@Article{JCM-20-2, 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/2002-JCM-8904}, url = {https://global-sci.com/article/85392/on-the-convergence-of-implicit-difference-schemes-for-hyperbolic-conservation-laws} }