Symmetry preserving numerical schemes for partial differential equations and their numerical tests
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Publication:5301053
DOI10.1080/10236198.2012.685470zbMath1267.65111arXiv1110.5921OpenAlexW2096306285MaRDI QIDQ5301053
Raphaël Rebelo, Francis Valiquette
Publication date: 2 July 2013
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.5921
KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)
Related Items (18)
Convecting reference frames and invariant numerical models ⋮ Inductive moving frames ⋮ Joint differential invariants of binary and ternary forms ⋮ On the development of symmetry-preserving finite element schemes for ordinary differential equations ⋮ High order accurate finite difference schemes based on symmetry preservation ⋮ Invariants of objects and their images under surjective maps ⋮ Exponentially fitted methods with a local energy conservation law ⋮ Equivalence of one-dimensional second-order linear finite difference operators ⋮ Discrete moving frames on lattice varieties and lattice-based multispaces ⋮ Group foliation of finite difference equations ⋮ Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization ⋮ Invariant parameterization and turbulence modeling on the beta-plane ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ Recursive moving frames for Lie pseudo-groups ⋮ Symmetry-Preserving Finite Element Schemes: An Introductory Investigation ⋮ Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups ⋮ The discretized Boussinesq equation and its conditional symmetry reduction ⋮ Symmetry reduction of ordinary finite difference equations using moving frames
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