Symmetry Preserving Discretization of SL(2,R) Invariant Equations

DOI10.2991/jnmp.2008.15.s3.35zbMath1362.65076arXiv0711.0145OpenAlexW3105932104MaRDI QIDQ5347012

Anne Bourlioux, Raphaël Rebelo, Pavel Winternitz

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.0145

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Finite difference and finite volume methods for ordinary differential equations (65L12) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (6)

Symmetry preserving numerical schemes for partial differential equations and their numerical tests ⋮ On the development of symmetry-preserving finite element schemes for ordinary differential equations ⋮ Group foliation of finite difference equations ⋮ Invariant conservation law-preserving discretizations of linear and nonlinear wave equations ⋮ Symmetry-Preserving Finite Element Schemes: An Introductory Investigation ⋮ Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups

Cites Work

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• Lie point symmetries of difference equations and lattices
• Lie group classification of second-order ordinary difference equations
• Continuous symmetries of difference equations
• Difference schemes with point symmetries and their numerical tests

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