Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Back and Forth Error Compensation and Correction Method for Linear
  Hyperbolic Systems with Application to the Maxwell's equations   We study the Back and Forth Error Compensation and Correction (BFECC) method
for linear hyperbolic PDE systems. The BFECC method has been applied to schemes
for advection equations to improve their stability and order of accuracy.
Similar results are established in this paper for schemes for linear hyperbolic
PDE systems with constant coefficients. We apply the BFECC method to central
difference scheme and Lax-Friedrichs scheme for the Maxwell's equations and
obtain second order accurate schemes with larger CFL number than the classical
Yee scheme. The method is further applied to schemes on non-orthogonal
unstructured grids. The new BFECC schemes for the Maxwell's equations operate
on a single non-staggered grid and are simple to implement on unstructured
grids. Numerical examples are given to demonstrate the effectiveness of the new
schemes.

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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc