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Volume 20, Issue 2
On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws

Hua-Zhong Tang & Hua-Mo Wu

J. Comp. Math., 20 (2002), pp. 121-128.

Published online: 2002-04

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  • 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.

  • Keywords

Conservation laws, weighted implicit schemes, entropy solution.

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COPYRIGHT: © Global Science Press

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@Article{JCM-20-121, author = {Tang , Hua-Zhong and Wu , Hua-Mo}, title = {On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws}, journal = {Journal of Computational Mathematics}, year = {2002}, volume = {20}, number = {2}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8904.html} }
TY - JOUR T1 - On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws AU - Tang , Hua-Zhong AU - Wu , Hua-Mo JO - Journal of Computational Mathematics VL - 2 SP - 121 EP - 128 PY - 2002 DA - 2002/04 SN - 20 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8904.html KW - Conservation laws, weighted implicit schemes, entropy solution. AB -

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.

Tang , Hua-Zhong and Wu , Hua-Mo. (2002). On the Convergence of Implicit Difference Schemes for Hyperbolic Conservation Laws. Journal of Computational Mathematics. 20 (2). 121-128. doi:
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