Essentially Non-oscillatory Schemes Using the Entropy Rate Criterion

DOI10.1007/978-3-031-40860-1_23OpenAlexW4387586146MaRDI QIDQ6151397

Simon-Christian Klein

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-40860-1_23

zbMATH Keywords

finite volumereconstructionoptimal recoveryentropy stabilityentropy rate criterion

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Variational methods applied to PDEs (35A15) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

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• A variational approach to the Riemann problem for hyperbolic conservation laws
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Weighted essentially non-oscillatory schemes
• On the use of Mühlbach expansions in the recovery step of ENO methods
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• The Numerical Viscosity of Entropy Stable Schemes for Systems of Conservation Laws. I
• Optimal recovery using thin plate splines in finite volume methods for the numerical solution of hyperbolic conservation laws

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