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Symplectic Runge-Kutta-Nyström Methods with Phase-Lag Oder 8 and Infinity |
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PP: 1105-1112 |
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Author(s) |
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Z. Kalogiratou,
Th. Monovasilis,
T. E. Simos,
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Abstract |
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| 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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