A kinetic method for strictly nonlinear conservation laws

DOI10.1007/BF00945796zbMath0751.35026OpenAlexW1991641980MaRDI QIDQ1175299

Klaus Dressler, Manfred Bäcker

Publication date: 25 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00945796

zbMATH Keywords

Cauchy problemweak solutionstime stepscalar conservation lawsartificial velocity-type variablediscretizations in spacelinear kinetic equationnon-smooth regionsuitable distribution functionupstream finite difference methods

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Hyperbolic conservation laws (35L65) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

A kinetic method for strictly nonlinear conservation laws, A new discrete velocity method for Navier-Stokes equations, Kinetic schemes in the case of low Mach numbers

Uses Software

• HLLE

Cites Work

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• A kinetic method for strictly nonlinear conservation laws
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• Averaged Multivalued Solutions for Scalar Conservation Laws
• Monotone Difference Approximations for Scalar Conservation Laws
• Stable and Entropy Satisfying Approximations for Transonic Flow Calculations
• One-Sided Difference Approximations for Nonlinear Conservation Laws
• On finite-difference approximations and entropy conditions for shocks