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Keldysh Institute preprints, 2013, 032, 12 pp. (Mi ipmp1782)  

One method for numerical solutions of conservation laws systems

M. E. Ladonkina, V. F. Tishkin


Abstract: A method for solving systems of conservation laws, which is a generalization of integro-interpolation method is proposed in this paper. We study the order of accuracy of the method for smooth solutions. The shockentropy interaction problem, which contains strong discontinuities is solved by the proposed method. It is shown that the solution obtained by this method has a higher order than the solution obtained by the first-order scheme.

Keywords: systems of conservation laws, order accurate scheme, discontinuous solution.

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Citation: M. E. Ladonkina, V. F. Tishkin, “One method for numerical solutions of conservation laws systems”, Keldysh Institute preprints, 2013, 032, 12 pp.

Citation in format AMSBIB
\Bibitem{LadTis13}
\by M.~E.~Ladonkina, V.~F.~Tishkin
\paper One method for numerical solutions of conservation laws systems
\jour Keldysh Institute preprints
\yr 2013
\papernumber 032
\totalpages 12
\mathnet{http://mi.mathnet.ru/ipmp1782}


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