A time-parallel algorithm for almost integrable Hamiltonian systems
Numerical Analysis
2011-06-21 v1 Numerical Analysis
Abstract
We introduce a time-parallel algorithm for solving numerically almost integrable Hamiltonian systems in action-angle coordinates. This algorithm is a refinement of that introduced by Saha, Stadel and Tremaine in 1997 (SST97) for the same type of problems. Our refined algorithm has a better convergence obtained from the use of derivatives of the perturbing term not considered in the original SST97 algorithm. An advantage of this algorithm is its independence of the step-size for the parallelized procedures which can be consider as a particular case of the parareal scheme.
Keywords
Cite
@article{arxiv.1106.3694,
title = {A time-parallel algorithm for almost integrable Hamiltonian systems},
author = {Hugo Jiménez-Pérez and Jacques Laskar},
journal= {arXiv preprint arXiv:1106.3694},
year = {2011}
}
Comments
19 pages, 6 figures