Stability of explicit schemes for solving Maxwell’s equations by high-order finite volume methods

Authors

  • D.K. Firsov

Keywords:

Maxwell’s equations
finite volume method
stability of explicit schemes
high-order accuracy
partial differential equations

Abstract

A new stability criterion of explicit schemes for solving Maxwell’s equations by high-order finite volume methods is proposed. The proof is based on a generalization of the stability criterion for the first-order finite volume scheme to the case of high-order schemes. The effect of discontinuities of the solution on the stability of high-order schemes is evaluated. The maximum principle for the finite volume approximations of vector conservation laws is discussed.

New computational technologies

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Published

2014-05-15

Issue

Vol. 15 (2014): Issue 2.

Section

Section 1. Numerical methods and applications

Author Biography

D.K. Firsov

Geomodeling Technology Corp.
• Numerical Programmer

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