Towards a New ODE Solver Based on Cartan's Equivalence Method

2007/02/10 by Raouf Dridi, Dridi, R., Michel Petitot +1
Computer Science · #FOS: Computer and information sciences #I.1.2 #Matrix Theory and Algorithms #Symbolic Computation (cs.SC)

paper · pdf · doi:10.48550/arxiv.cs/0702065

openalex publication_date 2007/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of the present paper is to propose an algorithm for a new ODE--solver which should improve the abilities of current solvers to handle second order differential equations. The paper provides also a theoretical result revealing the relationship between the change of coordinates, that maps the generic equation to a given target equation, and the symmetry \D-groupoid of this target.

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