3 citations · 4 across the 4 of their papers we have counts for
4 papers
Invariant-based approach to symmetry class detection
Nicolas Auffray, Boris Kolev, Michel Petitot
In this paper, the problem of the identification of the symmetry class of a given tensor is asked. Contrary to classical approaches which are based on the spectral properties of th…
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…
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…
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…