Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems

LI Wen-cheng; DENG Zi-chen

Volume 29 Issue 9

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LI Wen-cheng, DENG Zi-chen. Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1009-1016.

Citation:

LI Wen-cheng, DENG Zi-chen. Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1009-1016.

Citation:

LI Wen-cheng, DENG Zi-chen. Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1009-1016.

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Adaptive Explicit Magnus Numerical Method for Nonlinear Dynamical Systems

LI Wen-cheng¹,
DENG Zi-chen^2,3

1.
School of Science, Northwestern Polytechnical University, Xi'an 710072, P. R. China;

Received Date: 2008-01-24
Rev Recd Date: 2008-07-25
Publish Date: 2008-09-15

Abstract

Abstract

Based on the new explicit Magnus expansion developed for nonlinear equation defined on matrix Lie group, an efficient numerical method was suggested for nonlinear dynamical system. To improve the computational efficiency, the integration step size can be controlled self adaptively. The validity and effectiveness of the method were proved by application to several nonlinear dynamical systems, including Duffing system, Van der Pol system with strong stiffness, and nonlinear Hamiltonian pendulum system.
- nonlinear dynamical system,
- Hamiltonian system,
- numerical integrator,
- step size control

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References(11)

References

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