Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials

DOI10.1007/s10543-021-00892-xzbMath1502.65042arXiv2007.04225OpenAlexW3197293421WikidataQ115384175 ScholiaQ115384175MaRDI QIDQ2162718

Alexei Bazavov

Publication date: 9 August 2022

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.04225

zbMATH Keywords

Runge-Kutta methodsgeometric integrationLie group methodsstructure-preserving integrators

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Ordinary differential equations and systems on manifolds (34C40) 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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Uses Software

• DiffMan
• GitHub

Cites Work

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• DiffMan: An object-oriented MATLAB toolbox for solving differential equations on manifolds