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Symplectic Integrators for Hamiltonian Systems: Basic Theory

Published online by Cambridge University Press:  07 August 2017

Haruo Yoshida
Haruo Yoshida*
Affiliation:
National Astronomical Observatory, Mitaka, Tokyo 181, Japan

Abstract

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Symplectic integrators are numerical integration methods for Hamiltonian systems, which conserves the symplectic 2-form exactly. With use of symplectic integrators there is no secular increase in the error of the energy because of the existence of a conserved quantity closed to the original Hamiltonian. Higher order symplectic integrators are obtained by a composition of 2nd order ones.

Keywords

Numerical integration methodSymplectic mappingConserved quantity
Type
Part VII - Dynamical Systems. Maps. Integrators
Information
Symposium - International Astronomical Union , Volume 152: Chaos, Resonance and Collective Dynamical Phenomena in the Solar System , 1992 , pp. 407 - 411
Copyright
Copyright © Kluwer 1992 

References

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