The Entropy Condition for Implicit TVD Schemes

The Entropy Condition for Implicit TVD Schemes

Year:    1992

Author:    Yu-Hua Wu, Hua-Mo Wu

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 2 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/1992-JCM-9348

Journal of Computational Mathematics, Vol. 10 (1992), Iss. 2 : pp. 155–166

Published online:    1992-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:   

Author Details

Yu-Hua Wu

Hua-Mo Wu