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

نویسندگان

  • Xiaohua Ding
  • Hongyu Liu
  • Zaijiu Shang
  • Geng Sun
چکیده

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.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 217  شماره 

صفحات  -

تاریخ انتشار 2011