On a Cell Entropy Inequality of the Relaxing Schemes for Scalar Conservation Laws

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Abstract

In this paper we study a cell entropy inequality for a class of the local relaxation approximation — The Relaxing Schemes for scalar conservation laws presented by Jin and Xin in [1], which implies convergence for the one-dimensional scalar case.  

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Hyperbolic conservation laws the relaxing schemes cell entropy inequality.
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On a Cell Entropy Inequality of the Relaxing Schemes for Scalar Conservation Laws. (2000). Journal of Computational Mathematics, 18(1), 69-74. https://gsp.tricubic.dev/JCM/article/view/11357