303 citations · 612 across the 16 of their papers we have counts for
Showing 1998Show all
2 papers · 1 filter
math.NA1998
Numerical integrators that contract volume
Robert I McLachlan, G R W Quispel
We study numerical integrators that contract phase space volume even when the ODE does so at an arbitrarily small rate. This is done by a splitting into two-dimensional contractive…
math-ph1998★ 103 cited
A unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions and/or first integrals
Robert I McLachlan, GRW Quispel, Nicolas Robidoux
Systems with a first integral (i.e., constant of motion) or a Lyapunov function can be written as ``linear-gradient systems'' for an appropriate matrix fu…