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arxiv: 1207.0069 · v2 · pith:O3JPUZ52new · submitted 2012-06-30 · 🧮 math.NA

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

classification 🧮 math.NA
keywords groupintegratorsapplicationsgroupsintroductionmethodsbasicsbundles
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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.

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