12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.NA2025
Some stability properties of Hamiltonian Poisson integrators
Oscar Cosserat
Hamiltonian Poisson integrators are Poisson integrators that admit a modified Hamiltonian. In this article, we illustrate the importance of the existence of a modified Hamiltonian…
math.DG2025
Butcher series for Hamiltonian Poisson integrators through symplectic groupoids
Adrien Busnot Laurent, Oscar Cosserat
We exhibit a new pre-Lie algebra in the framework of symplectic groupoids and, in turn, introduce a pre-Lie formalism of Butcher trees for the approximation of Hamilton-Jacobi solu…
math.DG2022★ 12 cited
Symplectic Groupoids for Poisson Integrators
Oscar Cosserat
We use local symplectic Lie groupoids to construct Poisson integrators for generic Poisson structures. More precisely, recursively obtained solutions of a Hamilton-Jacobi-like equa…