Algorithmic calculus for Lie determining systems
type: Item
instance of: scholarly article
title: Algorithmic calculus for Lie determining systems
zbMATH Open document ID: 1361.35012
author: Ian G. Lisle
author: S.-L. Tracy Huang
published in: Journal of Symbolic Computation
publication date: 2017-02-03T00:00:00Z
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 17B05
Mathematics Subject Classification ID: 68W30
zbMATH DE Number: 6680383
zbMATH Keywords: determining equations
zbMATH Keywords: Lie symmetry
zbMATH Keywords: Lie algebra
zbMATH Keywords: structure constants
zbMATH Keywords: differential elimination
zbMATH Keywords: algorithm
describes a project that uses: GeM
describes a project that uses: SADE
describes a project that uses: Janet
describes a project that uses: Maple
describes a project that uses: DifferentialGeometry
MaRDI profile type: Publication
full work available at URL: j.jsc.2016.03.002
OpenAlex ID: W2330713426
cites work: Q4305609
cites work: New symbolic tools for differential geometry, gravitation, and field theory
cites work: Symmetry and integration methods for differential equations
cites work: Applications of symmetry methods to partial differential equations
cites work: Q4227290
cites work: Q3994903
cites work: Symbolic computation and differential equations: Lie symmetries
cites work: An introduction to Janet bases and Gröbner bases
cites work: GeM software package for computation of symmetries and conservation laws of differential equations
cites work: Using Algebraic Geometry
cites work: Homomorphisms of Continuous Pseudogroups
cites work: Recognizing the symmetry type of O. D. E. s
cites work: Q3156401
cites work: Q4942163
cites work: Q4238949
cites work: Quotients of Pseudo Groups by Invariant Fiberings
cites work: An orderly linear PDE system with analytic initial conditions with a non-analytic solution.
cites work: Geometry and structure of Lie pseudogroups from infinitesimal defining systems
cites work: Structure of symmetry of PDE: exploiting partially integrated systems
cites work: Q4273954
cites work: On the structure of Lie pseudo-groups
cites work: Q3945260
cites work: Q3209062
cites work: Q4234222
cites work: Reduction of systems of nonlinear partial differential equations to simplified involutive forms
cites work: [SADE] a Maple package for the symmetry analysis of differential equations
cites work: Q4226931
cites work: An algorithm for determining the size of symmetry groups
cites work: Q4234220
cites work: Q5307639
cites work: The infinite groups of Lie and Cartan. I: The transitive groups
cites work: Q4496847
DOI: 10.1016/J.JSC.2016.03.002
description: scientific article; zbMATH DE number 6680383