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math.NA2023★ 5 cited
The Lie derivative and Noether's theorem on the aromatic bicomplex for the study of volume-preserving numerical integrators
Adrien Laurent
The aromatic bicomplex is an algebraic tool based on aromatic Butcher trees and used in particular for the explicit description of volume-preserving affine-equivariant numerical in…
math.NA2023★ 5 cited
The universal equivariance properties of exotic aromatic B-series
Adrien Laurent, Hans Munthe-Kaas
The exotic aromatic Butcher series were originally introduced for the calculation of order conditions for the high order numerical integration of ergodic stochastic differential eq…