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

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

2 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)6105-6114
Journal / PublicationApplied Mathematics and Computation
Volume217
Issue number13
Online published7 Jan 2011
Publication statusPublished - 1 Mar 2011
Externally publishedYes

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