An introduction to Lie group integrators -- basics, new developments and   applications
  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. 
Elena Celledoni, H{\aa}kon Marthinsen, Brynjulf Owren
math.NA