Towards a New ODE Solver Based on Cartan's Equivalence Method
符号计算
2007-08-01 v2
摘要
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 -groupoid of this target.
引用
@article{arxiv.cs/0702065,
title = {Towards a New ODE Solver Based on Cartan's Equivalence Method},
author = {R. Dridi and M. Petitot},
journal= {arXiv preprint arXiv:cs/0702065},
year = {2007}
}