On the accuracy of invariant numerical schemes

DOI10.3934/CPAA.2011.10.761zbMath1251.65145OpenAlexW2328942628MaRDI QIDQ651998

Aziz Hamdouni, Marx Chhay

Publication date: 19 December 2011

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2011.10.761

zbMATH Keywords

Burgers equationgeometric integrationLie symmetryorder of accuracymoving framesinvariant methodsinvariant numerical schemesparametrized scheme

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Symmetry preserving numerical schemes for partial differential equations and their numerical tests ⋮ Heterogeneous asynchronous time integrators for computational structural dynamics ⋮ From modelling of systems with constraints to generalized geometry and back to numerics ⋮ Global spectral analysis: review of numerical methods ⋮ Comparison of some Lie-symmetry-based integrators ⋮ Serre-type Equations in Deep Water ⋮ On the Galilean Invariance of Some Nonlinear Dispersive Wave Equations

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