activity
20102026
most citedPreserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method

303 citations · 796 across the 37 of their papers we have counts for

collaborators
Showing 2017Show all

2 papers · 1 filter

math.NA2017

Variable stepsize commutator free Lie group integrators

Charles Curry, Brynjulf Owren

We introduce variable stepsize commutator free Lie group integrators, where the error control is achieved using embedded Runge-Kutta pairs.

math.NA2017★ 6 cited

Two classes of quadratic vector fields for which the Kahan discretization is integrable

Elena Celledoni, Robert I. McLachlan, David I. McLaren +2

Applying Kahan's discretization to the reduced Nahm equations, we obtain two classes of integrable mappings.