What is a post-Lie algebra and why is it useful in geometric integration
Charles Curry, Kurusch Ebrahimi-Fard, Hans Munthe-Kaas
TL;DR
This paper introduces the concept of post-Lie algebras and explains their significance in the development of Lie group integrators for geometric numerical methods.
Contribution
It clarifies the definition of post-Lie algebras and highlights their application in geometric integration techniques.
Findings
Post-Lie algebras provide a framework for Lie group integrators.
They facilitate the development of structure-preserving numerical methods.
The paper elucidates the theoretical foundation of post-Lie algebras in geometric integration.
Abstract
We explain the notion of a post-Lie algebra and outline its role in the theory of Lie group integrators.
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