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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1016/0025-5416(68)90054-2

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0945-3245

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A new class of symplectic integration schemes base

Authors: J Makazaga A Murua
Publish Date: 2009/07/11
Volume: 113, Issue: 4, Pages: 631-642
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Abstract

We present a new family of onestep symplectic integration schemes for Hamiltonian systems of the general form dot y=J1nabla HyT Such a class of methods contains as particular cases the methods of Miesbach and Pesch Numer Math 61501–521 1992 and also the family of symplectic RungeKutta methods As in the case of the methods introduced in Miesbach and Pesch Numer Math 61501–521 1992 the new integration methods are constructed by defining a generating function which automatically determines a symplectic map The resulting methods are implicit and require the evaluation of the gradient of the Hamiltonian function as well as the Hessian times a vector

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