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arXiv · 2211.16144

Mid-point embedding of Hamiltonian systems and variational integrators

Jacky Cresson·Rouba Safi
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Abstract

Following the discrete embedding formalism, we give a new derivation of the mid-point variational integrators as developed by J.M. Wendlandt and J.E. Marsden by defining an adapted order two discrete differential and integral calculus. This allows us to obtain a clearer correspondence between the discrete and continuous case. We also discuss the corresponding definition of a discrete Hamiltonian system. A complete comparaison with the results of J.M. Wendlandt and J.E. Marsden is provided.

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Jacky Cresson, Rouba Safi. 2022-11-29. Mid-point embedding of Hamiltonian systems and variational integrators. https://arxiv.org/abs/2211.16144

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