The Magnus expansion and post-Lie algebras

DOI10.1090/mcom/3541zbMath1450.34015arXiv1808.04156OpenAlexW2887952706MaRDI QIDQ5118853

Kurusch Ebrahimi-Fard, Brynjulf Owren, Charles Curry

Publication date: 27 August 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04156

zbMATH Keywords

Magnus expansionpre-Lie algebrapost-Lie algebraLie group integration

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Geometric methods in ordinary differential equations (34A26) Symmetries, invariants of ordinary differential equations (34C14) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Nonautonomous smooth dynamical systems (37C60)

Related Items (6)

Post-Lie Magnus expansion and BCH-recursion ⋮ Post-Lie algebras in Regularity Structures ⋮ Free post-groups, post-groups from group actions, and post-Lie algebras ⋮ Post-Hopf algebras, relative Rota-Baxter operators and solutions to the Yang-Baxter equation ⋮ Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ 3-post-Lie algebras and relative Rota-Baxter operators of nonzero weight on 3-Lie algebras

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