596 citations
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Showing 2013 · math.NAShow all
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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}^{…