Anomaly in Symplectic Integrator

Details Anomaly in Symplectic Integrator Anomaly in Symplectic Integrator

2007-05-31

arxiv.org/abs/0705.4523v1

Physics

Mathematical Physics

6 pages, no figure

Scientific paper

10.1016/j.physleta.2007.06.037

Effective Liouville operators of the first- and the second-order symplectic
integrators are obtained for the one-dimensional harmonic-oscillator system.
The operators are defined only when the time step is less than two. Absolute
values of the coordinate and the momentum monotonically increase for large time
steps.

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