Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators

Details Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators

2001-11-21

arxiv.org/abs/hep-th/0111185v1

J.Math.Phys. 44 (2003) 1688-1702

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 0 figures

Scientific paper

10.1063/1.1559642

We present a discrete total variation calculus in Hamiltonian formalism in this paper. Using this discrete variation calculus and generating functions for the flows of Hamiltonian systems, we derive two-step symplectic-energy integrators of any finite order for Hamiltonian systems from a variational perspective. The relationship between symplectic integrators derived directly from the Hamiltonian systems and the variationally derived symplectic-energy integrators is explored.

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