Algebraic structure of aromatic B-series

2015/05/08 by Bogfjellmo, Geir · 1 citation
#16T05 #37C10 #41A58 #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1505.01973

Abstract

Aromatic B-series are a generalization of B-series. Some of the operations defined for B-series can be defined analogically for aromatic B-series. This paper derives combinatorial formulas for the composition and substitution laws for aromatic B-series.

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• Post-Hopf algebroids, post-Lie-Rinehart algebras and geometric numerical integration

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