Construction of Exponentially Fitted Symplectic Runge-Kutta-Nystrom Methods from Partitioned Runge-Kutta Methods

摘要

In this work, we give the general framework for constructing trigonometrically fitted symplectic Runge-Kutta-Nystrom (RKN) methods from symplectic trigonometrically fitted partitioned Runge-Kutta (PRK) methods. We construct RKN methods from PRK methods with up to five stages and fourth algebraic order. Numerical results are given for the two-body problem and the perturbed two-body problem.