An entropy satisfying MUSCL scheme for systems of conservation laws
type: Item
instance of: scholarly article
title: An entropy satisfying MUSCL scheme for systems of conservation laws
zbMATH Open document ID: 0860.65076
author: F. Coquel
author: Philippe G. LeFloch
published in: Numerische Mathematik
publication date: 1997-04-14T00:00:00Z
review text: The numerical solution of a hyperbolic system of conservation laws is discussed. The authors propose to use an entropy diminishing criterion instead of the total variation diminishing criterion for scalar equations. Based on this criterion they derive entropy diminishing projections that ensure second order of accuracy and all the classical discrete entropy inequalities. Strong convergence is proved for systems of two equations.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 932006
zbMATH Keywords: hyperbolic system of conservation laws
zbMATH Keywords: entropy diminishing criterion
zbMATH Keywords: total variation diminishing criterion
zbMATH Keywords: discrete entropy inequalities
zbMATH Keywords: convergence
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
full work available at URL: s002110050205
OpenAlex ID: W2009988319
DOI: 10.1007/S002110050205
description: scientific article; zbMATH DE number 932006