Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators
Numerical Analysis
2008-02-18 v1
Abstract
Based on reasonable testing model problems, we study the preservation by symplectic Runge-Kutta method (SRK) and symplectic partitioned Runge-Kutta method (SPRK) of structures for fixed points of linear Hamiltonian systems. The structure-preservation region provides a practical criterion for choosing step-size in symplectic computation. Examples are given to justify the investigation.
Keywords
Cite
@article{arxiv.0802.2121,
title = {Preservation of stability properties near fixed points of linear hamiltonian systems by symplectic integrators},
author = {Xiaohua Ding and Hongyu Liu and Zaijiu Shang and Geng Sun and Lingshu Wang},
journal= {arXiv preprint arXiv:0802.2121},
year = {2008}
}