Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators

Jing-Bo Chen; Han-Ying Guo; Ke Wu

doi:10.1063/1.1559642

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arXiv · hep-th/0111185

Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators

Jing-Bo Chen·Han-Ying Guo·Ke Wu

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Abstract

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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Jing-Bo Chen, Han-Ying Guo, Ke Wu. 2001-11-21. Total Variation in Hamiltonian Formalism and Symplectic-Energy integrators. https://doi.org/10.1063/1.1559642

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