Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators

Xiaohua Ding; Hongyu Liu; Zaijiu Shang; Geng Sun

doi:10.1016/j.amc.2010.12.088

Author(s)

Xiaohua Ding
Hongyu Liu
Zaijiu Shang
Geng Sun

Detail(s)

Original language	English
Pages (from-to)	6105-6114
Journal / Publication	Applied Mathematics and Computation
Volume	217
Issue number	13
Online published	7 Jan 2011
Publication status	Published - 1 Mar 2011
Externally published	Yes

Link(s)

DOI	DOI https://doi.org/10.1016/j.amc.2010.12.088 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-79952003327&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(73e00ef1-0d14-4174-8206-190353ef1554).html

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. © 2010 Elsevier Inc. All rights reserved.

Research Area(s)

Composition method, Equilibrium structure, Stability, Symplectic partitioned Runge-Kutta method, Symplectic Runge-Kutta method

Citation Format(s)

[ RIS ] [ BibTeX ]

Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators. / Ding, Xiaohua; Liu, Hongyu; Shang, Zaijiu; Sun, Geng.

In: Applied Mathematics and Computation, Vol. 217, No. 13, 01.03.2011, p. 6105-6114.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Ding, X, Liu, H, Shang, Z & Sun, G 2011, 'Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators', Applied Mathematics and Computation, vol. 217, no. 13, pp. 6105-6114. https://doi.org/10.1016/j.amc.2010.12.088

Ding, X., Liu, H., Shang, Z., & Sun, G. (2011). Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators. Applied Mathematics and Computation, 217(13), 6105-6114. https://doi.org/10.1016/j.amc.2010.12.088

Ding X, Liu H, Shang Z, Sun G. Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators. Applied Mathematics and Computation. 2011 Mar 1;217(13):6105-6114. https://doi.org/10.1016/j.amc.2010.12.088

Ding, Xiaohua ; Liu, Hongyu ; Shang, Zaijiu ; Sun, Geng. / Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators. In: Applied Mathematics and Computation. 2011 ; Vol. 217, No. 13. pp. 6105-6114.