Anomaly in Symplectic Integrator
Mathematical Physics
2009-11-13 v1 math.MP
Abstract
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.
Cite
@article{arxiv.0705.4523,
title = {Anomaly in Symplectic Integrator},
author = {Hiroto Kobayashi},
journal= {arXiv preprint arXiv:0705.4523},
year = {2009}
}