Numerical Methods in Poisson Geometry and their Application to Mechanics
Numerical Analysis
2023-03-29 v1 Numerical Analysis
Mathematical Physics
Classical Analysis and ODEs
Dynamical Systems
math.MP
Symplectic Geometry
Abstract
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. Their properties are illustrated numerically and they are compared to traditional methods.
Keywords
Cite
@article{arxiv.2303.15883,
title = {Numerical Methods in Poisson Geometry and their Application to Mechanics},
author = {Oscar Cosserat and Camille Laurent-Gengoux and Vladimir Salnikov},
journal= {arXiv preprint arXiv:2303.15883},
year = {2023}
}