Discretization of partial differential equations preserving their physical symmetries

DOI10.1088/0305-4470/38/45/004zbMath1078.76051arXivmath-ph/0507061OpenAlexW3103984559MaRDI QIDQ5714928

Francis Valiquette, Pavel Winternitz

Publication date: 16 December 2005

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0507061

zbMATH Keywords

heat equationBurgers equationKorteweg-de Vries equationLie point symmetries

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items (7)

Symmetry preserving numerical schemes for partial differential equations and their numerical tests ⋮ Analytical and numerical solutions of fluid flow filled with and without porous media in circular pipes ⋮ Convecting reference frames and invariant numerical models ⋮ High order accurate finite difference schemes based on symmetry preservation ⋮ Comparison of some Lie-symmetry-based integrators ⋮ Invariant parameterization and turbulence modeling on the beta-plane ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations

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