On the range diminishing property of numerical schemes for scalar conservation laws

DOI10.1016/j.cam.2020.113013zbMath1446.65090OpenAlexW3037351945MaRDI QIDQ2195899

A. J. Kriel

Publication date: 28 August 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.113013

zbMATH Keywords

conservation lawsfinite volume methodsTVDnon-oscillatoryrange diminishing

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Cites Work

• Non-oscillatory central differencing for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• Local oscillations in finite difference solutions of hyperbolic conservation laws
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Numerical Viscosity and the Entropy Condition for Conservative Difference Schemes
• Uniformly High-Order Accurate Nonoscillatory Schemes. I
• Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
• Computational Gasdynamics
• Generalized monotone schemes, discrete paths of extrema, and discrete entropy conditions
• On Wavewise Entropy Inequality for High Resolution Schemes II: Fully Discrete MUSCL Schemes with Exact Evolution in Small Time
• Finite Volume Methods for Hyperbolic Problems
• The correct use of the Lax–Friedrichs method
• An analysis of the influence of data extrema on some first and second order central approximations of hyperbolic conservation laws

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