Symplectic Runge-Kutta-Nyström Methods with Phase-Lag Oder 8 and Infinity
نویسنده
چکیده
In this work we consider Symplectic Runge Kutta Nyström methods with five stages. A new fourth algebraic order method with phase-lag order eight is presented. Also the symplectic Runge Kutta Nyström of Calvo and Sanz Serna with five stages and fourth order is modified to produce a phase-fitted method. We apply the new methods on several Hamiltonian systems and on the computation of the eigenvalues of the Schrödinger Equation.
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