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Group foliation of finite difference equations (Q2205844)

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Language	Label	Description	Also known as
English	Group foliation of finite difference equations	scientific article

Statements

scholarly article

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Group foliation of finite difference equations (English)

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Robert Thompson

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Francis Valiquette

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Communications in Nonlinear Science and Numerical Simulation

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publication date

21 October 2020

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zbMATH Keywords

equivariant moving frames

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finite difference equations

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group foliation

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joint invariants

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Lie group actions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.cnsns.2017.11.027

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Exterior differential systems with symmetry

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Symmetry-Preserving Numerical Schemes

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Difference schemes with point symmetries and their numerical tests

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

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

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Integrating scalar ordinary differential equations with symmetry revisited

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Moving coframes. II: Regularization and theoretical foundations

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Differential invariants of a Lie group action: syzygies on a generating set

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Difference Equations by Differential Equation Methods

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Geometric integration via multi-space

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INVARIANTS OF PSEUDOGROUP ACTIONS: HOMOLOGICAL METHODS AND FINITENESS THEOREM

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Invariants différentiels d'un pseudogroupe de Lie. II

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Lie point symmetries of difference equations and lattices

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Lie symmetries of multidimensional difference equations

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Continuous symmetries of difference equations

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Group foliation and non-invariant solutions of the heavenly equation

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On the finiteness of differential invariants.

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Differential invariants and group foliation for the complex Monge-Ampère equation

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Geometric foundations of numerical algorithms and symmetry

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Joint invariant signatures

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Differential invariant algebras of Lie pseudo-groups

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Reduction of exterior differential systems with infinite dimensional symmetry groups

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Symmetry preserving numerical schemes for partial differential equations and their numerical tests

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Invariant discretization of partial differential equations admitting infinite-dimensional symmetry groups

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

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GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES

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Identifiers

10.1016/j.cnsns.2017.11.027

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2205844

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