4 citations · 6 across the 3 of their papers we have counts for
3 papers
math.AP2008
Towards new schemes: A Lie-group approach of the CBKDV and its derived equations
Emma Hoarau, Claire David
The aim of this paper is to propose methods that enable us to build new numerical schemes, which preserve the Lie symmetries of the original differential equations. To this purpose…
math.NA2006★ 4 cited
Lie group computation of finite difference schemes
Emma Hoarau, Claire David
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 p…
math.NA2006★ 2 cited
Lie group stability of finite difference schemes
Emma Hoarau, Claire David, Pierre Sagaut +1
Differential equations arising in fluid mechanics are usually derived from the intrinsic properties of mechanical systems, in the form of conservation laws, and bear symmetries, wh…