Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the numerical evaluation of the prolate spheroidal wave functions of
  order zero   We describe a method for the numerical evaluation of the angular prolate
spheroidal wave functions of the first kind of order zero. It is based on the
observation that underlies the WKB method, namely that many second order
differential equations admit solutions whose logarithms can be represented much
more efficiently than the solutions themselves. However, rather than exploiting
this fact to construct asymptotic expansions of the prolate spheroidal wave
functions, our algorithm operates by numerically solving the Riccati equation
satisfied by their logarithms. Its running time grows much more slowly with
bandlimit and characteristic exponent than standard algorithms. We illustrate
this and other properties of our algorithm with numerical experiments.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph