High-order symplectic integration: an assessment

Abstract We report tests of some new symplectic integration routines of sixth and eighth order applied to the integration of classical trajectories for a triatomic model molecule. This system has mixed regular and chaotic phase space. Especially 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 they are the most efficient ones, i.e. they need the ... Title of program: testsymp Catalogue Id: ADLZ_v1_0 Nature of problem Numerical integration of Hamiltonian systems, mainly in classical mechanics. Versions of this program held in the CPC repository in Mendeley Data ADLZ_v1_0; testsymp; 10.1016/S0010-4655(00)00011-4 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)