Symplectic Partitioned Runge-Kutta methods with minimal phase-lag
Symplectic Partitioned Runge-Kutta (SPRK) methods with minimal phase-lag are derived. Specifically two new symplectic methods are constructed of second and third order with fifth phase-lag order. The methods are tested on the numerical integration of Hamiltonian problems and the Schrodinger equation. (C) 2010 Elsevier B.V. All rights reserved.
symplectic partitioned runge-kutta methods phase-lag hamiltonian problems schrodinger equation