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Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2016/v17r104.html
Дата изменения: Fri Feb 5 13:24:07 2016 Дата индексирования: Sun Apr 10 02:59:48 2016 Кодировка: IBM-866 |
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"Construction of third-order schemes using Lagrange-Burmann expansions
for the numerical integration of inviscid gas equations" Vorozhtsov E.V. |
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It is proposed to construct several explicit third-order difference schemes for the hyperbolic conservation laws using the expansions of grid functions in Lagrange-Burmann series. The results of test computations for the one-dimensional advection equation and multidimensional Euler equations governing the inviscid compressible gas flows confirm the third order of accuracy of the constructed schemes. The quasi-monotonous profiles of numerical solutions are obtained. Keywords: hyperbolic conservation laws, Lagrange-Burmann expansions, difference methods.
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