Volume 10, Issue 2
The Entropy Condition for Implicit TVD Schemes

Yu-hua Wu and Hua-mo Wu

J. Comp. Math., 10 (1992), pp. 155-166

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  • 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.

  • History

Published online: 1992-10

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