An introduction to Lie group integrators -- basics, new developments and applications
Numerical Analysis
2014-01-22 v2
Abstract
We give a short and elementary introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, a family of symplectic integrators on cotangent bundles of Lie groups is presented and the notion of discrete gradient methods is generalised to Lie groups.
Cite
@article{arxiv.1207.0069,
title = {An introduction to Lie group integrators -- basics, new developments and applications},
author = {Elena Celledoni and Håkon Marthinsen and Brynjulf Owren},
journal= {arXiv preprint arXiv:1207.0069},
year = {2014}
}