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

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

Xiaohua Ding
, Hongyu Liu^*
, Zaijiu Shang
, Geng Sun

^*Corresponding author for this work

Harbin Institute of Technology Weihai
University of California at Irvine
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	6105-6114
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	217
Issue number	13
DOIs	https://doi.org/10.1016/j.amc.2010.12.088
State	Published - 1 Mar 2011
Externally published	Yes

Keywords

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

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10.1016/j.amc.2010.12.088

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title = "Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators",

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

author = "Xiaohua Ding and Hongyu Liu and Zaijiu Shang and Geng Sun",

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T1 - Preservation of stability properties near fixed points of linear Hamiltonian systems by symplectic integrators

AU - Ding, Xiaohua

AU - Liu, Hongyu

AU - Shang, Zaijiu

AU - Sun, Geng

PY - 2011/3/1

Y1 - 2011/3/1

N2 - 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.

AB - 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.

KW - Composition method

KW - Equilibrium structure

KW - Stability

KW - Symplectic Runge-Kutta method

KW - Symplectic partitioned Runge-Kutta method

UR - https://www.scopus.com/pages/publications/79952003327

U2 - 10.1016/j.amc.2010.12.088

DO - 10.1016/j.amc.2010.12.088

M3 - 文章

AN - SCOPUS:79952003327

SN - 0096-3003

VL - 217

SP - 6105

EP - 6114

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 13

ER -

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

Abstract

Keywords

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