Geometrization of symplecticity conditions for implicit schemes
Symplectic Geometry
2015-12-15 v1 Mathematical Physics
math.MP
Numerical Analysis
Abstract
In this note we give simple symplecticity conditions for implicit schemes in the linear case. We consider implicit maps on generic symplectic manifold and we introduce the concept of consistent implicit maps, to generalize the symplecticity conditions to symplectic manifolds. Additionally, we give a preliminary geometrical interpretation of those conditions.
Keywords
Cite
@article{arxiv.1512.04049,
title = {Geometrization of symplecticity conditions for implicit schemes},
author = {Hugo Jiménez-Pérez},
journal= {arXiv preprint arXiv:1512.04049},
year = {2015}
}
Comments
11 pages