3 papers
math.DG2007
New classification techniques for ordinary differential equations
Raouf Dridi, Michel Petitot
The goal of the present paper is to propose an enhanced ordinary differential equations solver by exploitation of the powerful equivalence method of Élie Cartan. This solver return…
cs.SC2007
Towards a New ODE Solver Based on Cartan's Equivalence Method
R. Dridi, M. Petitot
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. T…
math.DG2005
Elie Cartan's geometrical vision or how to avoid expression swell
S. Neut, M. Petitot, R. Dridi
The aim of the paper is to demonstrate the superiority of Cartan's method over direct methods based on differential elimination for handling otherwise intractable equivalence probl…