Symplectic Integration of Hamiltonian Systems using Polynomial Maps
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
In order to perform numerical studies of long-term stability in nonlinear Hamiltonian systems, one needs a numerical integration algorithm which is symplectic. Further, this algorithm should be fast and accurate. In this paper, we propose such a symplectic integration algorithm using polynomial map refactorization of the symplectic map representing the Hamiltonian system. This method should be particularly useful in long-term stability studies of particle storage rings in accelerators.
Keywords
Cite
@article{arxiv.nlin/0106033,
title = {Symplectic Integration of Hamiltonian Systems using Polynomial Maps},
author = {Govindan Rangarajan},
journal= {arXiv preprint arXiv:nlin/0106033},
year = {2009}
}
Comments
10 pages, 1 figure