Convergence of Lie group integrators
Numerical Analysis
2020-01-31 v2 Differential Geometry
Abstract
We relate two notions of local error for integration schemes on Riemannian homogeneous spaces, and show how to derive global error estimates from such local bounds. In doing so, we prove for the first time that the Lie-Butcher theory of Lie group integrators leads to global error estimates.
Keywords
Cite
@article{arxiv.1807.11829,
title = {Convergence of Lie group integrators},
author = {Charles Curry and Alexander Schmeding},
journal= {arXiv preprint arXiv:1807.11829},
year = {2020}
}
Comments
18 pages, uses TikZ, v2: corrected typos and minor errors, main results remain unchanged