Lie group computation of finite difference schemes

2006/11/29 by Emma Hoarau, Hoarau, Emma, Claire David +1
Mathematics · Physics and Astronomy · Computer Science · #Numerical methods for differential equations #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.math/0611895

Abstract

A Mathematica based program has been elaborated in order to determine the symmetry group of a finite difference equation, by means of its differential representation. The package provides functions which enable us to solve the determining equations of the related Lie group

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