Geometric properties of Kahan's method

DOI10.1088/1751-8113/46/2/025201zbMath1278.65192arXiv1209.1164OpenAlexW2061788616MaRDI QIDQ4920361

Elena Celledoni, Brynjulf Owren, Robert I. Mclachlan, Gilles Reinout Willem Quispel

Publication date: 17 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.1164

zbMATH Keywords

invariant measureRunge-Kutta methodHamilton equationsKahan's methodintegrable rational mapping

Mathematics Subject Classification ID

Hamilton's equations (70H05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

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