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Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2014/v15r125.html
Дата изменения: Thu May 15 18:19:20 2014 Дата индексирования: Sun Apr 10 03:03:09 2016 Кодировка: IBM-866 |
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"Stability of explicit schemes for solving Maxwell's equations by
high-order finite volume methods" Firsov D.K. |
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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. Keywords: Maxwell's equations, finite volume method, stability of explicit schemes, high-order accuracy, partial differential equations.
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