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

Authors:
Elena Celledoni;Håkon Marthinsen;Brynjulf Owren
Affiliations:
Department of Mathematical Sciences, NTNU, N-7491 Trondheim, Norway;Department of Mathematical Sciences, NTNU, N-7491 Trondheim, Norway;Department of Mathematical Sciences, NTNU, N-7491 Trondheim, Norway
Venue:
Journal of Computational Physics
Year:
2014

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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.