High-order symplectic Lie group methods on $SO(n)$ using the polar decomposition
DOI10.3934/JCD.2022003zbMath1511.37101arXiv2201.10768MaRDI QIDQ6389220
Xuefeng Shen, Melvin Leok, Khoa Tran
Publication date: 26 January 2022
General theory of numerical analysis in abstract spaces (65J05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) 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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