Lie-Butcher theory for Runge-Kutta methods
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Publication:1907876
DOI10.1007/BF01739828zbMath0841.65059MaRDI QIDQ1907876
Publication date: 13 February 1996
Published in: BIT (Search for Journal in Brave)
differentiable manifoldsLie algebrasRunge-Kutta methodsorder conditionscommutatorsintegral curves of vector fields on manifolds
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)
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Cites Work
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- On the Butcher group and general multi-value methods
- Numerical integration of ordinary differential equations on manifolds
- Unconditionally stable algorithms for rigid body dynamics that exactly preserve energy and momentum
- Coefficients for the study of Runge-Kutta integration processes
- An Algebraic Theory of Integration Methods
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