The Universal Equivariance Properties of Exotic Aromatic B-series
Adrien Laurent, Hans Z. Munthe-Kaas
Foundations of Computational Mathematics2024
Abstract
We establish universal equivariance properties for exotic aromatic B-series, extending the classical theory of B-series to volume-preserving integrators. The results provide a complete algebraic characterization of numerical methods that preserve measure on manifolds, with applications to Hamiltonian systems and ergodic stochastic differential equations.
Cite this publication
@article{adrienlaurent2024universal,
author = {Adrien Laurent and Hans Z. Munthe-Kaas},
title = {The Universal Equivariance Properties of Exotic Aromatic B-series},
journal = {Foundations of Computational Mathematics},
year = {2024},
doi = {10.1007/s10208-024-09668-5},
eprint = {2305.10993},
archivePrefix = {arXiv}
}