@Article{JCM-10-2, author = {Yu-Hua, Wu and Wu, Hua-Mo}, title = {The Entropy Condition for Implicit TVD Schemes}, journal = {Journal of Computational Mathematics}, year = {1992}, volume = {10}, number = {2}, pages = {155--166}, abstract = {

A class of implicit trapezoidal TVD schemes is proven to satisfy a discrete convex entropy inequality and the solution sequence of such implicit trapezoidal schemes converges to the physically relevant solution for genuinely nonlinear scalar conservation laws. The results are extended for a class of generalized implicit one-leg TVD schemes.

}, issn = {1991-7139}, doi = {https://doi.org/1992-JCM-9348}, url = {https://global-sci.com/article/85945/the-entropy-condition-for-implicit-tvd-schemes} }