SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Invited Talk

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Preserving first integrals with symmetric Lie group methods

E. Celledoni, B. Owren and H. Marthinsen

We give a short introduction to Lie group methods. A selection of applications of Lie group integrators are discussed. Finally, the notion of discrete gradient methods is generalised to Lie groups, integrators on cotangent bundles of Lie groups are also discussed. This work is based on two recent papers in collaboration with Håkon Marthinsen and Brynjulf Owren.

[1] E. Celledoni, H. Marthinsen and B. Owren, An introduction to Lie group integrators - basics, new developments and applications, arXiv:1207.0069 in press in JCP.
[2] E. Celledoni and B. Owren, Preserving first integrals with symmetric Lie group methods, arXiv:1302.4702, to appear in DCDS A.

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