Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equations

DOI10.1088/1751-8113/49/3/035201zbMath1344.65069arXiv1507.06428OpenAlexW2267626589WikidataQ58324917 ScholiaQ58324917MaRDI QIDQ2994560

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Publication date: 2 August 2016

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

Full work available at URL: https://arxiv.org/abs/1507.06428

zbMATH Keywords

numerical examplecomparison of methodsdifference equationsRunge-Kutta methodLie symmetriesinvariant methodpositive transformation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite difference and finite volume methods for ordinary differential equations (65L12)

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Weak symmetries of stochastic differential equations driven by semimartingales with jumps ⋮ Group foliation of finite difference equations ⋮ Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization ⋮ Symmetry-Preserving Finite Element Schemes: An Introductory Investigation ⋮ The discretized Boussinesq equation and its conditional symmetry reduction

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