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symplectic mapping

Symposium - International Astronomical Union (1)

International Astronomical Union (1)

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Symplectic Integrators for Hamiltonian Systems: Basic Theory
Haruo Yoshida
Journal:

Symposium - International Astronomical Union / Volume 152 / 1992

Published online by Cambridge University Press:

07 August 2017, pp. 407-411

Print publication:

1992
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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.