79 citations · 638 across the 61 of their papers we have counts for
Showing 2013Show all
2 papers · 1 filter
math.NA2013★ 6 cited
Collective symplectic integrators
Robert I McLachlan, Klas Modin, Olivier Verdier
We construct symplectic integrators for Lie-Poisson systems. The integrators are standard symplectic (partitioned) Runge--Kutta methods. Their phase space is a symplectic vector sp…
math.NA2013★ 17 cited
Collective Lie-Poisson integrators on
Robert McLachlan, Klas Modin, Olivier Verdier
We develop Lie-Poisson integrators for general Hamiltonian systems on equipped with the rigid body bracket. The method uses symplectic realisation of $\mathbf{R}^{…