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;
2007-01-01
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.File in questo prodotto:
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