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arXiv · 1611.02651

A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations

René Zander
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Abstract

We consider an Ansatz for the study of the existence of formal integrals of motion for Kahan-Hirota-Kimura discretizations. In this context, we give a combinatorial proof of the formula of Celledoni-McLachlan-Owren-Quispel for an integral of motion of the discretization in the case of cubic Hamiltonian systems on symplectic vector spaces and Poisson vector spaces with constant Poisson structure.

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René Zander. 2016-11-08. A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations. https://arxiv.org/abs/1611.02651

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