Runge-Kutta methods adapted to manifolds and based on rigid frames

DOI10.1023/A:1022325426017zbMath0919.65049OpenAlexW1555233889MaRDI QIDQ1283253

Brynjulf Owren, Arne Marthinsen

Publication date: 23 August 1999

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022325426017

zbMATH Keywords

numerical examplesRunge-Kutta methodsdifferential equations on Lie groupsfourth order methodLie seriesdifferential equation on manifoldssemiexplicit methodsspinning top

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Free motion of a rigid body (70E15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical systems and ergodic theory (37-XX)

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