Order conditions for commutator-free Lie group methods

DOI10.1088/0305-4470/39/19/S15zbMath1095.65063WikidataQ115293294 ScholiaQ115293294MaRDI QIDQ5466914

Brynjulf Owren

Publication date: 22 May 2006

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

zbMATH Keywords

order conditionsstiff problemsB-seriesexponential integratorRunge-Kutta-Munthe-Kaas schemescommutator-free Lie group integrators

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) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65)

Related Items (11)

Lie group integrators for mechanical systems ⋮ High-order symplectic partitioned Lie group methods ⋮ Generalized polar coordinates on Lie groups and numerical integrators ⋮ Multirate infinitesimal step methods for atmospheric flow simulation ⋮ Commutator-free Lie group methods with minimum storage requirements and reuse of exponentials ⋮ Semi-Lagrangian Runge-Kutta exponential integrators for convection dominated problems ⋮ Non-satisfiability of a positivity condition for commutator-free exponential integrators of order higher than four ⋮ Variable step size commutator free Lie group integrators ⋮ Convergence of Lie group integrators ⋮ The Magnus expansion for stochastic differential equations ⋮ Topics in structure-preserving discretization

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