On the construction of geometric integrators in the RKMK class

DOI10.1023/A:1022362117414zbMath0955.65047MaRDI QIDQ1569882

Kenth Engø-Monsen

Publication date: 14 February 2001

Published in: BIT (Search for Journal in Brave)

zbMATH Keywords

homogeneous spacesnumerical examplesordinary differential equationsLie algebraPadé approximationsequivarianceinfinitesimal generatorsCayley transformLie group actionsRunge-Kutta-Munthe-Kaas methodscoordinates

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Lie algebras of Lie groups (22E60) Simulation of dynamical systems (37M05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

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