39 citations · 312 across the 32 of their papers we have counts for
3 papers · 1 filter
Symmetry reduction for central force problems
Robert I McLachlan, Klas Modin, Olivier Verdier
We given an elementary illustration of symmetry reduction for central force problems, drawing phase portraits of the reduced dynamics as the intersection of Casimir and energy leve…
Butcher series: A story of rooted trees and numerical methods for evolution equations
Robert I McLachlan, Klas Modin, Hans Munthe-Kaas +1
Butcher series appear when Runge-Kutta methods for ordinary differential equations are expanded in power series of the step size parameter. Each term in a Butcher series consists o…
Geometry of discrete-time spin systems
Robert I. McLachlan, Klas Modin, Olivier Verdier
Classical Hamiltonian spin systems are continuous dynamical systems on the symplectic phase space . In this paper we investigate the underlying geometry of a time discreti…