Analogues of Kahan's method for higher order equations of higher degree

DOI10.1007/978-3-030-57000-2_9zbMath1464.37068arXiv1911.03161OpenAlexW2983044621MaRDI QIDQ2658245

Gilles Reinout Willem Quispel, Andrew N. W. Hone

Publication date: 19 March 2021

Full work available at URL: https://arxiv.org/abs/1911.03161

zbMATH Keywords

discretizationsymplectic integratorKahan's method

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Rational and birational maps (14E05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Lattice dynamics; integrable lattice equations (37K60) Integrable difference and lattice equations; integrability tests (39A36) Completely integrable discrete dynamical systems (37J70)

Related Items (4)

Classification of variational multiplicative fourth-order difference equations ⋮ Birational maps from polarization and the preservation of measure and integrals ⋮ How one can repair non-integrable Kahan discretizations. II: A planar system with invariant curves of degree 6 ⋮ Detecting and determining preserved measures and integrals of birational maps

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