Fourth order symplectic integration with reduced phase error
In this paper we introduce a symplectic explicit RKN method for Hamiltonian systems with periodical solutions. The method has algebraic order four and phase-lag order six at a cost of four function evaluations per step. Numerical experiments show the relevance of the developed algorithm. It is found that the new method is much more efficient than the standard symplectic fourth-order method.
symplectic integration hamiltonian systems runge-kutta-nystrom methods oscillating solutions phase-lag analysis