Construction of the entropy solution of hyperbolic conservation laws by a geometrical interpretation of the conservation principle

DOI10.1016/0021-9991(91)90252-GzbMath0732.65089OpenAlexW2012115483MaRDI QIDQ808656

H. Jackisch, K.-D.Werner, Harald Böing

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(91)90252-g

zbMATH Keywords

stabilityconvergenceentropy solutionhyperbolic conservation lawsmethod of characteristicsCPU timegeometrical averagingnumber of shocks

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25)

Cites Work

• Unnamed Item
• High resolution schemes for hyperbolic conservation laws
• Numerical solution of a nonlinear hyperbolic equation by the random choice method
• Averaged Multivalued Solutions for Scalar Conservation Laws
• The evolution of discontinuities in solutions of inhomogeneous scalar hyperbolic conservation laws in several space dimensions
• Monotone Difference Approximations for Scalar Conservation Laws
• Solutions to Nonlinear Hyperbolic Cauchy Problems Without Convexity Conditions
• FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES

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