 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0806.65031",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems",
  fjournal =     "American Association for the Advancement of Science.
                 Science",
  journal-URL =  "http://www.sciencemag.org/archive/",
  keywords =     "Arnoldi iterations; conjugate residual method;
                 convergence; GMRES algorithm; Lanczos iterations;
                 location of eigenvalues; weighted least squares",
  ZMreviewer =   "S.Zabek (Lublin)",
}

@InCollection{Trefethen:1993:NCC,
  author =       "Lloyd N. Trefethen",
  title =        "Numerical construction of conformal maps",
  crossref =     "Saff:1993:FCA",
  pages =        "??--??",
  year =         "1993",
  bibdate =      "Sat Dec 09 12:33:47 1995",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Greenbaum:1994:GCA,
  author =       "Anne Greenbaum and Lloyd N. Trefethen",
  title =        "{GMRES\slash CR} and {Arnoldi\slash L{\'a}nczos} as
                 Matrix Approximation Problems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "15",
  number =       "2",
  pages =        "359--368",
  month =        mar,
  year =         "1994",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F10 (65F15)",
  MRnumber =     "MR1261459 (95e:65029)",
  MRreviewer =   "Zden{\v{e}}k Dost{\'a}l",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Iterative methods in numerical linear algebra (Copper
                 Mountain Resort, CO, 1992).",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Reddy:1994:PCD,
  author =       "Satish C. Reddy and Lloyd N. Trefethen",
  title =        "Pseudospectra of the Convection-Diffusion Operator",
  journal =      j-SIAM-J-APPL-MATH,
  volume =       "54",
  number =       "6",
  pages =        "1634--1649",
  month =        dec,
  year =         "1994",
  CODEN =        "SMJMAP",
  ISSN =         "0036-1399 (print), 1095-712X (electronic)",
  ISSN-L =       "0036-1399",
  MRclass =      "47N20 (34L05 35Q99 47A10 65P05 76Rxx)",
  MRnumber =     "MR1301275 (95k:47108)",
  MRreviewer =   "D. M. Sloan",
  bibdate =      "Wed Dec 10 09:59:46 MST 1997",
  bibsource =    "Compendex database;
                 http://epubs.siam.org/sam-bin/dbq/toc/SIAP/54/6;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/24698",
  ZMnumber =     "0811.35026",
  acknowledgement = ack-nhfb,
  affiliation =  "Oregon State Univ",
  affiliationaddress = "Corvallis, OR, USA",
  classification = "921.6",
  classmath =    "*35J25 Second order elliptic equations, boundary value
                 problems 35P10 Eigenfunction expansions, etc. for PD
                 operators 47A10 Spectrum and resolvent of linear
                 operators 76R99 Diffusion and convection",
  fjournal =     "SIAM Journal on Applied Mathematics",
  journal-URL =  "http://epubs.siam.org/siap",
  journalabr =   "SIAM J Appl Math",
  keywords =     "Approximation theory; Convection diffusion operator;
                 Function evaluation; Mathematical operators; Parabolas;
                 Peclet number; Peclet numbers; Pseudospectra; Spectrum
                 analysis",
}

@Article{Toh:1994:PPP,
  author =       "Kim-Chuan Toh and Lloyd N. Trefethen",
  title =        "Pseudozeros of Polynomials and Pseudospectra of
                 Companion Matrices",
  journal =      j-NUM-MATH,
  volume =       "68",
  number =       "3",
  pages =        "403--425",
  year =         "1994",
  CODEN =        "NUMMA7",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65F35 (65H05)",
  MRnumber =     "MR1313152 (95m:65085)",
  MRreviewer =   "Guo Liang Chen",
  bibdate =      "Mon May 26 11:49:34 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0808.65053",
  acknowledgement = ack-nhfb,
  classification = "B0290F (Interpolation and function approximation);
                 B0290H (Linear algebra); C4130 (Interpolation and
                 function approximation); C4140 (Linear algebra)",
  classmath =    "*65F35 Matrix norms, etc. (numerical linear algebra)
                 65F15 Eigenvalues (numerical linear algebra) 65H05
                 Single nonlinear equations (numerical methods) 65H17
                 Eigenvalue and bifurcation problems of nonlinear
                 algebraic equations",
  corpsource =   "Center for Appl. Math., Cornell Univ., Ithaca, NY,
                 USA",
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
  keywords =     "companion matrices; companion matrix; conditioning;
                 eigenvalues; eigenvalues and eigenfunctions; matrix
                 algebra; numerical results; poles and zeros; polynomial
                 zerofinding; polynomials; pseudospectra; pseudozeros;
                 pseudozeros of polynomials",
  treatment =    "T Theoretical or Mathematical",
  ZMreviewer =   "S.Filippi (Gie{\ss}en)",
}

@TechReport{Trefethen:1994:SPP,
  author =       "L. N. Trefethen",
  title =        "Spectra and pseudospectra for pipe {Poiseuille} flow",
  type =         "IPS Research Report",
  number =       "94-16",
  institution =  "Interdisciplinary Project Center for Supercomputing,
                 ETH-Zurich",
  address =      "Zurich, Switzerland",
  month =        "????",
  year =         "1994",
  bibdate =      "Wed Jan 07 14:40:44 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Wegert:1994:BNP,
  author =       "Elias Wegert and Lloyd N. Trefethen",
  title =        "From the {Buffon} needle problem to the {Kreiss}
                 matrix theorem",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "101",
  number =       "2",
  pages =        "132--139",
  year =         "1994",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  MRclass =      "30C99 (15A57 60D05)",
  MRnumber =     "MR1259826 (95b:30036)",
  MRreviewer =   "A. Bultheel",
  bibdate =      "Wed Dec 3 17:17:33 MST 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "The American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Article{Baggett:1995:MLM,
  author =       "Jeffrey S. Baggett and Tobin A. Driscoll and Lloyd N.
                 Trefethen",
  title =        "A mostly linear model of transition to turbulence",
  journal =      j-PHYS-FLUIDS,
  volume =       "7",
  number =       "4",
  pages =        "833--838",
  month =        "????",
  year =         "1995",
  CODEN =        "PHFLE6",
  ISSN =         "1070-6631",
  ISSN-L =       "1070-6631",
  MRclass =      "76F99 (76E30)",
  MRnumber =     "MR1324952 (95k:76072)",
  bibdate =      "Wed Jan 07 13:00:42 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "1039.76509",
  acknowledgement = ack-nhfb,
  classmath =    "*76F06 Transition to turbulence",
  fjournal =     "Physics of Fluids",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/pof1",
}

@Article{Driscoll:1996:PWE,
  author =       "Tobin A. Driscoll and Lloyd N. Trefethen",
  title =        "Pseudospectra for the wave equation with an absorbing
                 boundary",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "69",
  number =       "1",
  pages =        "125--142",
  day =          "30",
  month =        apr,
  year =         "1996",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/0377-0427(95)00021-6",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65J10 (35L05 47A10 65M99)",
  MRnumber =     "MR1391615 (97e:65056)",
  bibdate =      "Sat Feb 25 12:27:49 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath1990.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/0377042795000216",
  ZMnumber =     "0854.35060",
  acknowledgement = ack-nhfb,
  classmath =    "*35L05 Wave equation 35P05 General spectral theory of
                 PDE 47A10 Spectrum and resolvent of linear operators
                 47D06 One-parameter semigroups and linear evolution
                 equations",
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
  keywords =     "absorbing boundary condition; nonnormality;
                 pseudospectra",
}

@Article{Toh:1996:CPA,
  author =       "Kim-Chuan Toh and Lloyd N. Trefethen",
  title =        "Calculation of pseudospectra by the {Arnoldi}
                 iteration",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "17",
  number =       "1",
  pages =        "1--15",
  month =        jan,
  year =         "1996",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "MR1375262 (97i:65064)",
  bibdate =      "Tue Apr 29 18:25:50 MDT 1997",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Special issue on iterative methods in numerical linear
                 algebra (Breckenridge, CO, 1994).",
  ZMnumber =     "0842.65022",
  acknowledgement = ack-nhfb,
  classmath =    "*65F15 Eigenvalues (numerical linear algebra)",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "Arnoldi iteration; Hessenberg matrices; iterative
                 algorithms; pseudospectra",
  ZMreviewer =   "Costica Morosanu (Iasi)",
}

@TechReport{Trefethen:1996:MBU,
  author =       "L. N. Trefethen and D. Viswanath",
  title =        "Matrix behaviour, unitary reducibility, and {Hadamard}
                 products",
  type =         "Technical Report",
  number =       "TR96-1596",
  institution =  "Department of Computer Science, Cornell University",
  address =      "Ithaca, NY, USA",
  month =        jul,
  year =         "1996",
  bibdate =      "Wed Jan 07 13:26:10 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@TechReport{Trefethen:1996:MMM,
  author =       "L. N. Trefethen and A. E. Trefethen and others",
  title =        "{MultiMATLAB}: {MATLAB} on multiple processors",
  type =         "Technical Report",
  number =       "CTC96TR293",
  institution =  "Cornell Theory Center, Cornell University",
  address =      "Ithaca, NY, USA",
  month =        "????",
  year =         "1996",
  bibdate =      "Wed Jan 07 15:18:18 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Trefethen:1996:PLO,
  author =       "L. N. Trefethen",
  title =        "Pseudospectra of linear operators",
  crossref =     "Kirchgassner:1996:IPT",
  pages =        "401--434",
  year =         "1996",
  MRclass =      "65J10 (15A18 47A10 65F15)",
  MRnumber =     "MR1387611 (96m:65064)",
  bibdate =      "Wed Jan 07 13:23:39 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Also in \cite{Trefethen:1997:PLO}.",
  acknowledgement = ack-nhfb,
}

@Article{Baggett:1997:LDM,
  author =       "Jeffrey S. Baggett and Lloyd N. Trefethen",
  title =        "Low-dimensional models of subcritical transition to
                 turbulence",
  journal =      j-PHYS-FLUIDS,
  volume =       "9",
  number =       "4",
  pages =        "1043--1053",
  year =         "1997",
  CODEN =        "PHFLE6",
  ISSN =         "1070-6631",
  ISSN-L =       "1070-6631",
  MRclass =      "76E05 (76E30 76F10 76M25)",
  MRnumber =     "MR1437563 (98a:76030)",
  MRreviewer =   "Tom{\'a}s Chac{\'o}n Rebollo",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Physics of Fluids",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/pof1",
}

@Article{Trefethen:1997:DPM,
  author =       "Lloyd N. Trefethen and A. Greenbaum",
  title =        "Do the pseudospectra of a matrix determine its
                 behavior?",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "??",
  pages =        "??--??",
  year =         "1997",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "To appear. The first author reports that the paper has
                 been accepted, subject to minor revisions.",
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@TechReport{Trefethen:1997:EMI,
  author =       "L. N. Trefethen and V. E. Howle",
  title =        "Eigenvalues and musical instruments",
  type =         "Technical Report",
  number =       "????",
  institution =  "????",
  address =      "????",
  month =        aug,
  year =         "1997",
  bibdate =      "Wed Jan 07 13:42:43 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:1997:LDM,
  author =       "L. N. Trefethen and J. S. Baggett",
  title =        "Low-dimensional models of subcritical transition to
                 turbulence",
  journal =      j-PHYS-FLUIDS,
  volume =       "9",
  number =       "4",
  pages =        "1043--1053",
  month =        "????",
  year =         "1997",
  CODEN =        "PHFLE6",
  ISSN =         "1070-6631",
  ISSN-L =       "1070-6631",
  bibdate =      "Wed Jan 07 14:41:58 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Physics of Fluids",
  journal-URL =  "http://scitation.aip.org/content/aip/journal/pof1",
}

@Book{Trefethen:1997:NLA,
  editor =       "Lloyd N. Trefethen and David {Bau, III}",
  title =        "Numerical Linear Algebra",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xii + 361",
  year =         "1997",
  ISBN =         "0-89871-361-7",
  ISBN-13 =      "978-0-89871-361-9",
  LCCN =         "QA184 .T74 1997",
  MRclass =      "65-01 (65-02 65Fxx)",
  MRnumber =     "MR1444820 (98k:65002)",
  MRreviewer =   "Moody T. Chu",
  bibdate =      "Wed Jan 07 15:23:19 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana1990.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface \\
                 Acknowledgments \\
                 Part I. Fundamentals \\
                 1. Matrix-vector multiplication \\
                 2. Orthogonal vectors and matrices \\
                 3. Norms \\
                 4. The singular value decomposition \\
                 5. More on the SVD \\
                 Part II. $Q R$ factorization and least squares \\
                 6. Projectors \\
                 7. $Q R$ factorization \\
                 8. Gram--Schmidt orthogonalization \\
                 9. MATLAB \\
                 10. Householder triangularization \\
                 11. Least squares problems \\
                 Part III. Conditioning and stability \\
                 12. Conditioning and condition numbers \\
                 13. Floating point arithmetic \\
                 14. Stability \\
                 15. More on stability \\
                 16. Stability of householder triangularization \\
                 17. Stability of back substitution \\
                 18. Conditioning of least squares problems \\
                 19. Stability of least squares algorithms \\
                 Part IV. Systems of equations \\
                 20. Gaussian elimination \\
                 21. Pivoting \\
                 22. Stability of Gaussian elimination \\
                 23. Cholesky factorization \\
                 Part V. Eigenvalues \\
                 24. Eigenvalue problems \\
                 25. Overview of Eigenvalue algorithms \\
                 26. Reduction to Hessenberg or tridiagonal form \\
                 27. Rayleigh quotient, inverse iteration \\
                 28. $Q R$ algorithm without shifts \\
                 29. $Q R$ algorithm with shifts \\
                 30. Other Eigenvalue algorithms \\
                 31. Computing the SVD \\
                 Part VI. Iterative methods \\
                 32. Overview of iterative methods \\
                 33. The Arnoldi iteration \\
                 34. How Arnoldi locates eigenvalues \\
                 35. GMRES \\
                 36. The Lanczos iteration \\
                 37. From Lanczos to Gauss quadrature \\
                 38. Conjugate gradients \\
                 39. Biorthogonalization methods \\
                 40. Preconditioning \\
                 Appendix. The definition of numerical analysis \\
                 Notes \\
                 Bibliography \\
                 Index",
}

@Article{Trefethen:1997:PLO,
  author =       "Lloyd N. Trefethen",
  title =        "Pseudospectra of Linear Operators",
  journal =      j-SIAM-REVIEW,
  volume =       "39",
  number =       "3",
  pages =        "383--406",
  month =        sep,
  year =         "1997",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144595295284",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "47A10 (15A18 47N40 65F15 76E05)",
  MRnumber =     "MR1469941 (98i:47004)",
  MRreviewer =   "Satish C. Reddy",
  bibdate =      "Sat Mar 29 09:55:51 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/39/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/29528",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1997",
}

@Article{Driscoll:1998:PTM,
  author =       "Tobin A. Driscoll and Kim-Chuan C. Toh and Lloyd N.
                 Trefethen",
  title =        "From Potential Theory to Matrix Iterations in Six
                 Steps",
  journal =      j-SIAM-REVIEW,
  volume =       "40",
  number =       "3",
  pages =        "547--578",
  month =        sep,
  year =         "1998",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144596305582",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65F10 (31A99 65N99)",
  MRnumber =     "MR1642795 (99f:65049)",
  MRreviewer =   "Andreas Rathsfeld",
  bibdate =      "Sat Mar 29 09:56:00 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/40/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30558",
  ZMnumber =     "0930.65020",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 30C20
                 Conformal mappings of special domains 41A10
                 Approximation by polynomials 30E10 Approximation in the
                 complex domain",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "conformal mapping; convergence; Krylov subspaces;
                 matrix iterations; numerical examples; polynomial
                 approximation; potential theory; semidefinite
                 programming",
  onlinedate =   "January 1998",
  ZMreviewer =   "D.Gaier (Gie{\ss}en)",
}

@InProceedings{Jonsson:1998:NAL,
  author =       "G. F. J{\o}nsson and L. N. Trefethen",
  title =        "A numerical analyst looks at the ``cutoff phenomenon''
                 in card shuffling and other {Markov} chains",
  crossref =     "Higham:1998:NAP",
  pages =        "150--178",
  year =         "1998",
  MRclass =      "65U05 (65F30)",
  MRnumber =     "MR1636951 (99i:65155)",
  MRreviewer =   "Sergei A. Nemnyugin",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Toh:1998:CPM,
  author =       "Kim-Chuan Toh and Lloyd N. Trefethen",
  title =        "The {Chebyshev} Polynomials of a Matrix",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "20",
  number =       "2",
  pages =        "400--419",
  month =        apr,
  year =         "1998",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479896303739",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "15A60 (41A30)",
  MRnumber =     "MR1651393 (99m:15028)",
  MRreviewer =   "Vladimir B. Larin",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/20/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/30373",
  ZMnumber =     "0922.65019",
  acknowledgement = ack-nhfb,
  classmath =    "*65F10 Iterative methods for linear systems 15A60
                 Appl. of functional analysis to matrix theory 65K05
                 Mathematical programming (numerical methods)",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "algorithm; Chebyshev polynomial of a matrix; Krylov
                 subspace iteration; matrix polynomial; primal-dual
                 interior point method; pseudospectra; semidefinite
                 programming",
  ZMreviewer =   "Alexey Alimov (Moskva)",
}

@InProceedings{Trefethen:1998:NAL,
  author =       "L. N. Trefethen and G. F. J{\o}nsson",
  title =        "A numerical analyst looks at the `cutoff phenomenon'
                 in card shuffling and other {Markov} chains",
  crossref =     "Higham:1998:NAP",
  pages =        "??--??",
  year =         "1998",
  bibdate =      "Wed Jan 07 13:27:45 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@InProceedings{Trefethen:1998:SCM,
  author =       "Lloyd N. Trefethen and Tobin A. Driscoll",
  title =        "{Schwarz--Christoffel} mapping in the computer era",
  crossref =     "Fischer:1998:PIC",
  pages =        "533--542",
  year =         "1998",
  MRclass =      "30C30 (31A05 65E05)",
  MRnumber =     "MR1648186 (99i:30012)",
  MRreviewer =   "N. Papamichael",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Extra volume III.",
}

@Article{Viswanath:1998:CNR,
  author =       "D. Viswanath and L. N. Trefethen",
  title =        "Condition Numbers of Random Triangular Matrices",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "19",
  number =       "2",
  pages =        "564--581",
  month =        apr,
  year =         "1998",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F35 (15A12 15A52 65U05)",
  MRnumber =     "MR1614019 (99b:65061)",
  bibdate =      "Fri Dec 4 12:14:09 MST 1998",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/19/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/31286",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Embree:1999:GDR,
  author =       "Mark Embree and Lloyd N. Trefethen",
  title =        "Growth and decay of random {Fibonacci} sequences",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "455",
  number =       "1987",
  pages =        "2471--2485",
  day =          "8",
  month =        jul,
  year =         "1999",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.1999.0412/",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "11K31 (11B39)",
  MRnumber =     "MR1807827 (2001i:11098)",
  MRreviewer =   "Robert F. Tichy",
  bibdate =      "Tue Sep 27 19:08:10 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  abstract =     "For $ 0 < \beta < \beta * \approx 0.70258 $, solutions
                 to the random recurrence $ x_{n + 1} = x_n \pm \beta
                 x_{n - 1} $ decay exponentially as $ n \to \infty $
                 with probability one, whereas for $ \beta > \beta * $,
                 they grow exponentially. By formulating the problem as
                 a Markov chain involving random matrix products and
                 computing its invariant measure (a fractal) the
                 Lyapunov constant $ \sigma (\beta) = \lim_{n \to \infty
                 } |x_n|^{1 / n} $ is determined numerically for a wide
                 range of values $ \beta $, and its dependence on $
                 \beta $ is observed to be non-smooth. (The limit is
                 defined in the almost sure sense.) This generalizes
                 recent work of Viswanath, who proved $ \sigma (1) =
                 1.131 988 24 \ldots {} $. By a simple rescaling, these
                 results also apply to the more general random
                 recurrence $ x_{n + 1} = \alpha x_n \pm \beta x_{n - 1}
                 $ for fixed $ \alpha $ and $ \beta $. These random
                 recurrence relations have links with many fields,
                 including ergodic theory, dynamical systems,
                 heavy-tailed statistics, spectral theory, continued
                 fractions, and condensed matter physics.",
  fjournal =     "The Royal Society of London. Proceedings. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  keywords =     "Fibonacci sequence; Lyapunov constant; Markov chain;
                 random matrix products; random recurrences; Viswanath's
                 constant",
}

@Article{Embree:1999:GFM,
  author =       "Mark Embree and Lloyd N. Trefethen",
  title =        "{Green}'s Functions for Multiply Connected Domains via
                 Conformal Mapping",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "4",
  pages =        "745--761",
  month =        dec,
  year =         "1999",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144598349277",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "30E10 (30C20 31A99 65E05)",
  MRnumber =     "MR1722999 (2000h:30053)",
  bibdate =      "Sat Mar 29 09:56:11 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/41/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/34927",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1999",
}

@Article{Toh:1999:KMT,
  author =       "Kim-Chuan Toh and Lloyd N. Trefethen",
  title =        "The {Kreiss} matrix theorem on a general complex
                 domain",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "21",
  number =       "1",
  pages =        "145--165",
  year =         "1999",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "65F10 (15A60 30E10 65J10)",
  MRnumber =     "MR1709731 (2000h:65054)",
  MRreviewer =   "Guo Liang Chen",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "0946.65029",
  classmath =    "*65F35 Matrix norms, etc. (numerical linear algebra)
                 65F10 Iterative methods for linear systems 15A60 Appl.
                 of functional analysis to matrix theory 30E10
                 Approximation in the complex domain",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
  keywords =     "conformal mapping; Faber polynomials; Hilbert space;
                 Kreiss matrix theorem; Krylov subspaces; polynomials of
                 a matrix",
  ZMreviewer =   "Michael Sever (Jerusalem)",
}

@Article{Trefethen:1999:CP,
  author =       "Lloyd N. Trefethen",
  title =        "Computation of pseudospectra",
  journal =      j-ACTA-NUMERICA,
  volume =       "8",
  pages =        "247--295",
  year =         "1999",
  CODEN =        "ANUMFU",
  DOI =          "https://doi.org/10.1017/S0962492900002932",
  ISBN =         "0-521-77088-2",
  ISBN-13 =      "978-0-521-77088-0",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  MRclass =      "65F15 (65F35 65Y05)",
  MRnumber =     "MR1819647 (2002b:65062)",
  MRreviewer =   "Rafikul Alam",
  bibdate =      "Sat Sep 24 10:23:38 MDT 2011",
  bibsource =    "ftp://ftp.math.utah.edu/pub/mirrors/ftp.ira.uka.de/bibliography/Math/computer.arithmetic.1.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/actanumerica.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Acta Numer.",
  crindex =      "Manquant",
  fjournal =     "Acta Numerica",
  journal-URL =  "http://journals.cambridge.org/action/displayJournal?jid=ANU",
  onlinedate =   "07 November 2008",
}

@TechReport{Trefethen:1999:MMM,
  author =       "Anne E. Trefethen and Vijay S. Menon and Chi-Chao
                 Chang and Grzegorz J. Czajkowski and Chris Myers and
                 Lloyd N. Trefethen",
  title =        "{MultiMATLAB}: {MATLAB} on Multiple Processors",
  institution =  "Cornell Theory Center and Computer Science
                 Department",
  address =      "Cornell University, Ithaca, NY",
  day =          "19",
  month =        aug,
  year =         "1999",
  bibdate =      "Thu Oct 24 08:03:25 2002",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.cs.cornell.edu/Info/People/lnt/multimatlab.html",
  acknowledgement = ack-nhfb,
}

@InProceedings{Trefethen:1999:SP,
  author =       "Lloyd N. Trefethen",
  editor =       "Mark Ainsworth and Jeremy Levesley and Marco
                 Marletta",
  booktitle =    "The Graduate Student's Guide to Numerical Analysis
                 '98",
  title =        "Spectra and Pseudospectra",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "217--250",
  year =         "1999",
  bibdate =      "Wed Aug 24 16:03:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@InCollection{Trefethen:1999:SPB,
  author =       "Lloyd N. Trefethen",
  title =        "Spectra and pseudospectra. {The} behaviour of
                 non-normal matrices and operators",
  crossref =     "Ainsworth:1999:GSG",
  pages =        "217--250",
  year =         "1999",
  MRclass =      "65F15 (15A18)",
  MRnumber =     "MR1715035",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
}

@Article{Trefethen:1999:SPP,
  author =       "Anne E. Trefethen and Lloyd N. Trefethen and Peter J.
                 Schmid",
  title =        "Spectra and pseudospectra for pipe {Poiseuille} flow",
  journal =      j-COMPUT-METH-APPL-MECH-ENG,
  volume =       "175",
  number =       "3--4",
  pages =        "413--420",
  year =         "1999",
  CODEN =        "CMMECC",
  ISSN =         "0045-7825, 0374-2830",
  ISSN-L =       "0045-7825",
  MRclass =      "76M25",
  MRnumber =     "MR1702189 (2000c:76069)",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Computer Methods in Applied Mechanics and
                 Engineering",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00457825",
}

@Article{Trefethen:1999:SRa,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "1",
  pages =        "1--2",
  month =        mar,
  year =         "1999",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Oct 27 14:32:49 MDT 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/41/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97019",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Trefethen:1999:SRb,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "2",
  pages =        "197--197",
  month =        jun,
  year =         "1999",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000041000002000197000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:07 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/41/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97024",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1999",
}

@Article{Trefethen:1999:SRc,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "3",
  pages =        "415--415",
  month =        sep,
  year =         "1999",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000041000003000415000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:09 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/41/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97029",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1999",
}

@Article{Trefethen:1999:SRd,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "41",
  number =       "4",
  pages =        "635--635",
  month =        dec,
  year =         "1999",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000041000004000635000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:11 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/41/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97035",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 1999",
}

@Article{Trefethen:19xx:PTM,
  author =       "L. N. Trefethen and T. A. Driscoll and K.-C. Toh.",
  title =        "From potential theory to matrix iterations in six
                 steps",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "??",
  number =       "??",
  pages =        "??--??",
  month =        "????",
  year =         "19xx",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Wed Jan 07 16:22:20 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "To appear.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Toh:2000:KMT,
  author =       "Kim-Chuan Toh and Lloyd N. Trefethen",
  title =        "The {Kreiss} Matrix Theorem on a General Complex
                 Domain",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "21",
  number =       "1",
  pages =        "145--165",
  month =        jan,
  year =         "2000",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Sat Jan 22 14:39:17 MST 2000",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/21/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/32402",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Trefethen:2000:HMS,
  author =       "L. N. Trefethen and L. M. Trefethen",
  title =        "How many shuffles to randomize a deck of cards?",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "456",
  number =       "2002",
  pages =        "2561--2568",
  day =          "8",
  month =        oct,
  year =         "2000",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2000.0625",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "60C05 (05A05 60B10 60J10 94A17)",
  MRnumber =     "MR1796496 (2001k:60009)",
  MRreviewer =   "David J. Grabiner",
  bibdate =      "Tue Sep 27 19:07:32 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  abstract =     "A celebrated theorem of Aldous, Bayer and Diaconis
                 asserts that it takes $ \asymp 3 / 2 l o g_2 n $ riffle
                 shuffles to randomize a deck of $n$ cards,
                 asymptotically as $ n \to \infty $, and that the
                 randomization occurs abruptly according to a `cut-off
                 phenomenon'. These results depend upon measuring
                 randomness by a quantity known as the total variation
                 distance. If randomness is measured by uncertainty or
                 entropy in the sense of information theory, the
                 behaviour is different. It takes only $ \asymp \log_2 n
                 $ shuffles to reduce the information to a proportion
                 arbitrarily close to zero, and $ \asymp 3 / 2 \log_2 n
                 $ to reduce it to an arbitrarily small number of bits.
                 At $ 3 / 2 > \log_2 n $ shuffles, ca. $ 0.0601 $ bits
                 remain, independently of $n$.",
  fjournal =     "The Royal Society of London. Proceedings. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Book{Trefethen:2000:SMM,
  author =       "Lloyd N. Trefethen",
  title =        "Spectral Methods in {MATLAB}",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xvi + 165",
  year =         "2000",
  ISBN =         "0-89871-465-6 (paperback), 0-89871-959-3 (e-book)",
  ISBN-13 =      "978-0-89871-465-4 (paperback), 978-0-89871-959-8
                 (e-book)",
  LCCN =         "QA377 .T65 2000",
  MRclass =      "65-01 (65-04)",
  MRnumber =     "MR1776072 (2001c:65001)",
  bibdate =      "Tue Jan 23 09:04:41 2001",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/master.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2000.bib",
  series =       "Software, environments, tools",
  abstract =     "This is the only book on spectral methods built around
                 MATLAB programs. Along with finite differences and
                 finite elements, spectral methods are one of the three
                 main technologies for solving partial differential
                 equations on computers. Since spectral methods involve
                 significant linear algebra and graphics they are very
                 suitable for the high level programming of MATLAB. This
                 hands-on introduction is built around forty short and
                 powerful MATLAB programs, which the reader can download
                 from the World Wide Web. This book presents the key
                 ideas along with many figures, examples, and short,
                 elegant MATLAB programs for readers to adapt to their
                 own needs. It covers ODE and PDE boundary value
                 problems, eigenvalues and pseudospectra, linear and
                 nonlinear waves, and numerical quadrature.",
  acknowledgement = ack-njh,
  keywords =     "differential equations, partial --- numerical
                 solutions --- data processing; Matlab; spectral theory
                 (mathematics)",
  tableofcontents = "Preface \\
                 Acknowledgments \\
                 A note on the MATLAB programs \\
                 1. Differentiation matrices \\
                 2. Unbounded grids: The semidiscrete Fourier transform
                 \\
                 3. Periodic grids --- The DFT and FFT \\
                 4. Smoothness and spectral accuracy \\
                 5. Polynomial interpolation and clustered grids \\
                 6. Chebyshev differentiation matrices \\
                 7. Boundary value problems \\
                 8. Chebyshev series and the FFT \\
                 9. Eigenvalues and pseudospectra \\
                 10. Time-stepping and stability regions \\
                 11. Polar coordinates \\
                 12. Integrals and quadrature formulas \\
                 13. More about boundary conditions \\
                 14. Fourth-order problems \\
                 Afterword \\
                 Bibliography \\
                 Index",
}

@Article{Trefethen:2000:SRa,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "1",
  pages =        "1--1",
  month =        mar,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000042000001000001000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:13 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/42/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97041",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2000",
}

@Article{Trefethen:2000:SRb,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "2",
  pages =        "159--159",
  month =        jun,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000042000002000159000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:15 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/42/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97050",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2000",
}

@Article{Trefethen:2000:SRIa,
  author =       "Nick Trefethen",
  title =        "Survey and review --- Introduction",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "3",
  pages =        "367--367",
  month =        sep,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000042000003000367000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:18 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/42/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97051",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2000",
  xxonlinedate = "Sep-2000",
  xxtitle =      "Survey and Review",
}

@Article{Trefethen:2000:SRIb,
  author =       "Nick Trefethen",
  title =        "Survey and review --- Introduction",
  journal =      j-SIAM-REVIEW,
  volume =       "42",
  number =       "4",
  pages =        "553--553",
  month =        dec,
  year =         "2000",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000042000004000553000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:20 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/42/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97056",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 2000",
}

@Article{Banjai:2001:NSO,
  author =       "Lehel Banjai and Lloyd N. Trefethen",
  title =        "Numerical solution of the omitted area problem of
                 univalent function theory",
  journal =      j-COMPUT-METH-FUNCT-THEORY,
  volume =       "1",
  number =       "1",
  pages =        "259--273",
  year =         "2001",
  CODEN =        "????",
  ISSN =         "1617-9447",
  MRclass =      "30C30 (30C75)",
  MRnumber =     "MR1931615 (2003k:30014)",
  MRreviewer =   "N. Papamichael",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "1007.30009",
  classmath =    "*30C30 Numerical methods in conformal mapping theory
                 30C75 Extremal problems for (quasi-)conformal mappings,
                 other methods 65E05 Numerical methods in complex
                 analysis",
  fjournal =     "Computational Methods and Function Theory",
  keywords =     "numerical conformal mapping; omitted area problem;
                 univalent function theory",
}

@Article{Embree:2001:GET,
  author =       "Mark Embree and Lloyd N. Trefethen",
  title =        "Generalizing Eigenvalue Theorems to Pseudospectra
                 Theorems",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "583--590",
  month =        mar,
  year =         "2001",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827500373012",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/37301",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Misc{Embree:2001:PG,
  author =       "Mark Embree and Lloyd N. Trefethen",
  title =        "Pseudospectra Gateway",
  howpublished = "Web site",
  year =         "2001",
  bibdate =      "Sun Jun 19 16:38:45 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.comlab.ox.ac.uk/pseudospectra",
  abstract =     "Eigenvalue analysis of non-hermitian matrices and
                 operators can be misleading: Predictions often fail to
                 match observations. Specifically, trouble may arise
                 when the associated sets of eigenvectors are
                 ill-conditioned with respect to the norm of applied
                 interest. In the case of the familiar Euclidean or
                 2-norm, this means that the matrix or operator is
                 non-normal, and the eigenvectors are not orthogonal.
                 Pseudospectra provide an analytical and graphical
                 alternative for investigating non-normal matrices and
                 operators.",
  acknowledgement = ack-nhfb,
}

@Article{Howle:2001:EMI,
  author =       "V. E. Howle and Lloyd N. Trefethen",
  title =        "Eigenvalues and musical instruments",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "135",
  number =       "1",
  pages =        "23--40",
  day =          "1",
  month =        oct,
  year =         "2001",
  CODEN =        "JCAMDI",
  DOI =          "https://doi.org/10.1016/S0377-0427(00)00560-4",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "74H45 (00A69 34B05 70J10)",
  MRnumber =     "MR1854442 (2002i:74024)",
  bibdate =      "Sat Feb 25 12:45:20 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042700005604",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Trefethen:2001:SPL,
  author =       "Lloyd N. Trefethen and Marco Contedini and Mark
                 Embree",
  title =        "Spectra, pseudospectra, and localization for random
                 bidiagonal matrices",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "54",
  number =       "5",
  pages =        "595--623",
  year =         "2001",
  CODEN =        "CPAMAT",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "15A52 (15A18 60F99)",
  MRnumber =     "MR1811128 (2002c:15047)",
  MRreviewer =   "Nicholas S. Witte",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
}

@Article{Trefethen:2001:SRa,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "43",
  number =       "1",
  pages =        "1--1",
  month =        mar,
  year =         "2001",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000043000001000001000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:22 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/43/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97061",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2001",
}

@Article{Trefethen:2001:SRb,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "43",
  number =       "2",
  pages =        "233--233",
  month =        jun,
  year =         "2001",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000043000002000233000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:24 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/43/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97066",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2001",
}

@Article{Trefethen:2001:SRc,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "43",
  number =       "3",
  pages =        "411--411",
  month =        sep,
  year =         "2001",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000043000003000411000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:26 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/43/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97071",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2001",
}

@Article{Trefethen:2001:SRd,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "43",
  number =       "4",
  pages =        "583--583",
  month =        dec,
  year =         "2001",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000043000004000583000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:28 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/43/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97076",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2001",
}

@Article{Wright:2001:CLC,
  author =       "Thomas G. Wright and Lloyd N. Trefethen",
  title =        "Computing {Lyapunov} constants for random recurrences
                 with smooth coefficients",
  journal =      j-J-COMPUT-APPL-MATH,
  volume =       "132",
  number =       "2",
  pages =        "331--340",
  day =          "15",
  month =        jul,
  year =         "2001",
  CODEN =        "JCAMDI",
  ISSN =         "0377-0427 (print), 1879-1778 (electronic)",
  ISSN-L =       "0377-0427",
  MRclass =      "65C40",
  MRnumber =     "MR1840632 (2002d:65010)",
  bibdate =      "Sat Feb 25 12:45:19 MST 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputapplmath2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0377042700004374",
  acknowledgement = ack-nhfb,
  fjournal =     "Journal of Computational and Applied Mathematics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/03770427",
}

@Article{Wright:2001:LSC,
  author =       "Thomas G. Wright and Lloyd N. Trefethen",
  title =        "Large-Scale Computation of Pseudospectra Using
                 {ARPACK} and {\tt eigs}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "591--605",
  month =        mar,
  year =         "2001",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S106482750037322X",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15 (65F50)",
  MRnumber =     "MR1861267 (2002h:65061)",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Copper Mountain Conference (2000).",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/37322",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "Matlab",
}

@Article{Bottcher:2002:PCT,
  author =       "Albrecht B{\"o}ttcher and Mark Embree and Lloyd N.
                 Trefethen",
  title =        "Piecewise continuous {Toeplitz} matrices and
                 operators: slow approach to infinity",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "24",
  number =       "2",
  pages =        "484--489",
  year =         "2002",
  CODEN =        "SJMAEL",
  DOI =          "https://doi.org/10.1137/S0895479800376971",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  MRclass =      "47B35 (15A18 15A60 47A10)",
  MRnumber =     "MR1951133 (2004b:47049)",
  MRreviewer =   "Paolo Tilli",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Book{Driscoll:2002:SCM,
  author =       "Tobin A. Driscoll and Lloyd N. Trefethen",
  title =        "{Schwarz--Christoffel} mapping",
  volume =       "8",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "xvi + 132",
  year =         "2002",
  ISBN =         "0-521-80726-3",
  ISBN-13 =      "978-0-521-80726-5",
  LCCN =         "QA360 .D75 2002",
  MRclass =      "30C30 (30-02 30-04 65E05)",
  MRnumber =     "MR1908657 (2003e:30012)",
  MRreviewer =   "N. Papamichael",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Cambridge Monographs on Applied and Computational
                 Mathematics",
}

@TechReport{Dussaud:2002:HDC,
  author =       "Eric Dussaud and Chris Husband and Hoang Nguyen and
                 Dan Reynolds and Christiaan Stolk",
  title =        "Hundred Digit Challenge Solutions",
  institution =  "Department of Computational and Applied Mathematics,
                 Rice University",
  address =      "Houston, TX, USA",
  pages =        "21",
  day =          "16",
  month =        may,
  year =         "2002",
  bibdate =      "Tue Jan 03 16:43:13 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www.caam.rice.edu/caam/trs/2002/TR02-06.pdf;
                 http://www.caam.rice.edu/caam/trs/2002/TR02-06.ps;
                 http://www.caam.rice.edu/caam/trs/2002_abstracts.html#TR02-06",
  acknowledgement = ack-nhfb,
  remark =       "CAAM Technical Report",
}

@Misc{Gonnet:2002:SSD,
  author =       "Gaston Gonnet and Robert Israel",
  title =        "Solutions to the {SIAM 100-Dollar, 100-Digit
                 Challenge}",
  howpublished = "World-Wide Web document.",
  year =         "2002",
  bibdate =      "Tue Jan 03 16:53:24 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www.math.ubc.ca/~israel/challenge/challenge.html",
  acknowledgement = ack-nhfb,
}

@Misc{Kaplan:2002:BSS,
  author =       "Danny Kaplan and Stan Wagon",
  title =        "Brief Solutions to the {SIAM Hundred-Dollar,
                 Hundred-Digit Challenge}",
  howpublished = "World-Wide Web document.",
  day =          "27",
  month =        jun,
  year =         "2002",
  bibdate =      "Tue Jan 03 16:49:32 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://stanwagon.com/wagon/Misc/HTMLLinks/SIAMchallenge_2.html",
  acknowledgement = ack-nhfb,
}

@Article{Keller:2002:LEH,
  author =       "Joseph B. Keller",
  title =        "Letter to the {Editor}: The Hundred-dollar,
                 Hundred-digit Challenge",
  journal =      j-SIAM-NEWS,
  volume =       "35",
  number =       "10",
  pages =        "??--??",
  month =        dec,
  year =         "2002",
  ISSN =         "0036-1437",
  bibdate =      "Tue Jan 03 16:40:28 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.siam.org/siamnews/12-02/letter.htm",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@Misc{Kern:2002:SHD,
  author =       "Michel Kern",
  title =        "Solution to the {``Hundred-dollar, Hundred-digit
                 Challenge''}",
  howpublished = "World-Wide Web document.",
  pages =        "14",
  day =          "17",
  month =        may,
  year =         "2002",
  bibdate =      "Tue Jan 03 16:33:02 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www-rocq.inria.fr/~kern/Challenge/challenge.pdf",
  acknowledgement = ack-nhfb,
}

@TechReport{Kern:2002:SSH,
  author =       "Michel Kern",
  title =        "Solution to the {SIAM ``Hundred-dollar, Hundred-digit
                 Challenge''}",
  type =         "Report",
  number =       "4472",
  institution =  "INRIA",
  address =      "Unit{\'e} de recherche INRIA Rocquencourt, Domaine de
                 Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex,
                 France",
  pages =        "21",
  month =        may,
  year =         "2002",
  ISSN =         "0249-6399",
  bibdate =      "Tue Jan 03 16:34:51 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www-rocq.inria.fr/who/Michel.Kern/Challenge/RR-challenge.pdf;
                 http://www-rocq.inria.fr/~kern/Challenge/challenge.html;
                 http://www.lacim.uqam.ca/~plouffe/OEIS/citations/RR-4472.pdf",
  acknowledgement = ack-nhfb,
}

@Misc{Laurie:2002:STH,
  author =       "Dirk Laurie",
  title =        "Solutions to {Trefethen}'s Hundred-dollar,
                 Hundred-digit challenge problems",
  howpublished = "World-Wide Web document.",
  pages =        "2",
  day =          "23",
  month =        may,
  year =         "2002",
  bibdate =      "Tue Jan 03 16:29:42 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://dip.sun.ac.za/~laurie/trefethen-challenge/;
                 http://dip.sun.ac.za/~laurie/trefethen-challenge/howsolved.pdf",
  acknowledgement = ack-nhfb,
}

@Misc{McInturff:2002:SHD,
  author =       "Kim McInturff and Peter S. Simon",
  title =        "Solutions for the Hundred-Dollar, Hundred-Digit
                 Challenge",
  howpublished = "World-Wide Web document.",
  pages =        "46",
  day =          "29",
  month =        apr,
  year =         "2002",
  bibdate =      "Tue Jan 03 16:25:21 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www.vcnet.com/~simonp/;
                 http://www.vcnet.com/~simonp/solutions.pdf",
  acknowledgement = ack-nhfb,
}

@Misc{Medley:2002:SC,
  author =       "Brian Medley and Bernard B. Beard and Marijke van
                 Gans",
  title =        "The 2002 {SIAM} Challenge",
  howpublished = "World-Wide Web document.",
  year =         "2002",
  bibdate =      "Tue Jan 03 16:58:20 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://www.maxwellian.demon.co.uk/~marijke/SIAM2002/;
                 http://www.maxwellian.demon.co.uk/~marijke/SIAM2002/siamscim.pdf",
  acknowledgement = ack-nhfb,
}

@Misc{Specht:2002:HSH,
  author =       "Eckard Specht and Martin Wohlgemuth and Clemens Raab
                 and Lutz Gehlen",
  title =        "How to solve the {``A Hundred-Dollar, Hundred-Digit
                 Challenge''}",
  howpublished = "World-Wide Web document.",
  pages =        "15",
  year =         "2002",
  bibdate =      "Tue Jan 03 16:27:38 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See
                 \cite{Trefethen:2002:HDH,Trefethen:2002:DCC,Trefethen:2002:SDD}.",
  URL =          "http://matheplanet.com/matheplanet/nuke/html/matroid/siam/siam_results.pdf",
  acknowledgement = ack-nhfb,
}

@Article{Trefethen:2002:DCC,
  author =       "Lloyd N. Trefethen",
  title =        "The \$100, 100-digit Challenge: Chastened Challenge
                 Sponsor: ``{I} Misjudged''",
  journal =      j-SIAM-NEWS,
  volume =       "35",
  number =       "6",
  pages =        "4",
  month =        jul # "\slash " # aug,
  year =         "2002",
  ISSN =         "0036-1437",
  bibdate =      "Tue Jan 03 17:04:04 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.siam.org/siamnews/07-02/challengeupdate.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
  remark =       "From the text: ``In the January announcement I wrote,
                 If anyone gets 50 digits in total, I will be impressed.
                 Well, I misjudged. In the end, along with plenty of
                 scores in the twenties, forties, and sixties, at the
                 top we had twenty perfect scores. After them came five
                 teams who scored 99 out of 100. Six further teams
                 scored between 90 and 98.''",
}

@Article{Trefethen:2002:HDH,
  author =       "Lloyd N. Trefethen",
  title =        "A Hundred-Dollar, Hundred-Digit Challenge",
  journal =      j-SIAM-NEWS,
  volume =       "35",
  number =       "1",
  pages =        "??--??",
  month =        jan,
  year =         "2002",
  ISSN =         "0036-1437",
  bibdate =      "Tue Jan 03 15:43:17 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See solutions
                 \cite{Bornemann:2004:SDC,Dussaud:2002:HDC,Gonnet:2002:SSD,Kaplan:2002:BSS,Kern:2002:SHD,Kern:2002:SSH,Laurie:2002:STH,McInturff:2002:SHD,Medley:2002:SC,Specht:2002:HSH,Trefethen:2002:DCC,Trefethen:2002:SDD}.
                 From the solutions Web site: ``Ninety-four teams from
                 twenty-five countries entered the competition. Of
                 these, twenty teams scored 100 points and thus are
                 counted as FIRST PRIZE WINNERS''.",
  URL =          "http://dip.sun.ac.za/~laurie/trefethen-challenge/challenge.ps;
                 http://mathworld.wolfram.com/Hundred-DollarHundred-DigitChallengeProblems.html;
                 http://spiff.rit.edu/classes/phys317/lectures/intro/hundred_dollar.pdf;
                 http://web.comlab.ox.ac.uk/oucl/work/nick.trefethen/hundred.html;
                 http://www.siam.org/siamnews/01-02/challenge.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@Article{Trefethen:2002:SDD,
  author =       "Lloyd N. Trefethen",
  title =        "The {SIAM} 100-Dollar, 100-Digit Challenge",
  journal =      j-SIAM-NEWS,
  volume =       "35",
  number =       "6",
  pages =        "2",
  month =        jul # "\slash " # aug,
  year =         "2002",
  ISSN =         "0036-1437",
  bibdate =      "Tue Jan 03 17:12:22 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.siam.org/siamnews/06-02/challengedigits.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM News",
  journal-URL =  "http://www.siam.org/news/",
}

@Article{Trefethen:2002:SRa,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "44",
  number =       "1",
  pages =        "1--1",
  month =        mar,
  year =         "2002",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000044000001000001000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:31 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/44/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97081",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2002",
}

@Article{Trefethen:2002:SRb,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "44",
  number =       "2",
  pages =        "167--167",
  month =        jun,
  year =         "2002",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000044000002000167000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:33 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/44/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97086",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2002",
}

@Article{Trefethen:2002:SRc,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "44",
  number =       "3",
  pages =        "309--309",
  month =        sep,
  year =         "2002",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000044000003000309000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:35 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/44/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97091",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2002",
}

@Article{Trefethen:2002:SRd,
  author =       "Nick Trefethen",
  title =        "Survey and Review",
  journal =      j-SIAM-REVIEW,
  volume =       "44",
  number =       "4",
  pages =        "523--523",
  month =        dec,
  year =         "2002",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/SIREAD000044000004000523000001",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Sat Mar 29 09:56:37 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/44/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97096",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2002",
}

@Article{Trefethen:2002:SRI,
  author =       "N. Trefethen",
  title =        "Survey and review --- Introduction",
  journal =      j-SIAM-REVIEW,
  volume =       "44",
  number =       "4",
  pages =        "523--523",
  month =        "????",
  year =         "2002",
  CODEN =        "SIREAD",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Jun 21 11:25:02 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "December 2002",
}

@Article{vanderVorst:2002:CMC,
  author =       "Henk van der Vorst and Iain Duff and Howard Elman and
                 Ronal Freund and Tim Kelley and Seymour Parter and
                 Gerhard Starke and Nick Trefethen and Panayot
                 Vassilevski and Homer Walker and Olof Widlund",
  title =        "{2000 Copper Mountain Conference}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "23",
  number =       "2",
  pages =        "vii--vii",
  month =        mar,
  year =         "2002",
  CODEN =        "SJOCE3",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Jul 25 09:55:57 MDT 2001",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/23/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/v/vandervorst-henk-a.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/97414",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Wright:2002:PRM,
  author =       "Thomas G. Wright and Lloyd N. Trefethen",
  title =        "Pseudospectra of rectangular matrices",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "22",
  number =       "4",
  pages =        "501--519",
  month =        oct,
  year =         "2002",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/22.4.501",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F15",
  MRnumber =     "MR1936516 (2003m:65056)",
  MRreviewer =   "Jesse L. Barlow",
  bibdate =      "Fri Oct 18 09:49:23 MDT 2002",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/",
  URL =          "http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/220501.sgm.abs.html;
                 http://www3.oup.co.uk/imanum/hdb/Volume_22/Issue_04/pdf/220501.pdf",
  abstract =     "Pseudospectra of rectangular matrices vary
                 continuously with the matrix entries, a feature that
                 eigenvalues of these matrices do not have. Some
                 properties of eigenvalues and pseudospectra of
                 rectangular matrices are explored, and an efficient
                 algorithm for the computation of pseudospectra is
                 proposed. Applications are given in (square) eigenvalue
                 computation (Lanczos iteration), square pseudospectra
                 approximation (Arnoldi iteration), control theory
                 (nearest uncontrollable system) and game theory.",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
}

@Article{Banjai:2003:MMS,
  author =       "Lehel Banjai and L. N. Trefethen",
  title =        "A Multipole Method for {Schwarz--Christoffel} Mapping
                 of Polygons with Thousands of Sides",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "3",
  pages =        "1042--1065",
  month =        may,
  year =         "2003",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827502411675",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "30C30 (65E05)",
  MRnumber =     "MR2046124 (2004m:30011)",
  MRreviewer =   "N. Papamichael",
  bibdate =      "Mon Jan 12 19:00:43 MST 2004",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/41167",
  ZMnumber =     "1060.30012",
  acknowledgement = ack-nhfb,
  classmath =    "*30C30 Numerical methods in conformal mapping theory
                 65E05 Numerical methods in complex analysis 70F10
                 n-body problem",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "conformal mapping; fast multipole method; Koch
                 snowflake; Schwarz--Christoffel mapping",
}

@Article{Bottcher:2003:PCT,
  author =       "Albrecht B{\"o}ttcher and Mark Embree and Lloyd N.
                 Trefethen",
  title =        "Piecewise Continuous {Toeplitz} Matrices and
                 Operators: {Slow} Approach to Infinity",
  journal =      j-SIAM-J-MAT-ANA-APPL,
  volume =       "24",
  number =       "2",
  pages =        "484--489",
  month =        apr,
  year =         "2003",
  CODEN =        "SJMAEL",
  ISSN =         "0895-4798 (print), 1095-7162 (electronic)",
  ISSN-L =       "0895-4798",
  bibdate =      "Fri Aug 15 05:45:45 MDT 2003",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIMAX/24/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/37697",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Matrix Analysis and Applications",
  journal-URL =  "http://epubs.siam.org/simax",
}

@Article{Meseguer:2003:LPF,
  author =       "{\'A}. Meseguer and L. N. Trefethen",
  title =        "Linearized pipe flow to {Reynolds} number {$ 10^7 $}",
  journal =      j-J-COMPUT-PHYS,
  volume =       "186",
  number =       "1",
  pages =        "178--197",
  day =          "20",
  month =        mar,
  year =         "2003",
  CODEN =        "JCTPAH",
  DOI =          "https://doi.org/10.1016/S0021-9991(03)00029-9",
  ISSN =         "0021-9991 (print), 1090-2716 (electronic)",
  ISSN-L =       "0021-9991",
  MRclass =      "76M22",
  MRnumber =     "MR1967366",
  bibdate =      "Mon Jan 2 22:12:28 MST 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib",
  URL =          "http://www.sciencedirect.com/science/article/pii/S0021999103000299",
  ZMnumber =     "1047.76565",
  acknowledgement = ack-nhfb,
  classmath =    "*76M22 Spectral methods 76D05 Navier--Stokes equations
                 (fluid dynamics)",
  fjournal =     "Journal of Computational Physics",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00219991/",
}

@Book{Saff:2003:FCA,
  author =       "Edward B. Saff and Arthur David Snider and Lloyd N.
                 (Lloyd Nicholas) Trefethen and Tobin A. (Tobin Allen)
                 Driscoll",
  title =        "Fundamentals of complex analysis: with applications to
                 engineering and science",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  edition =      "Third",
  pages =        "xi + 511",
  year =         "2003",
  ISBN =         "0-13-907874-6, 0-13-017968-X (International ed.)",
  ISBN-13 =      "978-0-13-907874-3, 978-0-13-017968-5 (International
                 ed.)",
  LCCN =         "QA300 .S18 2003",
  bibdate =      "Thu Nov 17 07:04:29 MST 2005",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 library.ox.ac.uk:210/ADVANCE;
                 melvyl.cdlib.org:210/CDL90;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  keywords =     "MATLAB toolbox",
  remark =       "Rev. ed. of: Fundamentals of complex analysis for
                 mathematics, science, and engineering. 2nd ed. c1993.",
  subject =      "Mathematical analysis; Functions of complex
                 variables",
}

@Article{Battles:2004:EMC,
  author =       "Zachary Battles and Lloyd N. Trefethen",
  title =        "An Extension of {MATLAB} to Continuous Functions and
                 Operators",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "25",
  number =       "5",
  pages =        "1743--1770",
  month =        sep,
  year =         "2004",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827503430126",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "41-04 (65-04)",
  MRnumber =     "MR2087334 (2005e:41001)",
  bibdate =      "Sat Apr 16 12:07:14 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/25/5;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/43012",
  ZMnumber =     "1057.65003",
  acknowledgement = ack-nhfb,
  classmath =    "*65D05 Interpolation (numerical methods) 41-04 Machine
                 computation, programs (approximations and expansions)",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "barycentric formula; Chebyshev points; FFT;
                 interpolation; MATLAB; spectral methods",
}

@Article{Berrut:2004:BLI,
  author =       "Jean-Paul Berrut and Lloyd N. Trefethen",
  title =        "Barycentric {Lagrange} Interpolation",
  journal =      j-SIAM-REVIEW,
  volume =       "46",
  number =       "3",
  pages =        "501--517",
  month =        sep,
  year =         "2004",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144502417715",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65D05",
  MRnumber =     "MR2115059 (2005k:65018)",
  MRreviewer =   "Mao Dong Ye",
  bibdate =      "Sat Apr 16 12:47:32 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/46/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/41771",
  ZMnumber =     "1061.65006",
  acknowledgement = ack-nhfb,
  classmath =    "*65D05 Interpolation (numerical methods) 65L10
                 Boundary value problems for ODE (numerical methods)
                 41A05 Interpolation 65L60 Finite numerical methods for
                 ODE 34B15 Nonlinear boundary value problems of ODE",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "barycentric formula; Chebyshev interpolation;
                 collocation method; Lagrange polynomial interpolation;
                 Laurent interpolation; Newton interpolation; Sinc
                 interpolation; stability; trigonometric interpolation",
}

@Book{Bornemann:2004:SDC,
  author =       "Folkmar Bornemann and Dirk Laurie and Stan Wagon and
                 J{\"o}rg Waldvogel",
  title =        "The {SIAM} 100-digit challenge",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "xii + 306",
  year =         "2004",
  ISBN =         "0-89871-561-X (paperback)",
  ISBN-13 =      "978-0-89871-561-3 (paperback)",
  LCCN =         "QA297 .S4782 2004",
  MRclass =      "65-02",
  MRnumber =     "MR2076374 (2005c:65002)",
  MRreviewer =   "Brian Bradie",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "A study in high-accuracy numerical computing, with a
                 foreword by David H. Bailey. See
                 \cite{Trefethen:2002:HDH}.",
  price =        "US\$57.00",
  URL =          "http://www-m8.mathematik.tu-muenchen.de/m3/ftp/Bornemann/pdf/story.pdf",
  ZMnumber =     "1060.65002",
  abstract =     "This book takes readers on a thrilling tour of some of
                 the most important and powerful areas of contemporary
                 numerical mathematics. The tour is organized along the
                 10 problems of the SIAM 100-Digit Challenge, a contest
                 posed by Nick Trefethen of Oxford University in the
                 January/February 2002 issue of SIAM News. The complete
                 story of the contest as well as a lively interview with
                 Nick Trefethen are also included. The authors, members
                 of teams that solved all 10 problems, show in detail
                 multiple approaches for solving each problem, ranging
                 from elementary to sophisticated, from brute-force to
                 schemes that can be scaled to provide thousands of
                 digits of accuracy and that can solve even larger
                 related problems. The authors touch on virtually every
                 major technique of modern numerical analysis: matrix
                 computation, iterative linear methods, limit
                 extrapolation and convergence acceleration, numerical
                 quadrature, contour integration, discretization of
                 PDEs, global optimization, Monte Carlo and evolutionary
                 algorithms, error control, interval and high-precision
                 arithmetic, and many more.",
}

@Article{Trefethen:2004:WPP,
  author =       "Lloyd N. Trefethen and S. J. Chapman",
  title =        "Wave packet pseudomodes of twisted {Toeplitz}
                 matrices",
  journal =      j-COMM-PURE-APPL-MATH,
  volume =       "57",
  number =       "9",
  pages =        "1233--1264",
  year =         "2004",
  CODEN =        "CPAMAT",
  DOI =          "https://doi.org/10.1002/cpa.20034",
  ISSN =         "0010-3640 (print), 1097-0312 (electronic)",
  ISSN-L =       "0010-3640",
  MRclass =      "47B35 (15A57 47A75)",
  MRnumber =     "MR2059680 (2005c:47035)",
  MRreviewer =   "Stefano Serra Capizzano",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "Communications on Pure and Applied Mathematics",
  journal-URL =  "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312",
}

@Article{Betcke:2005:RMP,
  author =       "Timo Betcke and Lloyd N. Trefethen",
  title =        "Reviving the Method of Particular Solutions",
  journal =      j-SIAM-REVIEW,
  volume =       "47",
  number =       "3",
  pages =        "469--491",
  month =        sep,
  year =         "2005",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/S0036144503437336",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  bibdate =      "Fri Dec 30 07:13:11 MST 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/47/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/43733",
  ZMnumber =     "02205852",
  acknowledgement = ack-nhfb,
  classmath =    "*65N35 Collocation methods (BVP of PDE) 65F22
                 Ill-posedness, regularization 65N25 Numerical methods
                 for eigenvalue problems (BVP of PDE)",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "eigenvalues; method of particular solutions; subspace
                 angles",
}

@Article{Kassam:2005:FOT,
  author =       "Aly-Khan Kassam and Lloyd N. Trefethen",
  title =        "Fourth-Order Time-Stepping for Stiff {PDEs}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "26",
  number =       "4",
  pages =        "1214--1233",
  month =        jul,
  year =         "2005",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/S1064827502410633",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65M70 (65L05 65M20)",
  MRnumber =     "MR2143482",
  bibdate =      "Sat Apr 16 12:07:25 MDT 2005",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/26/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://epubs.siam.org/sam-bin/dbq/article/41063",
  ZMnumber =     "02207102",
  acknowledgement = ack-nhfb,
  classmath =    "*65M70 Spectral, collocation and related methods (IVP
                 of PDE) 65L05 Initial value problems for ODE (numerical
                 methods) 65M20 Method of lines (IVP of PDE)",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "Allen--Cahn; Burgers; ETD; exponential
                 time-differencing; implicit-explicit; integrating
                 factor; KdV; Kuramoto--Sivashinsky; split step",
}

@Book{Trefethen:2005:SPB,
  author =       "Lloyd N. Trefethen and Mark Embree",
  title =        "Spectra and Pseudospectra: the Behavior of Nonnormal
                 Matrices and Operators",
  publisher =    pub-PRINCETON,
  address =      pub-PRINCETON:adr,
  pages =        "xviii + 606",
  year =         "2005",
  ISBN =         "0-691-11946-5",
  ISBN-13 =      "978-0-691-11946-5",
  LCCN =         "QA320 .T67 2005",
  MRclass =      "15-02 (15A18 47A10 47A50)",
  MRnumber =     "MR2155029",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "The behavior of nonnormal matrices and operators",
  URL =          "http://www.loc.gov/catdir/enhancements/fy0654/2005046573-b.html;
                 http://www.loc.gov/catdir/enhancements/fy0654/2005046573-d.html;
                 http://www.loc.gov/catdir/enhancements/fy0654/2005046573-t.html",
  tableofcontents = "Preface / xiii \\
                 Acknowledgments / xv \\
                 I. Introduction / 1 \\
                 1. Eigenvalues / 3 \\
                 2. Pseudospectra of matrices / 12 \\
                 3. A matrix example / 22 \\
                 4. Pseudospectra of linear operators / 27 \\
                 5. An operator example / 34 \\
                 6. History of pseudospectra / 41 \\
                 II. Toeplitz Matrices / 47 \\
                 7. Toeplitz matrices and boundary pseudomodes / 49 \\
                 8. Twisted Toeplitz matrices and wave packet
                 pseudomodes / 62 \\
                 9. Variations on twisted Toeplitz matrices / 74 \\
                 III. Differential Operators / 85 \\
                 10. Differential operators and boundary pseudomodes /
                 87 \\
                 11. Variable coefficients and wave packet pseudomodes /
                 98 \\
                 12. Advection-diffusion operators / 115 \\
                 13. Lewy--Hormander nonexistence of solutions / 126 \\
                 IV. Transient Effects and Nonnormal Dynamics / 133 \\
                 14. Overview of transients and pseudospectra / 135 \\
                 15. Exponentials of matrices and operators / 148 \\
                 16. Powers of matrices and operators / 158 \\
                 17. Numerical range, abscissa, and radius / 166 \\
                 18. The Kreiss Matrix Theorem / 176 \\
                 19. Growth bound theorem for semigroups / 185 \\
                 V. Fluid Mechanics / 193 \\
                 20. Stability of fluid flows / 195 \\
                 21. A model of transition to turbulence / 207 \\
                 22. Orr--Sommerfeld and Airy operators / 215 \\
                 23. Further problems in fluid mechanics / 224 \\
                 VI. Matrix Iterations / 229 \\
                 24. Gauss--Seidel and SOR iterations / 231 \\
                 25. Upwind effects and SOR convergence / 237 \\
                 26. Krylov subspace iterations / 244 \\
                 27. Hybrid iterations / 254 \\
                 28. Arnoldi and related eigenvalue iterations / 263 \\
                 29. The Chebyshev polynomials of a matrix / 278 \\
                 VII. Numerical Solution of Differential Equations / 287
                 \\
                 30. Spectral differentiation matrices / 289 \\
                 31. Nonmodal instability of PDE discretizations / 295
                 \\
                 32. Stability of the method of lines / 302 \\
                 33. Stiffness of OD Es / 314 \\
                 34. GKS-stability of boundary conditions / 322 \\
                 VIII. Random Matrices / 331 \\
                 35. Random dense matrices / 333 \\
                 36. Hatano--Nelson matrices and localization / 339 \\
                 37. Random Fibonacci matrices / 351 \\
                 38. Random triangular matrices / 359 \\
                 IX. Computation of Pseudospectra / 369 \\
                 39. Computation of matrix pseudospectra / 371 \\
                 40. Projection for large-scale matrices / 381 \\
                 41. Other computational techniques / 391 \\
                 42. Pseudospectral abscissae and radii / 397 \\
                 43. Discretization of continuous operators / 405 \\
                 44. A flow chart of pseudospectra algorithms / 416 \\
                 X. Further Mathematical Issues / 421 \\
                 45. Generalized eigenvalue problems / 423 \\
                 46. Pseudospectra of rectangular matrices / 430 \\
                 47. Do pseudospectra determine behavior? / 437 \\
                 48. Scalar measures of nonnormality / 442 \\
                 49. Distance to singularity and instability / 447 \\
                 50. Structured pseudospectra / 458 \\
                 51. Similarity transformations and canonical forms /
                 466 \\
                 52. Eigenvalue perturbation theory / 473 \\
                 53. Backward error analysis / 485 \\
                 54. Group velocity and pseudospectra / 492 \\
                 XI. Further Examples and Applications / 499 \\
                 55. Companion matrices and zeros of polynomials / 501
                 \\
                 56. Markov chains and the cutoff phenomenon / 508 \\
                 57. Card shuffling / 519 \\
                 58. Population ecology / 526 \\
                 59. The Papkovich--Fadle operator / 534 \\
                 60. Lasers / 542 \\
                 References / 555 \\
                 Index / 597",
}

@Article{Trefethen:2005:WPP,
  author =       "Lloyd N. Trefethen",
  title =        "Wave packet pseudomodes of variable coefficient
                 differential operators",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "461",
  number =       "2062",
  pages =        "3099--3122",
  day =          "13",
  month =        jul,
  year =         "2005",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2005.1500",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "34L99 (34D09 47E05 47G30 81Q20)",
  MRnumber =     "MR2172219",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  abstract =     "The pseudospectra of non-selfadjoint linear ordinary
                 differential operators with variable coefficients are
                 considered. It is shown that when a certain winding
                 number or twist condition is satisfied, closely related
                 to H{\"o}rmander's commutator condition for partial
                 differential equations, $ \epsilon
                 $-pseudoeigenfunctions of such operators for
                 exponentially small values of $ \epsilon $ exist in the
                 form of localized wave packets. In contrast to related
                 results of Davies and of Dencker, Sj{\"o}strand \&
                 Zworski, the symbol need not be smooth. Applications in
                 fluid mechanics, non-hermitian quantum mechanics and
                 other areas are presented with the aid of high-accuracy
                 numerical computations.",
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
}

@Article{Tee:2006:RSC,
  author =       "T. W. Tee and Lloyd N. Trefethen",
  title =        "A rational spectral collocation method with adaptively
                 transformed {Chebyshev} grid points",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "28",
  number =       "5",
  pages =        "1798--1811 (electronic)",
  year =         "2006",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/050641296",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65M70",
  MRnumber =     "MR2272189 (2008k:65213)",
  MRreviewer =   "Becca Thomases",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@InCollection{Trefethen:2006:CEP,
  author =       "Lloyd N. Trefethen and Timo Betcke",
  booktitle =    "Recent advances in differential equations and
                 mathematical physics",
  title =        "Computed eigenmodes of planar regions",
  volume =       "412",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "297--314",
  year =         "2006",
  MRclass =      "35J05 (35P05 65N25)",
  MRnumber =     "MR2259116 (2008a:35042)",
  MRreviewer =   "Francesco Zirilli",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Contemp. Math.",
}

@Unpublished{Trefethen:2006:FTR,
  author =       "L. N. Trefethen and J. A. C. Weideman",
  title =        "The Fast Trapezoid Rule in Scientific Computing",
  year =         "2006",
  bibdate =      "Mon Nov 24 20:49:48 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Unpublished manuscript.",
  acknowledgement = ack-nhfb,
}

@InCollection{Trefethen:2006:NSP,
  author =       "Nike Trefethen",
  booktitle =    "Seminaire: {{\'E}quations aux D{\'e}riv{\'e}es
                 Partielles}. 2005--2006",
  title =        "Nonhermitian systems and pseudospectra",
  publisher =    "{\'E}cole Polytechnique",
  address =      "Palaiseau, France",
  pages =        "x + 13",
  year =         "2006",
  MRclass =      "47A10 (15A18 47A50)",
  MRnumber =     "MR2276076 (2007h:47010)",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "S\'emin. \'Equ. D\'eriv. Partielles",
  URL =          "http://www.numdam.org/item?id=SEDP_2005-2006____A10_0",
}

@Article{Trefethen:2006:TQR,
  author =       "L. N. Trefethen and J. A. C. Weideman and T.
                 Schmelzer",
  title =        "{Talbot} quadratures and rational approximations",
  journal =      j-BIT-NUM-MATH,
  volume =       "46",
  number =       "3",
  pages =        "653--670",
  month =        sep,
  year =         "2006",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-006-0077-9",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65D30; 41A20",
  bibdate =      "Mon Nov 24 22:25:27 MST 2008",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=46&issue=3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib",
  note =         "In memory of Germund Dahlquist (1925--2005).",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=46&issue=3&spage=653",
  acknowledgement = ack-nhfb,
  journal-URL =  "http://link.springer.com/journal/10543",
  keywords =     "Carath{\'e}odory--Fej{\'e}r approximation; Hankel
                 contour; inverse Laplace transform; quadrature;
                 rational approximation; special functions; Talbot
                 contour; trapezoid rule",
}

@Article{Weideman:2006:OTC,
  author =       "J. A. C. Weideman and L. N. Trefethen",
  title =        "Optimizing {Talbot}'s Contours for the Inversion of
                 the {Laplace} Transform",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "44",
  number =       "6",
  pages =        "2342--2362",
  month =        jan,
  year =         "2006",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/050625837",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri May 28 08:26:12 2010",
  bibsource =    "http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=44&Issue=6;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  abstract =     "Talbot's method for the numerical inversion of the
                 Laplace transform consists of numerically integrating
                 the Bromwich integral on a special contour by means of
                 the trapezoidal or midpoint rules. In this paper we
                 address the issue of parameter selection in the method,
                 for the particular situation when parabolic PDEs are
                 solved. In the process the well-known subgeometric
                 convergence rate $ O(\exp ( - c \sqrt {N})) $ of this
                 method is improved to the geometric rate $ O(\exp ( - c
                 N)) $, with $N$ the number of nodes in the integration
                 rule. The value of the maximum decay rate $c$ is
                 explicitly determined. Numerical results for two
                 versions of the heat equation are presented. With the
                 choice of parameters derived here, the rule of thumb is
                 that to achieve an accuracy of $ 10^{- \ell } $ at any
                 given time, the associated elliptic problem has to be
                 solved no more than $ \ell $ times.",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Gutknecht:2007:PSV,
  author =       "Martin Gutknecht and Michael Overton and Lothar
                 Reichel and Daniel B. Szyld and Nick Trefethen and Paul
                 {Van Dooren} and Andy Wathen",
  title =        "Preface: {Special} volume dedicated to {Gene Golub} on
                 the occasion of his 75th birthday",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "28",
  pages =        "vii",
  year =         "2007\slash 2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65-06 (01A70)",
  MRnumber =     "MR2455655",
  bibdate =      "Wed May 19 16:25:33 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Special volume for Gene Golub.",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Schmelzer:2007:CGF,
  author =       "Thomas Schmelzer and Lloyd N. Trefethen",
  title =        "Computing the Gamma Function Using Contour Integrals
                 and Rational Approximations",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "45",
  number =       "2",
  pages =        "558--571",
  month =        "????",
  year =         "2007",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/050646342",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Mon Nov 24 18:03:07 MST 2008",
  bibsource =    "http://siamdl.aip.org/dbt/dbt.jsp?KEY=SJNAAM&Volume=45&Issue=2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Schmelzer:2007:EMF,
  author =       "Thomas Schmelzer and Lloyd N. Trefethen",
  title =        "Evaluating matrix functions for exponential
                 integrators via {Carath{\'e}odory--Fej{\'e}r}
                 approximation and contour integrals",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "29",
  pages =        "1--18",
  year =         "2007\slash 2008",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65M20 (30E10 41A20 65L05)",
  MRnumber =     "MR2494943 (2010b:65190)",
  MRreviewer =   "Othmar Koch",
  bibdate =      "Wed May 19 16:25:33 2010",
  bibsource =    "http://etna.mcs.kent.edu/;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://etna.mcs.kent.edu/vol.29.2007-2008/pp1-18.dir/pp1-18.pdf",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Trefethen:2007:CNF,
  author =       "Lloyd N. Trefethen",
  title =        "Computing numerically with functions instead of
                 numbers",
  journal =      j-MATH-COMPUT-SCI,
  volume =       "1",
  number =       "1",
  pages =        "9--19",
  month =        dec,
  year =         "2007",
  CODEN =        "????",
  DOI =          "https://doi.org/10.1007/s11786-007-0001-y",
  ISSN =         "1661-8270 (print), 1661-8289 (electronic)",
  ISSN-L =       "1661-8270",
  MRclass =      "41Axx (68W30)",
  MRnumber =     "MR2384813",
  bibdate =      "Thu Jul 9 15:43:39 MDT 2009",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=1661-8270&volume=1&issue=1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=1661-8270&volume=1&issue=1&spage=9",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics in Computer Science",
  journal-URL =  "http://www.springerlink.com/content/1661-8270/",
  keywords =     "Mathematics Subject Classification (2000); Primary
                 41A10; Secondary 68W30",
}

@Article{Weideman:2007:KPF,
  author =       "J. A. C. Weideman and L. N. Trefethen",
  title =        "The kink phenomenon in {Fej{\'e}r} and
                 {Clenshaw--Curtis} quadrature",
  journal =      j-NUM-MATH,
  volume =       "107",
  number =       "4",
  pages =        "707--727",
  month =        oct,
  year =         "2007",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-007-0101-2",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D30 (41A55)",
  MRnumber =     "MR2342649 (2008i:65048)",
  MRreviewer =   "Komali S. Sastri",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Weideman:2007:PHC,
  author =       "J. A. C. Weideman and L. N. Trefethen",
  title =        "Parabolic and hyperbolic contours for computing the
                 {Bromwich} integral",
  journal =      j-MATH-COMPUT,
  volume =       "76",
  number =       "259",
  pages =        "1341--1356",
  month =        jul,
  year =         "2007",
  CODEN =        "MCMPAF",
  ISSN =         "0025-5718 (paper), 1088-6842 (electronic)",
  ISSN-L =       "0025-5718",
  MRclass =      "65D30 (44A10 65R10)",
  MRnumber =     "MR2299777 (2008c:65072)",
  MRreviewer =   "S. Hitotumatu",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.ams.org/mcom/2007-76-259;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/home.html;
                 http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.dvi;
                 http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.pdf;
                 http://www.ams.org/mcom/2007-76-259/S0025-5718-07-01945-X/S0025-5718-07-01945-X.ps",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics of Computation",
  journal-URL =  "http://www.ams.org/mcom/",
}

@Article{Driscoll:2008:CSA,
  author =       "Tobin A. Driscoll and Folkmar Bornemann and Lloyd N.
                 Trefethen",
  title =        "The {\tt chebop} system for automatic solution of
                 differential equations",
  journal =      j-BIT,
  volume =       "48",
  number =       "4",
  pages =        "701--723",
  year =         "2008",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-008-0198-4",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  MRclass =      "65Y15 (65L10 65M70 65N35)",
  MRnumber =     "MR2465699 (2009j:65381)",
  MRreviewer =   "Kenneth Wright",
  bibdate =      "Wed May 19 16:25:33 2010",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Hale:2008:CRM,
  author =       "Nicholas Hale and Nicholas J. Higham and Lloyd N.
                 Trefethen",
  title =        "Computing {$ {\bf A}_\alpha, \ \log ({\bf A}) $}, and
                 related matrix functions by contour integrals",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "46",
  number =       "5",
  pages =        "2505--2523",
  year =         "2008",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/070700607",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65F30",
  MRnumber =     "MR2421045",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Hale:2008:NQF,
  author =       "Nicholas Hale and Lloyd N. Trefethen",
  title =        "New quadrature formulas from conformal maps",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "46",
  number =       "2",
  pages =        "930--948",
  year =         "2008",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/07068607X",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65D32 (30C20 30E10 30E20 41A10 65D30)",
  MRnumber =     "MR2383217 (2008m:65074)",
  MRreviewer =   "F. W. Stallmann",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
}

@Article{Trefethen:2008:GQB,
  author =       "Lloyd N. Trefethen",
  title =        "Is {Gauss} quadrature better than
                 {Clenshaw--Curtis}?",
  journal =      j-SIAM-REVIEW,
  volume =       "50",
  number =       "1",
  pages =        "67--87",
  year =         "2008",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/060659831",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65D32 (41A20 41A55 41A58)",
  MRnumber =     "MR2403058",
  bibdate =      "Tue Nov 25 07:34:14 2008",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://link.aip.org/link/?SIR/50/67/1",
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Pachon:2009:BRA,
  author =       "Ricardo Pach{\'o}n and Lloyd N. Trefethen",
  title =        "{Barycentric--Remez} algorithms for best polynomial
                 approximation in the {{\tt chebfun}} system",
  journal =      j-BIT-NUM-MATH,
  volume =       "49",
  number =       "4",
  pages =        "721--741",
  month =        dec,
  year =         "2009",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-009-0240-1",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Mon May 24 15:36:47 MDT 2010",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=49&issue=4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=49&issue=4&spage=721",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT. Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
}

@Article{Pachon:2010:PSC,
  author =       "Ricardo Pach{\'o}n and Rodrigo B. Platte and Lloyd N.
                 Trefethen",
  title =        "Piecewise-smooth chebfuns",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "30",
  number =       "4",
  pages =        "898--916",
  month =        oct,
  year =         "2010",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drp008",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  bibdate =      "Wed Oct 13 18:32:48 MDT 2010",
  bibsource =    "http://imanum.oxfordjournals.org/content/30/4.toc;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://imajna.oxfordjournals.org/content/30/4/898.full.pdf+html",
  abstract =     "Algorithms are described that make it possible to
                 manipulate piecewise-smooth functions on real intervals
                 numerically with close to machine precision. Break
                 points are introduced in some such calculations at
                 points determined by numerical root finding and in
                 others by recursive subdivision or automatic edge
                 detection. Functions are represented on each smooth
                 subinterval by Chebyshev series or interpolants. The
                 algorithms are implemented in object-oriented Matlab in
                 an extension of the chebfun system, which was
                 previously limited to smooth functions on $ [ - 1, 1]
                 $.",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "barycentric interpolation; chebfun system; chebfuns;
                 Chebyshev series; edge detection; Matlab",
  onlinedate =   "July 28, 2009",
}

@InCollection{Platte:2010:CNK,
  author =       "R. B. Platte and L. N. Trefethen",
  editor =       "Alistair D. Fitt and John Norbury and Eddie Wilson and
                 Hilary Ockendon",
  booktitle =    "Progress in industrial mathematics at {ECMI 2008}",
  title =        "{Chebfun}: a new kind of numerical computing",
  volume =       "15",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "69--87",
  year =         "2010",
  DOI =          "https://doi.org/10.1007/978-3-642-12110-4_5",
  ISBN =         "3-642-12110-1",
  ISBN-13 =      "978-3-642-12110-4",
  MRclass =      "65D99 (65Y15)",
  MRnumber =     "2767023",
  bibdate =      "Fri Nov 9 17:28:33 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Mathematics in Industry",
  acknowledgement = ack-nhfb,
}

@Article{Suli:2010:BMB,
  author =       "Endre S{\"u}li and Nick Trefethen and Andy Wathen",
  title =        "{Bill Morton}'s 80th birthday conference",
  journal =      j-MATH-TODAY,
  volume =       "46",
  number =       "4",
  pages =        "174--175",
  year =         "2010",
  ISSN =         "1361-2042",
  MRclass =      "65-03",
  MRnumber =     "2676141",
  bibdate =      "Thu Mar 31 10:01:47 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics Today",
  journal-URL =  "http://ima.org.uk/activities/publications/mathematics_today.cfm.html",
}

@Article{Trefethen:2010:HTQ,
  author =       "Lloyd N. Trefethen",
  title =        "{Householder} triangularization of a quasimatrix",
  journal =      j-IMA-J-NUMER-ANAL,
  volume =       "30",
  number =       "4",
  pages =        "887--897",
  month =        oct,
  year =         "2010",
  CODEN =        "IJNADH",
  DOI =          "https://doi.org/10.1093/imanum/drp018",
  ISSN =         "0272-4979 (print), 1464-3642 (electronic)",
  ISSN-L =       "0272-4979",
  MRclass =      "65F25 (15A03 65D05 65F20 65T50)",
  MRnumber =     "2727808 (2012c:65070)",
  MRreviewer =   "Pablo Guerrero-Garc{\'{\i}}a",
  bibdate =      "Wed Oct 13 18:32:48 MDT 2010",
  bibsource =    "http://imanum.oxfordjournals.org/content/30/4.toc;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://imajna.oxfordjournals.org/content/30/4/887.full.pdf+html",
  abstract =     "A standard algorithm for computing the $Q R$
                 factorization of a matrix $A$ is Householder
                 triangularization. Here this idea is generalized to the
                 situation in which $A$ is a quasimatrix, that is, a
                 `matrix' whose `columns' are functions defined on an
                 interval $ [a, b] $. Applications are mentioned to
                 quasimatrix least squares fitting, singular value
                 decomposition and determination of ranks, norms and
                 condition numbers, and numerical illustrations are
                 presented using the chebfun system.",
  acknowledgement = ack-nhfb,
  fjournal =     "IMA Journal of Numerical Analysis",
  journal-URL =  "http://imajna.oxfordjournals.org/content/by/year",
  keywords =     "chebfun; Householder triangularization; Matlab; $Q R$
                 factorization; quasimatrix; singular value
                 decomposition",
  onlinedate =   "August 21, 2009",
}

@Article{Chapman:2011:FBR,
  author =       "S. J. Chapman and James Lottes and Lloyd N.
                 Trefethen",
  title =        "Four bugs on a rectangle",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "467",
  number =       "2127",
  pages =        "881--896",
  day =          "8",
  month =        mar,
  year =         "2011",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2010.0506",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "91A24 (68T99)",
  MRnumber =     "2765232 (2012a:91032)",
  bibdate =      "Tue Sep 27 19:02:07 2011",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  abstract =     "The idealized mathematical problem of four bugs in
                 cyclic pursuit starting from a 2-by-1 rectangle is
                 considered, and asymptotic formulas are derived to
                 describe the motion. In contrast to the famous case of
                 four bugs on a square, here the trajectories quickly
                 freeze to essentially one dimension. After the first
                 rotation about the centre point, the scale of the
                 configuration has shrunk by a factor of $
                 10^{427907250} $, and this number is then exponentiated
                 four more times with each successive cycle. Relations
                 to Knuth's double-arrow notation and level-index
                 arithmetic are discussed.",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society A: Mathematical,
                 Physical, \& Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  keywords =     "cyclic pursuit; Knuth arrow notation; level-index
                 arithmetic",
  onlinedate =   "November 10, 2010",
}

@Article{Gonnet:2011:RRI,
  author =       "Pedro Gonnet and Ricardo Pach{\'o}n and Lloyd N.
                 Trefethen",
  title =        "Robust rational interpolation and least-squares",
  journal =      j-ELECTRON-TRANS-NUMER-ANAL,
  volume =       "38",
  pages =        "146--167",
  year =         "2011",
  CODEN =        "????",
  ISSN =         "1068-9613 (print), 1097-4067 (electronic)",
  ISSN-L =       "1068-9613",
  MRclass =      "65D05 (41A20 41A21)",
  MRnumber =     "2871863",
  MRreviewer =   "Ana Cristina Matos",
  bibdate =      "Thu Jun 9 12:14:22 MDT 2011",
  bibsource =    "http://etna.mcs.kent.edu/;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Electronic Transactions on Numerical Analysis",
  journal-URL =  "http://etna.mcs.kent.edu/",
}

@Article{Platte:2011:IFS,
  author =       "Rodrigo B. Platte and Lloyd N. Trefethen and Arno B.
                 J. Kuijlaars",
  title =        "Impossibility of Fast Stable Approximation of Analytic
                 Functions from Equispaced Samples",
  journal =      j-SIAM-REVIEW,
  volume =       "53",
  number =       "2",
  pages =        "308--318",
  month =        "????",
  year =         "2011",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/090774707",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "41A25 (30E10 41A05 65D05)",
  MRnumber =     "2806639 (2012e:41018)",
  MRreviewer =   "Alexey L. Lukashov",
  bibdate =      "Thu Jun 9 09:27:06 MDT 2011",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SIREV/53/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  URL =          "http://epubs.siam.org/sirev/resource/1/siread/v53/i2/p308_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "May 05, 2011",
}

@Article{Richardson:2011:SFA,
  author =       "Mark Richardson and Lloyd N. Trefethen",
  title =        "A Sinc Function Analogue of {Chebfun}",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "33",
  number =       "5",
  pages =        "2519--2535",
  month =        "????",
  year =         "2011",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/110825947",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "41A30 (41-04 65D99 65Y15)",
  MRnumber =     "2861635 (2012i:41016)",
  MRreviewer =   "Masaru Kamada",
  bibdate =      "Sat Oct 15 12:30:32 MDT 2011",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/33/5;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  URL =          "http://epubs.siam.org/sisc/resource/1/sjoce3/v33/i5/p2519_s1",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "October 13, 2011",
}

@Article{Trefethen:2011:SMP,
  author =       "Lloyd N. Trefethen",
  title =        "Six myths of polynomial interpolation and quadrature",
  journal =      j-MATH-TODAY,
  volume =       "47",
  number =       "4",
  pages =        "184--188",
  year =         "2011",
  CODEN =        "????",
  ISSN =         "1361-2042",
  MRclass =      "65D05 (41A10)",
  MRnumber =     "2952622",
  bibdate =      "Fri Nov 9 17:28:33 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Mathematics Today",
  journal-URL =  "http://ima.org.uk/activities/publications/mathematics_today.cfm.html",
}

@InCollection{Trefethen:2011:TDP,
  author =       "Lloyd N. Trefethen",
  title =        "Ten digit problems",
  crossref =     "Schleicher:2011:IMC",
  pages =        "119--136",
  year =         "2011",
  DOI =          "https://doi.org/10.1007/978-3-642-19533-4_9",
  bibdate =      "Sat Mar 23 16:35:46 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://link.springer.com/chapter/10.1007/978-3-642-19533-4_9",
  acknowledgement = ack-nhfb,
}

@Book{Trefethen:2011:TIC,
  author =       "Lloyd N. Trefethen",
  title =        "{Trefethen}'s index cards: forty years of notes about
                 people, words and mathematics",
  publisher =    pub-WORLD-SCI,
  address =      pub-WORLD-SCI:adr,
  pages =        "xv + 368",
  year =         "2011",
  DOI =          "https://doi.org/10.1142/8207",
  ISBN =         "981-4360-69-4 (paperback), 981-4458-41-4 (e-book)",
  ISBN-13 =      "978-981-4360-69-2 (paperback), 978-981-4458-41-2
                 (e-book)",
  LCCN =         "????",
  bibdate =      "Fri Sep 20 08:18:13 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  URL =          "http://www.worldscientific.com/worldscibooks/10.1142/8207",
  acknowledgement = ack-nhfb,
  subject =      "Trefethen, Lloyd N; Mathematicians; Quotations;
                 Mathematics; Quotations, maxims, etc",
  tableofcontents = "Ego \\
                 Kids \\
                 Aging and Death \\
                 Sex \\
                 Living with Others \\
                 The Meaning of Life \\
                 Politics and Society \\
                 Cold War Nukes \\
                 Education \\
                 Britain \\
                 Famous People \\
                 Optimizing Your Life \\
                 The Life of the Professor \\
                 Music \\
                 Words \\
                 Writing and Literature \\
                 Memory \\
                 Misperceptions \\
                 Knowledge and Truth \\
                 Analogies \\
                 Bad Logic \\
                 God and Religion \\
                 Good and Evil \\
                 Science \\
                 Stars and Planets \\
                 Mathematics \\
                 Big Numbers \\
                 Mathematics and Science in Everyday Life \\
                 Inventions \\
                 Computers \\
                 Life and DNA \\
                 Hearts, Minds and Bodies",
}

@Article{VanDeun:2011:RIC,
  author =       "Joris {Van Deun} and Lloyd N. Trefethen",
  title =        "A robust implementation of the
                 {Carath{\'e}odory--Fej{\'e}r} method for rational
                 approximation",
  journal =      j-BIT-NUM-MATH,
  volume =       "51",
  number =       "4",
  pages =        "1039--1050",
  month =        dec,
  year =         "2011",
  CODEN =        "BITTEL, NBITAB",
  DOI =          "https://doi.org/10.1007/s10543-011-0331-7",
  ISSN =         "0006-3835 (print), 1572-9125 (electronic)",
  ISSN-L =       "0006-3835",
  bibdate =      "Tue Dec 13 11:50:53 MST 2011",
  bibsource =    "http://springerlink.metapress.com/openurl.asp?genre=issue&issn=0006-3835&volume=51&issue=4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/bit.bib",
  URL =          "http://www.springerlink.com/content/ag2514840142707r/;
                 http://www.springerlink.com/openurl.asp?genre=article&issn=0006-3835&volume=51&issue=4&spage=1039",
  abstract =     "Best rational approximations are notoriously difficult
                 to compute. However, the difference between the best
                 rational approximation to a function and its
                 Carath{\'e}odory--Fej{\'e}r (CF) approximation is often
                 so small as to be negligible in practice, while CF
                 approximations are far easier to compute. We present a
                 robust and fast implementation of this method in the
                 Chebfun software system and illustrate its use with
                 several examples. Our implementation handles both
                 polynomial and rational approximation and substantially
                 improves upon earlier published software.",
  acknowledgement = ack-nhfb,
  fjournal =     "BIT Numerical Mathematics",
  journal-URL =  "http://link.springer.com/journal/10543",
  keywords =     "Carath{\'e}odory--Fej{\'e}r approximation; Chebfun;
                 Near-best rational approximation",
  onlinedate =   "04 May 2011",
}

@Article{Hale:2012:CNQ,
  author =       "Nicholas Hale and Lloyd N. Trefethen",
  title =        "{Chebfun} and numerical quadrature",
  journal =      j-SCI-CHINA-MATH,
  volume =       "55",
  number =       "9",
  pages =        "1749--1760",
  year =         "2012",
  DOI =          "https://doi.org/10.1007/s11425-012-4474-z",
  ISSN =         "1674-7283 (print), 1869-1862 (electronic)",
  ISSN-L =       "1869-1862",
  MRclass =      "????",
  MRnumber =     "2960859",
  bibdate =      "Fri Nov 9 17:28:33 2012",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  ajournal =     "Sci. China Math.",
  fjournal =     "Science China. Mathematics",
  journal-URL =  "http://link.springer.com/journal/11425",
}

@Article{Webb:2012:SBI,
  author =       "Marcus Webb and Lloyd N. Trefethen and Pedro Gonnet",
  title =        "Stability of barycentric interpolation formulas for
                 extrapolation",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "34",
  number =       "6",
  pages =        "A3009--A3015",
  year =         "2012",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/110848797",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65D05 (41A20)",
  MRnumber =     "3029839",
  bibdate =      "Mon Jul 15 10:52:44 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
}

@Article{Gonnet:2013:RPA,
  author =       "Pedro Gonnet and Stefan G{\"u}ttel and Lloyd N.
                 Trefethen",
  title =        "Robust {Pad{\'e}} Approximation via {SVD}",
  journal =      j-SIAM-REVIEW,
  volume =       "55",
  number =       "1",
  pages =        "101--117",
  month =        "????",
  year =         "2013",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/110853236",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65F15 (41A21)",
  MRnumber =     "3089442",
  bibdate =      "Thu Mar 7 09:46:22 MST 2013",
  bibsource =    "http://epubs.siam.org/toc/siread/55/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2013",
}

@Article{Townsend:2013:ECT,
  author =       "Alex Townsend and Lloyd N. Trefethen",
  title =        "An Extension of {Chebfun} to Two Dimensions",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "35",
  number =       "6",
  pages =        "C495--C518",
  month =        "????",
  year =         "2013",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/130908002",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRnumber =     "3138114",
  bibdate =      "Tue Feb 11 14:37:53 MST 2014",
  bibsource =    "http://epubs.siam.org/sam-bin/dbq/toc/SISC/35/6;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc/",
  onlinedate =   "January 2013",
}

@Book{Trefethen:2013:ATA,
  author =       "Lloyd N. Trefethen",
  title =        "Approximation Theory and Approximation Practice",
  publisher =    pub-SIAM,
  address =      pub-SIAM:adr,
  pages =        "viii + 305",
  year =         "2013",
  ISBN =         "1-61197-239-6 (paperback)",
  ISBN-13 =      "978-1-61197-239-9 (paperback)",
  LCCN =         "QA221 .T73 2013",
  MRclass =      "41-01 (41-04 65-06)",
  MRnumber =     "3012510",
  MRreviewer =   "Ana Cristina Matos",
  bibdate =      "Fri Jun 21 15:10:57 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/numana2010.bib",
  acknowledgement = ack-nhfb,
  tableofcontents = "1. Introduction \\
                 2. Chebyshev Points and Interpolants \\
                 3. Chebyshev Polynomials and Series \\
                 4. Interpolants, Projections, and Aliasing \\
                 5. Barycentric Interpolation Formula \\
                 6. Weierstrass Approximation Theorem \\
                 7. Convergence for Differentiable Functions \\
                 8. Convergence for Analytic Functions \\
                 9. Gibbs Phenomenon \\
                 10. Best Approximation \\
                 11. Hermite Integral Formula \\
                 12. Potential Theory and Approximation \\
                 13. Equispaced Points, Runge Phenomenon \\
                 14. Discussion of High-Order Interpolation \\
                 15. Lebesgue Constants \\
                 16. Best and Near-Best \\
                 17. Orthogonal Polynomials \\
                 18. Polynomial Roots and Colleague Matrices \\
                 19. Clenshaw--Curtis and Gauss Quadrature \\
                 20. Carath{\'e}odory--Fej{\'e}r Approximation \\
                 21. Spectral Methods \\
                 22. Linear Approximation: Beyond Polynomials \\
                 23. Nonlinear Approximation: Why Rational Functions \\
                 24. Rational Best Approximation \\
                 25. Two Famous Problems \\
                 26. Rational Interpolation and Linearized Least-Squares
                 \\
                 27. Pad{\'e} Approximation \\
                 28. Analytic Continuation and Convergence Acceleration
                 \\
                 Appendix: Six Myths of Polynomial Interpolation and
                 Quadrature \\
                 References \\
                 Index",
}

@Article{Trefethen:2013:VCF,
  author =       "Lloyd N. Trefethen",
  title =        "Book Review: {{\booktitle{Visual complex functions: an
                 introduction with phase portraits}}, by Elias Wegert.
                 Birkh{\"a}user\slash Springer Basel AG, Basel, 2012.
                 \$59.95. xiv + 360 pp., softcover. ISBN
                 978-3-0348-0179-9}",
  journal =      j-SIAM-REVIEW,
  volume =       "55",
  number =       "4",
  pages =        "791--797",
  year =         "2013",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/130973533",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "00A17",
  MRnumber =     "3136803",
  bibdate =      "Mon Sep 15 06:37:56 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  remark =       "Book review of MR3024399.",
}

@InCollection{Trefethen:2013:ZPG,
  author =       "Lloyd N. Trefethen",
  title =        "{Zehnstellige Probleme}. ({German}) [{Ten}-digit
                 problems]",
  crossref =     "Schleicher:2013:EME",
  pages =        "121--140",
  year =         "2013",
  bibdate =      "Thu Mar 23 07:27:57 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  language =     "German",
}

@Article{Austin:2014:NAB,
  author =       "Anthony P. Austin and Peter Kravanja and Lloyd N.
                 Trefethen",
  title =        "Numerical Algorithms Based on Analytic Function Values
                 at Roots of Unity",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "52",
  number =       "4",
  pages =        "1795--1821",
  month =        "????",
  year =         "2014",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/130931035",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  MRclass =      "65E05 (41A10 41A20 65D05)",
  MRnumber =     "3240851",
  MRreviewer =   "Ana Cristina Matos",
  bibdate =      "Sat Sep 13 09:22:34 MDT 2014",
  bibsource =    "http://epubs.siam.org/http://epubs.siam.org/toc/sjnaam/52/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  onlinedate =   "January 2014",
}

@Article{Javed:2014:TRE,
  author =       "Mohsin Javed and Lloyd N. Trefethen",
  title =        "A trapezoidal rule error bound unifying the
                 {Euler--Maclaurin} formula and geometric convergence
                 for periodic functions",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-ENG-SCI,
  volume =       "470",
  number =       "2161",
  pages =        "20130571",
  year =         "2014",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2013.0571",
  ISSN =         "1364-5021 (print), 1471-2946 (electronic)",
  ISSN-L =       "1364-5021",
  MRclass =      "65D30",
  MRnumber =     "3145072",
  bibdate =      "Mon Sep 15 06:42:59 2014",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of The Royal Society of London. Series A.
                 Mathematical, Physical and Engineering Sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/",
  pagecount =    "9",
}

@Article{Trefethen:2014:ECT,
  author =       "Lloyd N. Trefethen and J. A. C. Weideman",
  title =        "The Exponentially Convergent Trapezoidal Rule",
  journal =      j-SIAM-REVIEW,
  volume =       "56",
  number =       "3",
  pages =        "385--458",
  month =        "????",
  year =         "2014",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/130932132",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65D30",
  MRnumber =     "3245858",
  MRreviewer =   "G. A. Evans",
  bibdate =      "Sat Sep 13 08:20:41 MDT 2014",
  bibsource =    "http://epubs.siam.org/toc/siread/56/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2014",
}

@Article{Austin:2015:CER,
  author =       "Anthony P. Austin and Lloyd N. Trefethen",
  title =        "Computing Eigenvalues of Real Symmetric Matrices with
                 Rational Filters in Real Arithmetic",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "37",
  number =       "3",
  pages =        "A1365--A1387",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/140984129",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "65F15 (15B48 41A20)",
  MRnumber =     "3352612",
  MRreviewer =   "Hanif Mirzaei",
  bibdate =      "Sat Aug 8 06:48:44 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/37/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  ZMnumber =     "1328.15016",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2015",
}

@Article{Chapman:2015:MFC,
  author =       "S. Jonathan Chapman and David P. Hewett and Lloyd N.
                 Trefethen",
  title =        "Mathematics of the {Faraday} Cage",
  journal =      j-SIAM-REVIEW,
  volume =       "57",
  number =       "3",
  pages =        "398--417",
  month =        "????",
  year =         "2015",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/140984452",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "31A35 (78A30)",
  MRnumber =     "3376763",
  bibdate =      "Sat Aug 8 06:17:25 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/siread/57/3;
                 http://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  ZMnumber =     "1339.31001",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  keywords =     "Faraday cage; harmonic function; homogenization;
                 Matlab; screening; shielding",
  onlinedate =   "January 2015",
  remark =       "From page 299: ``One of the few mathematical
                 treatments [of the Faraday cage] we have found is in
                 section 7-5 of Vol. 2 of \booktitle{The Feynman
                 Lectures on Physics} [11], where so far as we can tell,
                 the analysis is incorrect. Feynman considers equal
                 charges rather than equal potentials, his wires are of
                 infinitesimal radius, there is no wavelength or indeed
                 external field in his discussion, and the strength of
                 the effect is predicted to be exponential.''",
}

@Article{Townsend:2015:CAM,
  author =       "A. Townsend and L. N. Trefethen",
  title =        "Continuous analogues of matrix factorizations",
  journal =      j-PROC-R-SOC-LOND-SER-A-MATH-PHYS-SCI,
  volume =       "471",
  number =       "2173",
  pages =        "20140585",
  day =          "8",
  month =        jan,
  year =         "2015",
  CODEN =        "PRLAAZ",
  DOI =          "https://doi.org/10.1098/rspa.2014.0585",
  ISSN =         "0080-4630",
  MRclass =      "65F05 (15A23 65F20)",
  MRnumber =     "3285359",
  MRreviewer =   "Jos{\'e}-Javier Mart{\'{\i}}nez",
  bibdate =      "Thu Oct 01 11:09:18 2015",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://rspa.royalsocietypublishing.org/content/471/2173/20140585",
  acknowledgement = ack-nhfb,
  fjournal =     "Proceedings of the Royal Society of London. Series A,
                 Mathematical and physical sciences",
  journal-URL =  "http://rspa.royalsocietypublishing.org/content/current",
  pagecount =    "21",
}

@Article{Trefethen:2015:CNF,
  author =       "Lloyd N. Trefethen",
  title =        "Computing numerically with functions instead of
                 numbers",
  journal =      j-CACM,
  volume =       "58",
  number =       "10",
  pages =        "91--97",
  month =        oct,
  year =         "2015",
  CODEN =        "CACMA2",
  DOI =          "https://doi.org/10.1145/2814847",
  ISSN =         "0001-0782 (print), 1557-7317 (electronic)",
  ISSN-L =       "0001-0782",
  bibdate =      "Wed Sep 30 07:29:42 MDT 2015",
  bibsource =    "http://www.acm.org/pubs/contents/journals/cacm/;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/cacm2010.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib",
  URL =          "http://cacm.acm.org/magazines/2015/10/192390/fulltext",
  abstract =     "Science and engineering depend upon computation of
                 functions such as flow fields, charge distributions,
                 and quantum states. Ultimately, such computations
                 require some kind of discretization, but in recent
                 years, it has become possible in many cases to hide the
                 discretizations from the user. We present the Chebfun
                 system for numerical computation with functions, which
                 is based on a key idea: an analogy of floating-point
                 arithmetic for functions rather than numbers.",
  acknowledgement = ack-nhfb,
  fjournal =     "Communications of the ACM",
  journal-URL =  "http://portal.acm.org/browse_dl.cfm?idx=J79",
  keywords =     "Chebfun; Chebyshev approximation; floating-point
                 arithmetic; Matlab; rational arithmetic; symbolic
                 algebra",
}

@Article{Trefethen:2015:PCA,
  author =       "Lloyd N. Trefethen",
  title =        "The {Princeton} companion to applied mathematics [book
                 review of {MR3380576}]]",
  journal =      j-SIAM-REVIEW,
  volume =       "57",
  number =       "3",
  pages =        "469--473",
  year =         "2015",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/15N973927",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "00A17 00-01 00A05 00A06 00A69 00A71 00A79 65-00 70-00
                 74-00 76-00 80-00 90-00 91-00 92-00 93-00 94-00",
  MRnumber =     "3408007",
  bibdate =      "Wed Mar 22 19:22:59 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  ZMnumber =     "1336.00088",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

@Article{Wright:2015:ECP,
  author =       "Grady B. Wright and Mohsin Javed and Hadrien
                 Montanelli and Lloyd N. Trefethen",
  title =        "Extension of {Chebfun} to Periodic Functions",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "37",
  number =       "5",
  pages =        "C554--C573",
  month =        "????",
  year =         "2015",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/141001007",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  MRclass =      "42A10 (42A15 65T40 65Y15)",
  MRnumber =     "3414471",
  MRreviewer =   "Alexandru Ioan Mitrea",
  bibdate =      "Sat Oct 31 07:53:41 MDT 2015",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/37/5;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  ZMnumber =     "1348.42003",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2015",
  remark =       "Special Section: 2014 Copper Mountain Conference",
}

@Article{Javed:2016:EMG,
  author =       "Mohsin Javed and Lloyd N. Trefethen",
  title =        "{Euler--Maclaurin} and {Gregory} interpolants",
  journal =      j-NUM-MATH,
  volume =       "132",
  number =       "1",
  pages =        "201--216",
  month =        jan,
  year =         "2016",
  CODEN =        "NUMMA7",
  DOI =          "https://doi.org/10.1007/s00211-015-0713-x",
  ISSN =         "0029-599X (print), 0945-3245 (electronic)",
  ISSN-L =       "0029-599X",
  MRclass =      "65D05 (41A05 42A15 65D32 65T40)",
  MRnumber =     "3439220",
  MRreviewer =   "Mircea Ivan",
  bibdate =      "Mon Jan 25 07:56:51 MST 2016",
  bibsource =    "http://link.springer.com/journal/211/132/1;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/nummath2010.bib",
  URL =          "http://link.springer.com/article/10.1007/s00211-015-0713-x",
  ZMnumber =     "1334.41002",
  acknowledgement = ack-nhfb,
  fjournal =     "Numerische Mathematik",
  journal-URL =  "http://link.springer.com/journal/211",
}

@Article{Trefethen:2016:IY,
  author =       "Lloyd N. Trefethen",
  title =        "Inverse {Yogiisms}",
  journal =      j-NAMS,
  volume =       "63",
  number =       "11",
  pages =        "1281--1285",
  year =         "2016",
  CODEN =        "AMNOAN",
  DOI =          "https://doi.org/10.1090/noti1446",
  ISSN =         "0002-9920 (print), 1088-9477 (electronic)",
  ISSN-L =       "0002-9920",
  MRclass =      "00A35 01A80",
  MRnumber =     "3585636",
  MRreviewer =   "John H. Mason",
  bibdate =      "Wed Mar 22 19:24:14 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "1352.01065",
  acknowledgement = ack-nhfb,
  fjournal =     "Notices of the American Mathematical Society",
  journal-URL =  "http://www.ams.org/notices/",
}

@Article{Trefethen:2016:SFC,
  author =       "Lloyd N. Trefethen",
  title =        "Surprises of the {Faraday} Cage",
  journal =      j-SIAM-NEWS,
  volume =       "49",
  number =       "6",
  pages =        "??--??",
  month =        jul # "\slash " # aug,
  year =         "2016",
  ISSN =         "0036-1437",
  ISSN-L =       "0036-1437",
  bibdate =      "Fri Sep 30 12:14:33 2016",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/f/feynman-richard-p.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "https://sinews.siam.org/DetailsPage/TabId/900/ArtMID/2243/ArticleID/757/Surprises-of-the-Faraday-Cage.aspx",
  acknowledgement = ack-nhfb,
  keywords =     "Michael Faraday; Richard P. Feynman",
}

@Article{Aurentz:2017:BOS,
  author =       "Jared L. Aurentz and Lloyd N. Trefethen",
  title =        "Block Operators and Spectral Discretizations",
  journal =      j-SIAM-REVIEW,
  volume =       "59",
  number =       "2",
  pages =        "423--446",
  month =        "????",
  year =         "2017",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/16M1065975",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "65Fxx",
  MRnumber =     "3646500",
  bibdate =      "Fri Aug 25 10:08:13 MDT 2017",
  bibsource =    "http://epubs.siam.org/toc/siread/59/2;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2017",
}

@Article{Aurentz:2017:CCS,
  author =       "Jared L. Aurentz and Lloyd N. Trefethen",
  title =        "Chopping a {Chebyshev} Series",
  journal =      j-TOMS,
  volume =       "43",
  number =       "4",
  pages =        "33:1--33:21",
  month =        mar,
  year =         "2017",
  CODEN =        "ACMSCU",
  DOI =          "https://doi.org/10.1145/2998442",
  ISSN =         "0098-3500 (print), 1557-7295 (electronic)",
  ISSN-L =       "0098-3500",
  MRclass =      "65G50 (65Y04)",
  MRnumber =     "3638570",
  bibdate =      "Fri Mar 24 08:51:05 MDT 2017",
  bibsource =    "http://www.acm.org/pubs/contents/journals/toms/;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/mathcw.bib;
                 http://www.math.utah.edu/pub/tex/bib/matlab.bib;
                 http://www.math.utah.edu/pub/tex/bib/toms.bib",
  abstract =     "Chebfun and related software projects for numerical
                 computing with functions are based on the idea that at
                 each step of a computation, a function $ f(x) $ defined
                 on an interval $ [a, b] $ is ``rounded'' to a
                 prescribed precision by constructing a Chebyshev series
                 and chopping it at an appropriate point. Designing a
                 chopping algorithm with the right properties proves to
                 be a surprisingly complex and interesting problem. We
                 describe the chopping algorithm introduced in Chebfun
                 Version 5.3 in 2015 after many years of discussion and
                 the considerations that led to this design.",
  acknowledgement = ack-nhfb,
  articleno =    "33",
  fjournal =     "ACM Transactions on Mathematical Software (TOMS)",
  journal-URL =  "http://dl.acm.org/pub.cfm?id=J782",
}

@Article{Austin:2017:TIQ,
  author =       "Anthony P. Austin and Lloyd N. Trefethen",
  title =        "Trigonometric Interpolation and Quadrature in
                 Perturbed Points",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "55",
  number =       "5",
  pages =        "2113--2122",
  month =        "????",
  year =         "2017",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/16M1107760",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Jan 12 06:50:43 MST 2018",
  bibsource =    "http://epubs.siam.org/http://epubs.siam.org/toc/sjnaam/55/5;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  onlinedate =   "January 2017",
}

@Article{Hashemi:2017:CTD,
  author =       "Behnam Hashemi and Lloyd N. Trefethen",
  title =        "{Chebfun} in Three Dimensions",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "39",
  number =       "5",
  pages =        "C341--C363",
  month =        "????",
  year =         "2017",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/16M1083803",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Fri Jan 12 07:30:22 MST 2018",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/39/5;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2017",
}

@Article{Trefethen:2017:CAI,
  author =       "Lloyd N. Trefethen",
  title =        "Cubature, Approximation, and Isotropy in the
                 Hypercube",
  journal =      j-SIAM-REVIEW,
  volume =       "59",
  number =       "3",
  pages =        "469--491",
  month =        "????",
  year =         "2017",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/16M1066312",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRclass =      "41A63 (65C05 65D30 65Y20)",
  MRnumber =     "3683677",
  bibdate =      "Fri Aug 25 10:08:16 MDT 2017",
  bibsource =    "http://epubs.siam.org/toc/siread/59/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamreview.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
  onlinedate =   "January 2017",
}

@Article{Filip:2018:RMA,
  author =       "Silviu-Ioan Filip and Yuji Nakatsukasa and Lloyd N.
                 Trefethen and Bernhard Beckermann",
  title =        "Rational Minimax Approximation via Adaptive
                 Barycentric Representations",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "40",
  number =       "4",
  pages =        "A2427--A2455",
  month =        "????",
  year =         "2018",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/17M1132409",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Nov 7 09:01:35 MST 2018",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/40/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  onlinedate =   "January 2018",
}

@Article{Nakatsukasa:2018:AAR,
  author =       "Yuji Nakatsukasa and Olivier S{\`e}te and Lloyd N.
                 Trefethen",
  title =        "The {AAA} Algorithm for Rational Approximation",
  journal =      j-SIAM-J-SCI-COMP,
  volume =       "40",
  number =       "3",
  pages =        "A1494--A1522",
  month =        "????",
  year =         "2018",
  CODEN =        "SJOCE3",
  DOI =          "https://doi.org/10.1137/16M1106122",
  ISSN =         "1064-8275 (print), 1095-7197 (electronic)",
  ISSN-L =       "1064-8275",
  bibdate =      "Wed Nov 7 09:01:32 MST 2018",
  bibsource =    "http://epubs.siam.org/toc/sjoce3/40/3;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjscicomput.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Scientific Computing",
  journal-URL =  "http://epubs.siam.org/sisc",
  keywords =     "Adaptive Antoulas--Anderson (AAA) algorithm",
  onlinedate =   "January 2018",
}

%%% ====================================================================
%%%  Part 2 (of 2): Publications about Lloyd N. Trefethen and his works
%%%
%%% Bibliography entries, sorted by year and then by citation label:
@Article{Area:2016:ACS,
  author =       "Iv{\'a}n Area and Dimitar K. Dimitrov and Eduardo
                 Godoy and Vanessa G. Paschoa",
  title =        "Approximate Calculation of Sums {II}: {Gaussian} Type
                 Quadrature",
  journal =      j-SIAM-J-NUMER-ANAL,
  volume =       "54",
  number =       "4",
  pages =        "2210--2227",
  month =        "????",
  year =         "2016",
  CODEN =        "SJNAAM",
  DOI =          "https://doi.org/10.1137/140993752",
  ISSN =         "0036-1429 (print), 1095-7170 (electronic)",
  ISSN-L =       "0036-1429",
  bibdate =      "Fri Sep 23 11:00:53 MDT 2016",
  bibsource =    "http://epubs.siam.org/http://epubs.siam.org/toc/sjnaam/54/4;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/fparith.bib;
                 http://www.math.utah.edu/pub/tex/bib/siamjnumeranal2010.bib",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Journal on Numerical Analysis",
  journal-URL =  "http://epubs.siam.org/sinum",
  keywords =     "Chebfun",
  onlinedate =   "January 2016",
}

@Article{Corless:2016:BRT,
  author =       "Robert M. {Corless}",
  title =        "Book review of: {L. N. Trefethen,
                 \booktitle{Approximation theory and approximation
                 practice}}",
  journal =      j-SIAM-REVIEW,
  volume =       "58",
  number =       "1",
  pages =        "159--163",
  year =         "2016",
  CODEN =        "SIREAD",
  DOI =          "https://doi.org/10.1137/16N974048",
  ISSN =         "0036-1445 (print), 1095-7200 (electronic)",
  ISSN-L =       "0036-1445",
  MRnumber =     "00A17 41-01 41-04 41Axx 65Dxx",
  bibdate =      "Thu Mar 23 06:41:59 2017",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  ZMnumber =     "1336.00019",
  acknowledgement = ack-nhfb,
  fjournal =     "SIAM Review",
  journal-URL =  "http://epubs.siam.org/sirev",
}

%%% <at>misc{lnt04
%%% ,author="Lloyd N. Trefethen"
%%% ,title={Finite Difference and Spectral Methods}
%%% ,note={Graduate textbook in preparation; completion expected in 1996}
%%% }
%%% ====================================================================
%%% Cross-referenced entries must come last:
@Proceedings{Anonymous:1980:PAN,
  editor =       "Anonymous",
  booktitle =    "{Proceedings of the 1980 Army Numerical Analysis and
                 Computers Conference, Moffett Field, California,
                 February 20--21, 1980}",
  title =        "{Proceedings of the 1980 Army Numerical Analysis and
                 Computers Conference, Moffett Field, California,
                 February 20--21, 1980}",
  publisher =    pub-US-ARO,
  address =      pub-US-ARO:adr,
  pages =        "????",
  year =         "1980",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jan 03 14:03:41 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "Six microfiches.",
  series =       "ARO Rep. 80",
  acknowledgement = ack-nhfb,
}

@Proceedings{Butzer:1981:BCI,
  editor =       "Paul Leo Butzer and F. (Franziska) Feh{\'e}r",
  booktitle =    "{E. B. Christoffel}, the influence of his work on
                 mathematics and the physical sciences",
  title =        "{E. B. Christoffel}, the influence of his work on
                 mathematics and the physical sciences",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "xxiv + 761",
  year =         "1981",
  ISBN =         "3-7643-1162-2",
  ISBN-13 =      "978-3-7643-1162-9",
  LCCN =         "QA7 I57 1981; QA 7 .I57 1981; QA76 .I556 1981",
  bibdate =      "Tue Jan 3 12:47:30 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 sirsi.library.utoronto.ca:2200/UNICORN",
  acknowledgement = ack-nhfb,
  meetingname =  "International Christoffel Symposium in Honour of
                 Christoffel on the 150th Anniversary of His Birth
                 (1979: Aachen, Germany, and Monschau, Germany)",
  remark =       "In English, French, German, and Italian. Contains
                 expanded versions of the twelve invited lectures given
                 at the International Christoffel Symposium, held on
                 November 8--11, 1979 at Achen and Monschau.",
  subject =      "Christoffel, Edwin Bruno; Mathematics; Science",
  subject-dates = "1829--1900",
}

@Proceedings{Collatz:1982:WNM,
  editor =       "L. (Lothar) Collatz and G{\"u}nther Meinardus and H.
                 (Helmut) Werner",
  booktitle =    "{Workshop on Numerical Methods of Approximation
                 Theory, Oberwolfach, January 18--24, 1981 = Tagung
                 {\"u}ber Numerische Methoden der Approximationstheorie,
                 Oberwolfach, 18.--24. Januar 1981}",
  title =        "{Workshop on Numerical Methods of Approximation
                 Theory, Oberwolfach, January 18--24, 1981 = Tagung
                 {\"u}ber Numerische Methoden der Approximationstheorie,
                 Oberwolfach, 18.--24. Januar 1981}",
  volume =       "59",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "265",
  year =         "1982",
  ISBN =         "3-7643-1304-8",
  ISBN-13 =      "978-3-7643-1304-3",
  LCCN =         "QA221 .T129n 1981; QA297.5 .N85",
  bibdate =      "Tue Jan 3 14:12:53 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Numerical methods of approximation theory;
                 International series of numerical mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Tagung {\"u}ber Numerische Methoden der
                 Approximationstheorie (1981: Oberwolfach, Germany)",
  remark =       "English and German.",
  subject =      "Approximation theory; Congresses",
}

@Proceedings{Chui:1983:ATI,
  editor =       "C. K. Chui and Larry L. Schumaker and J. D. Ward",
  booktitle =    "{Approximation theory IV: proceedings of the
                 International Symposium on Approximation Theory held at
                 Texas A and M University, College Station, Texas, on
                 January 10--14, 1983}",
  title =        "{Approximation theory IV: proceedings of the
                 International Symposium on Approximation Theory held at
                 Texas A and M University, College Station, Texas, on
                 January 10--14, 1983}",
  publisher =    pub-AP,
  address =      pub-AP:adr,
  pages =        "xvii + 785",
  year =         "1983",
  ISBN =         "0-12-174580-5",
  ISBN-13 =      "978-0-12-174580-6",
  LCCN =         "QA297.5 .I54 1983",
  bibdate =      "Tue Jan 3 14:06:42 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Approximation Theory (1983:
                 Texas A and M University)",
  subject =      "Approximation theory; Congresses",
}

@Proceedings{Werner:1983:CAC,
  editor =       "H. (Helmut) Werner and others",
  booktitle =    "{Computational aspects of complex analysis:
                 proceedings of the NATO Advanced Study Institute held
                 at Braunlage, Harz, Germany, July 26--August 6, 1982}",
  title =        "{Computational aspects of complex analysis:
                 proceedings of the NATO Advanced Study Institute held
                 at Braunlage, Harz, Germany, July 26--August 6, 1982}",
  volume =       "102",
  publisher =    pub-REIDEL,
  address =      pub-REIDEL:adr,
  pages =        "viii + 426",
  year =         "1983",
  ISBN =         "90-277-1571-8",
  ISBN-13 =      "978-90-277-1571-5",
  LCCN =         "QA300 .N29 1982",
  bibdate =      "Tue Jan 3 12:47:45 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "NATO advanced study institutes series. Series C,
                 Mathematical and physical sciences",
  acknowledgement = ack-nhfb,
  meetingname =  "NATO Advanced Study Institute (1982: Braunlage,
                 Germany)",
  subject =      "Mathematical analysis; Data processing; Congresses;
                 Functions of complex variables",
}

@Proceedings{Collatz:1984:WNM,
  editor =       "L. (Lothar) Collatz and G{\"u}nther Meinardus and H.
                 (Helmut) Werner",
  booktitle =    "{Workshop on Numerical Methods of Approximation
                 Theory, Oberwolfach, March 20--26, 1983 = Tagung
                 {\"u}ber Numerische Methoden der Approximationstheorie,
                 Oberwolfach, 20.-26. M{\"a}rz 1983}",
  title =        "{Workshop on Numerical Methods of Approximation
                 Theory, Oberwolfach, March 20--26, 1983 = Tagung
                 {\"u}ber Numerische Methoden der Approximationstheorie,
                 Oberwolfach, 20.-26. M{\"a}rz 1983}",
  volume =       "67",
  publisher =    pub-BIRKHAUSER,
  address =      pub-BIRKHAUSER:adr,
  pages =        "148",
  year =         "1984",
  ISBN =         "3-7643-1580-6",
  ISBN-13 =      "978-3-7643-1580-1",
  LCCN =         "QA221 .T129n 1983",
  bibdate =      "Tue Jan 3 14:00:06 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Numerical methods of approximation theory;
                 International series of numerical mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Tagung {\"u}ber Numerische Methoden der
                 Approximationstheorie (1983: Oberwolfach, Germany)",
  remark =       "English and German.",
  subject =      "Approximation theory; Congresses",
}

@Proceedings{Graves-Morris:1984:RAI,
  editor =       "P. R. Graves-Morris and E. B. Saff and Richard S.
                 Varga",
  booktitle =    "{Rational approximation and interpolation: proceedings
                 of the United Kingdom--United States conference held at
                 Tampa, Florida, December 12--16, 1983}",
  title =        "{Rational approximation and interpolation: proceedings
                 of the United Kingdom--United States conference held at
                 Tampa, Florida, December 12--16, 1983}",
  volume =       "1105",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xii + 528",
  year =         "1984",
  ISBN =         "0-387-13899-4 (U.S.)",
  ISBN-13 =      "978-0-387-13899-2 (U.S.)",
  LCCN =         "QA3 .L28 no. 1105; QA297",
  bibdate =      "Tue Jan 3 14:15:32 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "DM72.00",
  series =       ser-LNM,
  acknowledgement = ack-nhfb,
  remark =       "Conference on Rational Approximation and
                 Interpolation, held 12/12--16/83 in Tampa, Fla., and
                 sponsored by the U.S. National Science Foundation and
                 the U.K. Science and Engineering Research Council.",
  subject =      "Approximation theory; Congresses; Interpolation",
}

@Proceedings{Vichnevetsky:1984:ACM,
  editor =       "R. Vichnevetsky and R. S. Stepleman",
  booktitle =    "{Advances in computer methods for partial differential
                 equations V: proceedings of the Fifth IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations held at Lehigh University ---
                 Bethlehem, Pennsylvania, USA., June 19--21, 1984}",
  title =        "{Advances in computer methods for partial differential
                 equations V: proceedings of the Fifth IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations held at Lehigh University ---
                 Bethlehem, Pennsylvania, USA., June 19--21, 1984}",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  pages =        "558",
  year =         "1984",
  ISBN =         "????",
  ISBN-13 =      "????",
  LCCN =         "????",
  bibdate =      "Tue Jan 03 14:09:58 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Proceedings{Vichnevetsky:1984:IFD,
  editor =       "R. Vichnevetsky and R. Stepleman",
  booktitle =    "Advances in computer methods for partial differential
                 equations-V: proceedings of the fifth IMACS
                 International Symposium on Computer Methods for Partial
                 Differential Equations, held at Lehigh University,
                 Bethlehem, Pennsylvania, USA, June 19--June 21, 1984",
  title =        "Advances in computer methods for partial differential
                 equations-{V}: proceedings of the fifth {IMACS}
                 International Symposium on Computer Methods for Partial
                 Differential Equations, held at Lehigh University,
                 Bethlehem, Pennsylvania, {USA}, June 19--June 21,
                 1984",
  publisher =    pub-IMACS,
  address =      pub-IMACS:adr,
  pages =        "558",
  year =         "1984",
  ISBN =         "",
  ISBN-13 =      "",
  LCCN =         "QA377.I2 1984",
  bibdate =      "Wed Jan 07 16:40:54 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  acknowledgement = ack-nhfb,
}

@Article{Duffy:1985:PSS,
  author =       "L. Richard Duffy and Detlef Laugwitz",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6460",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "9",
  pages =        "671--671",
  month =        nov,
  year =         "1985",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:07 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See also \cite{Duffy:1984:PSA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Proceedings{Engquist:1985:LSC,
  editor =       "Bj{\"o}rn Engquist and Stanley Osher and Richard
                 Somerville",
  title =        "Large-scale computations in fluid mechanics",
  volume =       "22",
  publisher =    pub-AMS,
  address =      pub-AMS:adr,
  pages =        "xv + 370",
  year =         "1985",
  ISBN =         "0-8218-1122-3",
  ISBN-13 =      "978-0-8218-1122-1",
  LCCN =         "QA901 .L37 1985",
  bibdate =      "Tue Jan 3 14:18:30 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Lectures in applied mathematics",
  acknowledgement = ack-nhfb,
  remark =       "Papers presented at the Fifteenth AMS--SIAM Summer
                 Seminar on Applied Mathematics, held at Scripps
                 Institution of Oceanography, June 27--July 8, 1983.",
  subject =      "Fluid mechanics; Congresses; Numerical analysis",
}

@Article{LeVeque:1985:PSS,
  author =       "J. LeVeque and Lloyd N. Trefethen and James C. Smith",
  title =        "Problems and Solutions: Solutions of Advanced
                 Problems: 6462",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "10",
  pages =        "740--741",
  month =        dec,
  year =         "1985",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:09 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See also \cite{Duffy:1984:PSA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Article{Mattics:1985:APS,
  author =       "L. E. Mattics and Harald Niederreiter",
  title =        "Advanced Problems and Solutions: Solutions: 6461",
  journal =      j-AMER-MATH-MONTHLY,
  volume =       "92",
  number =       "9",
  pages =        "672--672",
  month =        nov,
  year =         "1985",
  CODEN =        "AMMYAE",
  ISSN =         "0002-9890 (print), 1930-0972 (electronic)",
  ISSN-L =       "0002-9890",
  bibdate =      "Mon Jun 28 12:38:07 MDT 1999",
  bibsource =    "http://www.jstor.org/journals/00029890.htm;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  note =         "See also \cite{Duffy:1984:PSA}.",
  acknowledgement = ack-nhfb,
  fjournal =     "American Mathematical Monthly",
  journal-URL =  "http://www.jstor.org/page/journal/amermathmont/about.html",
}

@Proceedings{Chui:1986:ATV,
  editor =       "C. K. Chui and Larry L. Schumaker and J. D. Ward",
  booktitle =    "{Approximation theory V}",
  title =        "{Approximation theory V}",
  publisher =    pub-AP,
  address =      pub-AP:adr,
  pages =        "xviii + 654",
  year =         "1986",
  ISBN =         "0-12-174581-3",
  ISBN-13 =      "978-0-12-174581-3",
  LCCN =         "QA221 .S92 1986; QA221.S92",
  bibdate =      "Tue Jan 3 14:22:17 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 library.mit.edu:9909/mit01",
  note =         "Proceedings of the Fifth International Symposium on
                 Approximation Theory, held at Texas A and M University
                 on January 13--17, 1986.",
  acknowledgement = ack-nhfb,
  meetingname =  "International Symposium on Approximation Theory (5th:
                 1986: Texas A and M University)",
  subject =      "Approximation theory; Congresses",
}

@Proceedings{Griffiths:1986:NA,
  editor =       "D. F. (David Francis) Griffiths and G. A. (G.
                 Alistair) Watson",
  booktitle =    "Numerical analysis",
  title =        "Numerical analysis",
  volume =       "140",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "262",
  year =         "1986",
  ISBN =         "0-470-20669-1, 0-582-98897-7",
  ISBN-13 =      "978-0-470-20669-0, 978-0-582-98897-2",
  LCCN =         "QA297 .N8251 1986",
  bibdate =      "Tue Jan 3 14:22:04 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 library.ox.ac.uk:210/ADVANCE",
  note =         "The 11th Dundee Biennial Conference on Numerical
                 Analysis, held at the University of Dundee on 25--28
                 June 1985.",
  series =       "Pitman Research Notes in Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Dundee Conference on Numerical Analysis (11th: 1985)",
  subject =      "Numerical analysis; Congresses",
}

@Proceedings{Mason:1987:AAB,
  editor =       "J. C. Mason and M. G. Cox",
  booktitle =    "{Algorithms for approximation: based on the
                 proceedings of the IMA Conference on Algorithms for the
                 Approximation of Functions and Data, held at the Royal
                 Military College of Science, Shrivenham, July 1985}",
  title =        "{Algorithms for approximation: based on the
                 proceedings of the IMA Conference on Algorithms for the
                 Approximation of Functions and Data, held at the Royal
                 Military College of Science, Shrivenham, July 1985}",
  volume =       "10",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xvi + 694 + 8",
  year =         "1987",
  ISBN =         "0-19-853612-7",
  ISBN-13 =      "978-0-19-853612-3",
  LCCN =         "QA221 .I47 1985",
  bibdate =      "Tue Jan 3 12:20:10 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$90.00",
  series =       "The Institute of Mathematics and Its Applications
                 conference, new series",
  acknowledgement = ack-nhfb,
  meetingname =  "IMA Conference on Algorithms for the Approximation of
                 Functions and Data (1985: Royal Military College of
                 Science, Shrivenham)",
  subject =      "Approximation theory; Data processing; Congresses",
}

@Proceedings{Morton:1988:NMF,
  editor =       "K. W. Morton and M. J. (Michael John) Baines",
  booktitle =    "{Numerical methods for fluid dynamics III: based on
                 the proceedings of a conference organized by the
                 Institute for Computational Fluid Dynamics of the
                 Universities of Oxford and Reading in association with
                 the Institute of Mathematics and [its] Applications on
                 numerical methods for fluid dynamics, held in Oxford in
                 March 1988}",
  title =        "{Numerical methods for fluid dynamics III: based on
                 the proceedings of a conference organized by the
                 Institute for Computational Fluid Dynamics of the
                 Universities of Oxford and Reading in association with
                 the Institute of Mathematics and [its] Applications on
                 numerical methods for fluid dynamics, held in Oxford in
                 March 1988}",
  volume =       "17",
  publisher =    pub-CLARENDON,
  address =      pub-CLARENDON:adr,
  pages =        "xvii + 529",
  year =         "1988",
  ISBN =         "0-19-853632-1",
  ISBN-13 =      "978-0-19-853632-1",
  LCCN =         "TA357 .N8726 1988",
  bibdate =      "Tue Jan 3 12:30:04 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  price =        "US\$75.00",
  series =       "The Institute of Mathematics and Its Applications
                 conference, new series",
  acknowledgement = ack-nhfb,
  subject =      "Fluid dynamics; Mathematics; Congresses; Numerical
                 calculations",
}

@Proceedings{Mason:1990:AAI,
  editor =       "J. C. Mason and M. G. Cox",
  booktitle =    "{Algorithms for approximation II: based on the
                 proceedings of the Second International Conference on
                 Algorithms for Approximation, held at Royal Military
                 College of Science, Shrivenham, July 1988}",
  title =        "{Algorithms for approximation II: based on the
                 proceedings of the Second International Conference on
                 Algorithms for Approximation, held at Royal Military
                 College of Science, Shrivenham, July 1988}",
  publisher =    pub-CHAPMAN-HALL,
  address =      pub-CHAPMAN-HALL:adr,
  pages =        "514",
  year =         "1990",
  ISBN =         "0-412-34580-3",
  ISBN-13 =      "978-0-412-34580-7",
  LCCN =         "QA221 .I54 1988",
  bibdate =      "Tue Jan 3 12:32:03 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  meetingname =  "International Conference on Algorithms for
                 Approximation (2nd: 1988: Royal Military College of
                 Science, Shrivenham, England)",
  subject =      "Approximation theory; Data processing; Congresses",
}

@Proceedings{Griffiths:1991:NAP,
  editor =       "D. F. Griffiths and G. A. Watson",
  booktitle =    "Numerical analysis, 1991: proceedings of the 14th
                 Dundee Conference, June 1991",
  title =        "Numerical analysis, 1991: proceedings of the 14th
                 Dundee Conference, June 1991",
  volume =       "260",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "292",
  year =         "1991",
  ISBN =         "0-582-08908-5",
  ISBN-13 =      "978-0-582-08908-2",
  LCCN =         "QA297 .D85 1991",
  bibdate =      "Mon Jan 15 11:05:56 1996",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/d/dongarra-jack-j.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Pitman Research Notes in Mathematics",
  acknowledgement = ack-nhfb,
}

@Book{Saff:1993:FCA,
  author =       "E. B. Saff and Arthur David Snider",
  booktitle =    "Fundamentals of complex analysis for mathematics,
                 science, and engineering",
  title =        "Fundamentals of complex analysis for mathematics,
                 science, and engineering",
  publisher =    pub-PH,
  address =      pub-PH:adr,
  edition =      "Second",
  pages =        "xi + 468",
  year =         "1993",
  ISBN =         "0-13-327461-6",
  ISBN-13 =      "978-0-13-327461-5",
  LCCN =         "QA300 .S18 1993",
  bibdate =      "Tue Jan 3 14:22:20 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 library.mit.edu:9909/mit01",
  price =        "US\$48.75",
  acknowledgement = ack-nhfb,
  subject =      "Mathematical analysis; Functions of complex
                 variables",
}

@Proceedings{Kirchgassner:1996:IPT,
  editor =       "Klaus Kirchgassner and Oskar Mahrenholtz and Reinhard
                 Mennicken",
  booktitle =    "{ICIAM 95: proceedings of the Third International
                 Congress on Industrial and Applied Mathematics held in
                 Hamburg, Germany, July 3--7, 1995}",
  title =        "{ICIAM 95: proceedings of the Third International
                 Congress on Industrial and Applied Mathematics held in
                 Hamburg, Germany, July 3--7, 1995}",
  volume =       "87",
  publisher =    "Akademie Verlag",
  address =      "Berlin, Germany",
  pages =        "487",
  year =         "1996",
  ISBN =         "3-05-501682-3",
  ISBN-13 =      "978-3-05-501682-0",
  LCCN =         "QA1 .I73 1995",
  bibdate =      "Sat Oct 24 15:57:08 1998",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Mathematical research",
  acknowledgement = ack-nhfb,
}

@Proceedings{Fischer:1998:PIC,
  editor =       "Gerd Fischer and Hannes Stoppel and Ulf Rehmann",
  booktitle =    "{Proceedings of the International Congress of
                 Mathematicians, Berlin 1998, August 18--27}",
  title =        "{Proceedings of the International Congress of
                 Mathematicians, Berlin 1998, August 18--27}",
  publisher =    "Deutscher Mathematiker-Vereinigung",
  address =      "Bielefeld, Germany",
  pages =        "????",
  year =         "1998",
  ISSN =         "1431-0635",
  LCCN =         "QA1 .I61 1998",
  bibdate =      "Tue Jan 3 14:20:09 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       j-DOC-MATH,
  acknowledgement = ack-nhfb,
  fjournal =     "Documenta Mathematica",
  meetingname =  "International Congress of Mathematicians (1998:
                 Berlin, Germany)",
  remark =       "At head of title: Documenta mathematica, Journal der
                 Deutschen Mathematiker-Vereinigung, extra volume ICM
                 1998. Volume 1: Plenary lectures and ceremonies. Volume
                 2--3: Invited lectures.",
  subject =      "Mathematics; Congresses",
}

@Proceedings{Higham:1998:NAP,
  editor =       "D. J. (Desmond J.) Higham and G. A. Watson and D. F.
                 (David Francis) Griffiths",
  booktitle =    "{Numerical analysis 1997: Proceedings of the 17th
                 Dundee Biennial Conference, June 24--27, 1997}",
  title =        "{Numerical analysis 1997: proceedings of the 17th
                 Dundee Biennial Conference, June 24--27, 1997}",
  volume =       "380",
  publisher =    pub-LONGMAN,
  address =      pub-LONGMAN:adr,
  pages =        "254",
  year =         "1998",
  ISBN =         "0-582-31261-2 (paperback)",
  ISBN-13 =      "978-0-582-31261-6 (paperback)",
  ISSN =         "0269-3674",
  LCCN =         "QA297 .D85 1997",
  bibdate =      "Tue Jan 3 15:19:05 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 melvyl.cdlib.org:210/CDL90",
  series =       "Pitman Research Notes in Mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "Dundee Conference on Numerical Analysis (17th: 1997)",
  subject =      "Numerical analysis; Congresses",
}

@Proceedings{Ainsworth:1999:GSG,
  editor =       "M. Ainsworth and Jeremy Levesley and Marco Marletta",
  title =        "{The graduate student's guide to numerical analysis
                 '98: lecture notes from the VIII EPSRC Summer School in
                 Numerical Analysis}",
  volume =       "26",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "x + 250",
  year =         "1999",
  ISBN =         "3-540-65752-5",
  ISBN-13 =      "978-3-540-65752-1",
  ISSN =         "0179-3632",
  LCCN =         "QA297 .E57 1998",
  bibdate =      "Tue Jan 3 15:24:14 MST 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 z3950.loc.gov:7090/Voyager",
  series =       "Springer series in computational mathematics",
  acknowledgement = ack-nhfb,
  meetingname =  "EPSRC Numerical Analysis Summer School (8th: 1998:
                 University of Leicester)",
  remark =       "The Eighth EPSRC Numerical Analysis Summer School was
                 held at the University of Leicester from the 5th to the
                 17th of July, 1998.",
  subject =      "Numerical analysis",
}

@Book{Iserles:1999:AN,
  author =       "Arieh Iserles",
  booktitle =    "Acta numerica 1999",
  title =        "Acta numerica 1999",
  volume =       "8",
  publisher =    pub-CAMBRIDGE,
  address =      pub-CAMBRIDGE:adr,
  pages =        "295",
  year =         "1999",
  ISBN =         "0-521-77088-2 (hardcover)",
  ISBN-13 =      "978-0-521-77088-0 (hardcover)",
  ISSN =         "0962-4929 (print), 1474-0508 (electronic)",
  ISSN-L =       "0962-4929",
  LCCN =         "QA279 1999",
  bibdate =      "Tue Jan 3 15:29:09 MST 2006",
  bibsource =    "carmin.sudoc.abes.fr:210/ABES-Z39-PUBLIC;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  series =       "Acta Numerica",
  acknowledgement = ack-nhfb,
}

@Article{Bottcher:2006:SPB,
  author =       "Albrecht B{\"o}ttcher",
  title =        "Book Review: {{\em Spectra and Pseudospectra: The
                 Behavior of Nonnormal Matrices and Operators by Lloyd
                 N. Trefethen and Mark Embree, Princeton University
                 Press, Princeton and Oxford, 2005, xvii + 606 pages,
                 ISBN 0-691-11946-5}}",
  journal =      j-LINEAR-ALGEBRA-APPL,
  volume =       "416",
  number =       "2--3",
  pages =        "1098--1101",
  day =          "15",
  month =        jul,
  year =         "2006",
  CODEN =        "LAAPAW",
  ISSN =         "0024-3795 (print), 1873-1856 (electronic)",
  ISSN-L =       "0024-3795",
  bibdate =      "Tue Jun 6 18:36:11 MDT 2006",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.sciencedirect.com/science/journal/00243795",
  acknowledgement = ack-nhfb,
  fjournal =     "Linear Algebra and its Applications",
  journal-URL =  "http://www.sciencedirect.com/science/journal/00243795",
}

@Book{Schleicher:2011:IMC,
  editor =       "Dierk Schleicher and Malte Lackmann",
  booktitle =    "An Invitation to Mathematics: From Competitions to
                 Research",
  title =        "An Invitation to Mathematics: From Competitions to
                 Research",
  publisher =    pub-SV,
  address =      pub-SV:adr,
  pages =        "xiv + 220",
  year =         "2011",
  ISBN =         "3-642-19532-6 (soft cover), 3-642-19533-4 (e-book)",
  ISBN-13 =      "978-3-642-19532-7 (soft cover), 978-3-642-19533-4
                 (e-book)",
  LCCN =         "????",
  bibdate =      "Sat Mar 23 16:04:27 MDT 2013",
  bibsource =    "http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib;
                 http://www.math.utah.edu/pub/tex/bib/amermathmonthly2010.bib;
                 z3950.loc.gov:7090/Voyager",
  acknowledgement = ack-nhfb,
  tableofcontents = "Preface: what is mathematics? \\
                 Welcome! \\
                 Structure and randomness in the prime numbers / Terence
                 Tao \\
                 How to solve a Diophantine equation / Michael Stoll \\
                 From sex to quadratic forms / Simon Norton \\
                 Small divisors: number theory in dynamical systems /
                 Jean-Christophe Yoccoz \\
                 How do IMO problems compare with research problems?
                 Ramsey theory as a case study / W. Timothy Gowers \\
                 How do research problems compare with IMO problems? A
                 walk around games / Stanislav Smirnov \\
                 Graph theory over 45 years / L{\'a}szl{\'o} Lov{\'a}sz
                 \\
                 Communication complexity / Alexander A. Razborov \\
                 Ten digit problems / Lloyd N. Trefethen \\
                 The ever-elusive blowup in the mathematical description
                 of fluids / Robert M. Kerr and Marcel Oliver \\
                 About the Hardy inequality / Nader Masmoudi \\
                 The lion and the Christian, and other pursuit and
                 evasion games / B{\'e}la Bollob{\'a}s \\
                 Three mathematics competitions / G{\"u}nter M. Ziegler
                 \\
                 Complex dynamics, the Mandelbrot set, and Newton's
                 method: or, On useless and useful mathematics / Dierk
                 Schleicher",
}

@Book{Schleicher:2013:EME,
  author =       "Dierk Schleicher and Malte Lackmann",
  booktitle =    "{Eine Einladung in die Mathematik: Einblicke in
                 aktuelle Forschung}. ({German}) [{An} invitation to
                 mathematics: insights into current research]",
  title =        "{Eine Einladung in die Mathematik: Einblicke in
                 aktuelle Forschung}. ({German}) [{An} invitation to
                 mathematics: insights into current research]",
  publisher =    "Springer Spektrum",
  address =      "Heidelberg, Germany",
  pages =        "xv + 228",
  year =         "2013",
  DOI =          "https://doi.org/10.1007/978-3-642-25798-8",
  ISBN =         "3-642-25797-6, 3-642-25798-4 (e-book)",
  ISBN-13 =      "978-3-642-25797-1, 978-3-642-25798-8 (e-book)",
  LCCN =         "QA37.3 .E3615 2013eb",
  bibdate =      "Thu Mar 23 07:12:45 MDT 2017",
  bibsource =    "fsz3950.oclc.org:210/WorldCat;
                 http://www.math.utah.edu/pub/bibnet/authors/t/trefethen-lloyd-n.bib",
  URL =          "http://public.eblib.com/choice/publicfullrecord.aspx?p=1082421;
                 http://site.ebrary.com/id/10640332",
  abstract =     "Diese Einladung zur Mathematik besteht aus 14
                 Beitr{\"a}gen, viele davon von weltweit f{\"u}hrenden
                 Mathematikern geschrieben, die die Leser in spannende
                 Aspekte aktueller mathematischer Forschung
                 einf{\"u}hren. Die Artikel sind so vielf{\"a}ltig wie
                 die Pers{\"o}nlichkeiten ihrer Autoren und zeigen, wie
                 reich und lebendig die Mathematik als Forschungsgebiet
                 ist. Das Buch richtet sich in erster Linie an
                 interessierte Sch{\"u}ler und junge Studierende, die
                 Mathematik aus der Schule oder von Wettbewerben kennen
                 und die aktuelle Forschungsmathematik kennenlernen
                 wollen. Zusammen mit einem Team junger 'Testleser'
                 haben d.",
  acknowledgement = ack-nhfb,
  language =     "German",
  remark =       "German translation by Bertram Arnold, Robin Stoll, and
                 Marcel Oliver of \booktitle{An invitation to
                 mathematics: from competitions to research}, Springer,
                 2011.",
  subject =      "Mathematics; Engineering mathematics; Essays;
                 Pre-Calculus; Reference; Mathematics",
  tableofcontents = "Vorwort: Was ist Mathematik? / G{\"u}nter M.
                 Ziegler / vii \\
                 Willkommen! / Eine Begr{\"u}{\ss}ung durch die
                 Herausgeber / ix \\
                 Struktur und Zuf{\"a}lligkeit der Primzahlen / Terence
                 Tao / 1 \\
                 1 Einleitung \\
                 2 Primzahlen finden \\
                 3 Primzahlen z{\"a}hlen \\
                 4 Primzahlen modellieren \\
                 5 Muster in den Primzahlen finden \\
                 Literaturverzeichnis \\
                 Wie man Diophantische Gleichungen l{\"o}st / Michael
                 Stoll / 9 \\
                 1 Diophantische Gleichungen \\
                 2 Die Beispielgleichung \\
                 3 Eine geometrische Interpretation \\
                 4 Nadeln im Heuhaufen \\
                 Literaturverzeichnis \\
                 Vom Kindergarten zu quadratischen Formen / Simon Norton
                 / 21 \\
                 1 Einleitung \\
                 2 Vom Geschlecht zu Socken \\
                 3 Von Socken zu Dreiecken \\
                 4 Von Dreiecken zu quadratischen Formen \\
                 5 Negative Diskriminanten \\
                 6 Verschwindende Diskriminante \\
                 7 Positive Diskriminanten \\
                 8 Orbits von Tripeln \\
                 9 Quadratische Diskriminanten \\
                 10 Positive nichtquadratische Diskriminanten \\
                 11 Zusammenfassung \\
                 Literaturverzeichnis \\
                 Kleine Nenner: Zahlentheorie in dynamischen Systemen /
                 Jean-Christophe Yoccoz / 43 \\
                 1 Planetensysteme \\
                 2 Komplexe quadratische Polynome und Linearisierung \\
                 3 Diophantische N{\"a}herung \\
                 4 Weitere Ergebnisse und offene Fragen \\
                 5 Mehrere Freiheitsgrade \\
                 Literaturverzeichnis \\
                 Sind IMO-Aufgaben wie Forschungsprobleme? / W. Timothy
                 Gowers / 57 \\
                 1 Einleitung \\
                 2 Asymptotisches Verhalten der Ramseyzahlen \\
                 3 Was ist Ramseytheorie?4 Ein Ramseysatz {\"u}ber eine
                 unendliche Struktur \\
                 5 Von Kombinatorik zu unendlichdimensionaler Geometrie
                 \\
                 6 Ein wenig mehr {\"u}ber Banachr{\"a}ume \\
                 7 Ein schwacher Ramsey-artiger Satz f{\"u}r
                 Unterr{\"a}ume \\
                 8 Zusammenfassung \\
                 Weiterf{\"u}hrende Literatur \\
                 Sind Forschungsprobleme wie IMO-Aufgaben? / Stanislav
                 Smirnov / 73\\
                 1 L{\"o}sen Mathematiker Probleme? \\
                 2 Das F{\"u}nfeckspiel \\
                 3 Das Spiel des Lebens \\
                 4 Das Sandhaufenmodell \\
                 5 Kreuzungsfreie Wanderung \\
                 6 Zusammenfassung \\
                 Literaturverzeichnis \\
                 45 Jahre Graphentheorie / L{\'a}szl{\'o} Lov{\'a}sz \\
                 1 Einleitung \\
                 2 Diskrete Optimierung \\
                 3 Informatik \\
                 4 Die probabilistische Methode \\
                 5 Algebra, Topologie und Graphentheorie \\
                 6 Netzwerke, oder sehr gro{\ss}e Graphen \\
                 Literaturverzeichnis \\
                 Die Komplexit{\"a}t der Kommunikation / Alexander A.
                 Razborov / 99 \\
                 1 Einleitung \\
                 2 Das Grundmodell \\
                 3 Untere Schranken \\
                 4 Sind die Schranken scharf? \\
                 5 Probabilistische Modelle \\
                 6 Andere Varianten von Kommunikationskomplexit{\"a}t
                 \\
                 7 Zusammenfassung \\
                 Formelindex \\
                 Literaturverzeichnis \\
                 Zehnstellige Probleme / Lloyd N. Trefethen / 121 \\
                 1 Einleitung \\
                 2 Zwei W{\"u}rfel \\
                 3 F{\"u}nf M{\"u}nzen \\
                 4 Blow-Up \\
                 5 Die 100-Stellen-Herausforderung \\
                 6 Epilog \\
                 Literaturverzeichnis \\
                 Regul{\"a}r oder singul{\"a}r? Mathematische und
                 numerische R{\"a}tsel in der Str{\"o}mungsmechanik /
                 Robert M. Kerr und Marcel Oliver / 141 \\
                 1 Einleitung \\
                 2 Die Differentialgleichungen der Str{\"o}mungsmechanik
                 \\
                 3 Erhaltungss{\"a}tze \\
                 4 Das Clay-Milleniums-Problem \\
                 5 Regul{\"a}r oder nicht regul{\"a}r, das ist hier die
                 Frage \\
                 6 Wirbelschl{\"a}uche als Testfall \\
                 7 Numerische Fehler \\
                 8 Eine Einladung zur Forschung \\
                 Anhang A. Im Schnellschritt durch die Vektoranalysis
                 \\
                 Anhang B. Energieabsch{\"a}tzungen \\
                 Anhang C. Spektralund Pseudospektralmethoden \\
                 Literaturverzeichnis \\
                 {\"U}ber die Hardy-Ungleichung / Nader Masmoudi / 171
                 \\
                 1 Ungleichungen \\
                 2 Geschichte der Hardy-Ungleichung \\
                 3 Beweis der Hardy-Ungleichung \\
                 4 Varianten der Hardy-Ungleichung \\
                 5 Anwendungen \\
                 6 Fazit \\
                 Literaturverzeichnis \\
                 Der L{\"o}we und der Christ, und andere Verfolgungs und
                 Fluchtspiele / B{\'e}la Bollob{\'a}s / 187 \\
                 Drei mathematische Wettbewerbe / G{\"u}nter M. Ziegler
                 / 201 \\
                 Komplexe Dynamik, die Mandelbrot-Menge und das
                 Newton-Verfahren -- oder: Von nutzloser und
                 n{\"u}tzlicher Mathematik /Dierk Schleicher / 213",
}

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