79 citations · 638 across the 61 of their papers we have counts for
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B-series methods are exactly the affine equivariant methods
Robert I. McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series, also called B-series, are a type of expansion, fundamental in the analysis of numerical integration. Numerical methods that can be expanded in B-series are defined…
Symplectic integrators for spin systems
Robert I. McLachlan, Klas Modin, Olivier Verdier
We present a symplectic integrator, based on the canonical midpoint rule, for classical spin systems in which each spin is a unit vector in . Unlike splitting methods…
A minimal-variable symplectic integrator on spheres
Robert I. McLachlan, Klas Modin, Olivier Verdier
We construct a symplectic, globally defined, minimal-coordinate, equivariant integrator on products of 2-spheres. Examples of corresponding Hamiltonian systems, called spin systems…