A fourth order modified trigonometrically fitted symplectic Runge-Kutta-Nystrom method

作者：Kalogiratou Z; Monovasilis Th; Simos T E^*

来源：Computer Physics Communications, 2014, 185(12): 3151-3155.

DOI：10.1016/j.cpc.2014.08.013

• Runge Kutta Nystrom methods
• Symplectic methods
• Hamiltonian systems
• Exponential fitting

In this work we construct a modified trigonometrically fitted symplectic Runge Kutta Nystrom method based on the fourth order five stages method of Calvo and Sanz-Serna (1994). We apply the new method on the numerical integration of the two-dimensional harmonic oscillator, the two-body problem, a perturbed two-body problem and two two-dimensional nonlinear oscillatory Hamiltonian systems.

• 出版日期2014-12