What is a post-Lie algebra and why is it useful in geometric integration
arXiv:1712.0941520 citationsh-index: 28
Originality Incremental advance
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Provides a new algebraic foundation for geometric integration, benefiting researchers in numerical analysis and differential geometry.
The paper introduces post-Lie algebras and demonstrates their utility in constructing Lie group integrators for differential equations on homogeneous spaces, providing a unified algebraic framework for existing methods.
We explain the notion of a post-Lie algebra and outline its role in the theory of Lie group integrators.