An Introduction to Lie Group Integrators

An Introduction to Lie Group Integrators
by E. Celledoni, H. Marthinsen, B. Owren

Publisher: arXiv 2012
Number of pages: 28

Description:
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.