Aromatic Butcher Series
Hans Z. Munthe-Kaas, Olivier Verdier
Foundations of Computational Mathematics2016
Abstract
We introduce aromatic Butcher series, an extension of classical B-series that captures volume-preserving numerical integrators. The aromatic framework adds 'aromas'—decorations on rooted trees—that encode additional geometric information about numerical methods preserving Liouville measure.
Cite this publication
@article{hanszmunthekaas2016aromatic,
author = {Hans Z. Munthe-Kaas and Olivier Verdier},
title = {Aromatic Butcher Series},
journal = {Foundations of Computational Mathematics},
year = {2016},
doi = {10.1007/s10208-015-9245-0},
eprint = {1308.5824},
archivePrefix = {arXiv}
}