Anomaly in Symplectic Integrator
arXiv:0705.4523 · doi:10.1016/j.physleta.2007.06.037
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.
6 pages, no figure