On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws

On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws

Year:    2002

Author:    Hua-Zhong Tang, Hua-Mo Wu

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 121–128

Abstract

This paper is to treat implicit difference approximations to hyperbolic conservation laws with non-convex flux. The convergence of the approximate solution toward the entropy solution is established for the general weighted implicit difference schemes, which include some well-known implicit and explicit difference schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2002-JCM-8904

Journal of Computational Mathematics, Vol. 20 (2002), Iss. 2 : pp. 121–128

Published online:    2002-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    Conservation laws weighted implicit schemes entropy solution.

Author Details

Hua-Zhong Tang

Hua-Mo Wu