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- W2023343093 abstract "A systematic procedure for constructing semidiscrete, second order accurate, variation diminishing, five-point band width, approximations to scalar conservation laws, is presented. These schemes are constructed to also satisfy a single discrete entropy inequality. Thus, in the convex flux case, we prove convergence to the unique physically correct solution. For hyperbolic systems of conservation laws, we formally use this construction to extend the first author’s first order accurate scheme, and show (under some minor technical hypotheses) that limit solutions satisfy an entropy inequality. Results concerning discrete shocks, a maximum principle, and maximal order of accuracy are obtained. Numerical applications are also presented." @default.
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- W2023343093 date "1997-01-01" @default.
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- W2023343093 title "High Resolution Schemes and the Entropy Condition" @default.
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- W2023343093 doi "https://doi.org/10.1007/978-3-642-60543-7_7" @default.
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