Invariant difference schemes and their application to sl(2\hbox{,}\, \mathbb {R}) invariant ordinary differential equations

DOI10.1088/1751-8113/42/45/454016zbMath1178.65080arXiv0906.2980OpenAlexW3126038125MaRDI QIDQ3648257

Raphaël Rebelo, Pavel Winternitz

Publication date: 24 November 2009

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

Full work available at URL: https://arxiv.org/abs/0906.2980

zbMATH Keywords

Lie point symmetriessymmetry preserving method

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) 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)

Related Items (5)

Symmetry preserving numerical schemes for partial differential equations and their numerical tests ⋮ Group foliation of finite difference equations ⋮ Conformally invariant elliptic Liouville equation and its symmetry-preserving discretization ⋮ Discretization of hyperbolic type Darboux integrable equations preserving integrability ⋮ The discretized Boussinesq equation and its conditional symmetry reduction

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