We introduce a class of methods of order two that exactly preserve the Hamiltonian function of separable Hamiltonian systems, in the case where such function is a polynomial. Although each method is a symmetric Runge--Kutta formula involving a number of internal stages, the computational cost is comparable to that of the trapezoidal method. Some numerical results are also presented.

s-stage Trapezoidal Methods for the Conservation of Hamiltonian Functions of Polynomial Type

IAVERNARO, Felice;
2007

Abstract

We introduce a class of methods of order two that exactly preserve the Hamiltonian function of separable Hamiltonian systems, in the case where such function is a polynomial. Although each method is a symmetric Runge--Kutta formula involving a number of internal stages, the computational cost is comparable to that of the trapezoidal method. Some numerical results are also presented.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11586/13134
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