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On entropy conditions of high resolution schemes for scalar conservation laws - MaRDI portal

On entropy conditions of high resolution schemes for scalar conservation laws (Q2748455)

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scientific article; zbMATH DE number 1659458
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On entropy conditions of high resolution schemes for scalar conservation laws
scientific article; zbMATH DE number 1659458

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    15 July 2002
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    entropy inequality
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    second-order resolution
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    total-variation diminishing
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    conservation laws
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    On entropy conditions of high resolution schemes for scalar conservation laws (English)
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    The paper is revisiting the work of \textit{S. Osher} and \textit{E. Tadmor} [Math. Comput. 50, No. 181, 19-51 (1988; Zbl 0637.65091)] on the cell entropy inequalities for second order total-variation diminishing schemes. A more direct method of proof is proposed, which avoids the use of nonsmooth modified numerical fluxes and yields better estimates of the entropy production, the authors say.
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