Year: 2001
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 371–384
Abstract
In this paper a kind of quadratic cell entropy inequalities of second order resolution SOR-TVD schemes is obtained for scalar hyperbolic conservation laws with strictly convex (concave) fluxes, which in turn implies the convergence of the schemes to the physically relevant solution of the problem. The theoretical results obtained in this paper improve the main results of Osher and Tadmor [6].
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2001-JCM-8990
Journal of Computational Mathematics, Vol. 19 (2001), Iss. 4 : pp. 371–384
Published online: 2001-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Entropy condition High resolution schemes Conservation laws.