10 citations · 10 across the 2 of their papers we have counts for
2 papers
math.NA2023
Numerical Methods in Poisson Geometry and their Application to Mechanics
Oscar Cosserat, Camille Laurent-Gengoux, Vladimir Salnikov
We recall the question of geometric integrators in the context of Poisson geometry, and explain their construction. These Poisson integrators are tested in some mechanical examples…
math.DG2021★ 10 cited
On Dirac structures admitting a variational approach
Oscar Cosserat, Camille Laurent-Gengoux, Alexei Kotov +2
We discuss the notion of basic cohomology for Dirac structures and, more generally, Lie algebroids. We then use this notion to characterize the obstruction to a variational formula…