Entropy production in second-order three-point schemes

DOI10.1007/BF01396235zbMath0761.65070MaRDI QIDQ1204154

Thomas Sonar

Publication date: 1 April 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133656

zbMATH Keywords

entropy inequalityoscillationssystems of conservation lawsnumerical entropysemi-discrete three-point finite difference methods

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

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• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• Riemann Solvers, the Entropy Condition, and Difference
• The Large-Time Behavior of the Scalar, Genuinely Nonlinear Lax-Friedrichs Scheme
• On the Convergence of Difference Approximations to Scalar Conservation Laws
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• Uniqueness failure for entropy solutions of hyperbolic systems of conservation laws
• Solutions in the large for nonlinear hyperbolic systems of equations

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