An introduction to Lie group integrators -- basics, new developments and applications

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.

References in corpus (1)

• The Magnus expansion and some of its applications

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