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Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods. (English) Zbl 1086.65120
Summary: Symplecticity conditions easy to handle for constructing symplectic Runge-Kutta-Nyström methods fitted to trigonometric functions are given. These conditions generalize that of {\it Yu. B. Suris} [Zh. Vychisl. Mat. Mat. Fiz. 29, No. 2, 202--211 (1989; Zbl 0686.65039)] when the frequencies tends to zero.

##### MSC:
 65P10 Numerical methods for Hamiltonian systems including symplectic integrators 37M15 Symplectic integrators (dynamical systems) 65L06 Multistep, Runge-Kutta, and extrapolation methods 34A26 Geometric methods in differential equations 34A34 Nonlinear ODE and systems, general 65L05 Initial value problems for ODE (numerical methods)
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##### References:
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