Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite volume HWENO schemes for nonconvex conservation laws   We illustrate that numerical solutions of high order finite volume Hermite
weighted essentially non-oscillatory (HWENO) scheme for some nonconvex
conservation laws perform poorly or converge to the entropy solution in a slow
speed. The modified finite volume HWENO schemes based either on first order
monotone schemes or a second order entropic projection following the work of
Qiu and Shu [SIAM J. Sci. Comput., 31 (2008), 584-607] are proposed and
compared for solving one-dimensional scalar problems. We extend the modified
finite volume HWENO based on first order monotone schemes for one-dimensional
systems and two-dimensional scalar conservation laws. Numerical tests for
several representative examples will be reported.

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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th