An Operadic Approach to Substitution in Lie-Butcher Series
Ludwig Rahm
Forum of Mathematics, Sigma2022
Abstract
We develop an operadic framework for understanding substitution operations in Lie-Butcher series. The approach reveals deep connections between numerical analysis, operad theory, and algebraic combinatorics, providing new tools for analyzing composition of numerical integrators.
Cite this publication
@article{ludwig2022operadic,
author = {Ludwig Rahm},
title = {An Operadic Approach to Substitution in Lie-Butcher Series},
journal = {Forum of Mathematics, Sigma},
year = {2022},
doi = {10.1017/fms.2022.12},
eprint = {2103.10893},
archivePrefix = {arXiv}
}