On the Cell Entropy Inequality for the Fully Discrete Relaxing Schemes

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Abstract

In this paper we study the cell entropy inequality for two classes of the fully discrete relaxing schemes approximating scalar conservation laws presented by Jin and Xin in [7], and Tang in [14], which implies convergence for the one-dimensional scalar case.

Keywords:

The relaxing schemes Entropy inequality Conservation laws.
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On the Cell Entropy Inequality for the Fully Discrete Relaxing Schemes. (2001). Journal of Computational Mathematics, 19(5), 511-518. https://www.global-sci.com/index.php/JCM/article/view/11453