Polynomial map symplectic algorithm
Computational Physics
2007-05-23 v1 Accelerator Physics
Abstract
Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is analyzed in detail for the three degree of freedom case. We obtain explicit formulas for the action of the constituent polynomial maps on phase space variables.
Keywords
Cite
@article{arxiv.physics/0212098,
title = {Polynomial map symplectic algorithm},
author = {Govindan Rangarajan},
journal= {arXiv preprint arXiv:physics/0212098},
year = {2007}
}
Comments
20 pages, 1 figure