88 citations · 90 across the 3 of their papers we have counts for
3 papers
math.NA2014★ 2 cited
Geometric integration of non-autonomous Hamiltonian problems
Håkon Marthinsen, Brynjulf Owren
Symplectic integration of autonomous Hamiltonian systems is a well-known field of study in geometric numerical integration, but for non-autonomous systems the situation is less cle…
math.NA2013
High order symplectic partitioned Lie group methods
Geir Bogfjellmo, Håkon Marthinsen
In this article, a unified approach to obtain symplectic integrators on T*G from Lie group integrators on a Lie group G is presented. The approach is worked out in detail for sympl…
math.NA2012★ 88 cited
An introduction to Lie group integrators -- basics, new developments and applications
Elena Celledoni, Håkon Marthinsen, Brynjulf Owren
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…