High-order symplectic integration: An assessment (Q1581155)

Some new symplectic integration routines of sixth- and eighth-order, applied to the integration of classical trajectories for a triatomic model molecule, are considered. This system has mixed regular and chaotic phase space. Especialy for long-lived trajectories, which are trapped in the stochastic layers of the phase space, the eighth-order integrators are very powerful. Among a great number of integrating routines tested by the authors, these are the most efficient ones.