High-order symplectic Lie group methods on \(SO(n)\) using the polar decomposition
DOI10.3934/jcd.2022003OpenAlexW4214743283MaRDI QIDQ2093490
Khoa Tran, Melvin Leok, Xuefeng Shen
Publication date: 8 November 2022
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.10768
symplectic integrationrotation grouppolar decompositionvariational integratorgeometric numerical integrationLie group integrator
General theory of numerical analysis in abstract spaces (65J05) Index theory and related fixed-point theorems on manifolds (58J20) Hamilton's principle (70H25) Numerical solutions to equations with linear operators (65J10) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Fixed-point iterations (47J26)
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