Partitioned Runge--Kutta methods in Lie-group setting

DOI10.1023/A:1023668015087zbMath1022.65081OpenAlexW2487624269MaRDI QIDQ1397978

Kenth Engø-Monsen

Publication date: 6 August 2003

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1023668015087

zbMATH Keywords

numerical examplesgeometric integrationdifferential equations on manifoldssemidirect productpartitioned Runge-Kutta methodRunge-Kutta-Munthe-Kaas methodtangent bundle of Lie group

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) 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)

Related Items (8)

High-order symplectic partitioned Lie group methods ⋮ A numerical test of long-time stability for rigid body integrators ⋮ Lagrangian dynamics on matched pairs ⋮ Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators ⋮ Tulczyjew’s triplet for lie groups III: Higher order dynamics and reductions for iterated bundles ⋮ Second order Lagrangian dynamics on double cross product groups ⋮ Geometric methods and formulations in computational multibody system dynamics ⋮ An introduction to Lie group integrators - basics, new developments and applications

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