Eighth-order Explicit Symplectic Runge-kutta-nystrr Om Integrators
نویسندگان
چکیده
We consider the solution of Hamiltonian dynamical systems by constructing eighth-order explicit symplectic Runge-Kutta-Nystrr om integrators. The application of high-order integrators may be important in areas such as in astronomy. They require large number of function evaluations, which make them computationally expensive and easily susceptible to errors. The integrators developed in this paper require 17 function evaluations as opposed to the 26-stage (eeectively 24) eighth-order explicit symplec-tic Runge-Kutta-Nystrr om method derived by Calvo and Sanz-Serna. Numerical tests using the 2-Body and the sine-Gordon problems indicate that our methods are comparable to that of Calvo and Sanz-Serna and Yoshida.
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