A difference scheme for a stiff system of conservation laws

DOI10.1017/S0308210500027396zbMath0923.65053MaRDI QIDQ4229283

Wen-An Yong

Publication date: 17 October 1999

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergenceconservation lawsequilibriumrelaxationstiff systemsemi-implicit difference schemeentropy-satisfying BV-solutionsmotion for a viscoelastic solid

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Cites Work

• The Riemann problem for the system \(u_ t+\sigma _ x=0\) and \((\sigma - f(u))_ t+(\sigma -\mu f(u))=0\)
• Hyperbolic conservation laws with relaxation
• Accuracy of some approximate methods for computing the weak solutions of a first-order quasi-linear equation
• Zero relaxation and dissipation limits for hyperbolic conservation laws
• An L1--Error Bound for a Semi-Implicit Difference Scheme Applied to a Stiff System of Conservation Laws
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