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A combinatorial approach to integrals of Kahan-Hirota-Kimura discretizations
- Publication Year :
- 2016
-
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.
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1611.02651
- Document Type :
- Working Paper