Adaptive explicit Magnus numerical method for nonlinear dynamical systems

Wen Cheng Li, Zi Chen Deng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Based on the new explicit Magnus expansion developed for nonlinear equations defined on a matrix Lie group, an efficient numerical method is proposed for nonlinear dynamical systems. To improve computational efficiency, the integration step size can be adaptively controlled. Validity and effectiveness of the method are shown by application to several nonlinear dynamical systems including the Duffing system, the van der Pol system with strong stiffness, and the nonlinear Hamiltonian pendulum system.

Original languageEnglish
Pages (from-to)1111-1118
Number of pages8
JournalApplied Mathematics and Mechanics (English Edition)
Volume29
Issue number9
DOIs
StatePublished - Sep 2008

Keywords

  • Hamiltonian system
  • Nonlinear dynamical system
  • Numerical integrator
  • Step size control

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