Lie-Butcher Series, Geometry, Algebra and Computation
Hans Z. Munthe-Kaas, Kristoffer K. Føllesdal
Discrete Mechanics, Geometric Integration and Lie-Butcher Series (Springer)2018
Abstract
A comprehensive survey of Lie-Butcher series theory, presenting the geometric and algebraic foundations of numerical Lie group integrators. The paper covers the combinatorics of rooted trees, Hopf algebra structures, and their applications to the analysis of numerical methods on manifolds.
Cite this publication
@article{hanszmunthekaas2018liebutcher,
author = {Hans Z. Munthe-Kaas and Kristoffer K. Føllesdal},
title = {Lie-Butcher Series, Geometry, Algebra and Computation},
journal = {Discrete Mechanics, Geometric Integration and Lie-Butcher Series (Springer)},
year = {2018},
doi = {10.1007/978-3-030-01397-4_3}
}