Using aromas to search for preserved measures and integrals in Kahan’s method

DOI10.1090/mcom/3921arXiv2209.01094OpenAlexW4387940413MaRDI QIDQ6129001

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

Publication date: 16 April 2024

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2209.01094

zbMATH Keywords

integrabilitytreesDarboux polynomialsB-series methodsaromatic treespreservation of integrals and measures

Mathematics Subject Classification ID

Trees (05C05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

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