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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 09 > No. 3


Symplectic Runge-Kutta-Nyström Methods with Phase-Lag Oder 8 and Infinity

PP: 1105-1112
Z. Kalogiratou, Th. Monovasilis, T. E. Simos,
In this work we consider Symplectic Runge Kutta Nystršom methods with five stages. A new fourth algebraic order method with phase-lag order eight is presented. Also the symplectic Runge Kutta Nystršom 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 Schršodinger Equation.

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