15 citations · 28 across the 7 of their papers we have counts for
3 papers · 1 filter
Generalized and graded geometry for mechanics: a comprehensive introduction
Vladimir Salnikov, Aziz Hamdouni, Daria Loziienko
In this paper we make an overview of results relating the recent "discoveries" in differential geometry, such as higher structures and differential graded manifolds with some natur…
Performance of Borel-Padé-Laplace integrator for the resolution of stiff and non-stiff problems
Ahmad Deeb, Aziz Hamdouni, Dina Razafindralandy
A stability analysis of the Borel-Laplace series summation technique, used as explicit time integrator, is carried out. Its numerical performance on stiff and non-stiff problems is…
A new Hodge operator in Discrete Exterior Calculus. Application to fluid mechanics
Rama Ayoub, Aziz Hamdouni, Dina Razafindralandy
This article introduces a new and general construction of discrete Hodge operator in the context of Discrete Exterior Calculus (DEC). This discrete Hodge operator enables to circum…