13 citations · 15 across the 3 of their papers we have counts for
Showing 2018Show all
2 papers · 1 filter
nlin.SI2018
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation
Peter H. van der Kamp, Elena Celledoni, Robert I. McLachlan +3
We apply Kahan's discretisation method to three classes of 2-dimensional quadratic vector fields with quadratic, resp cubic, resp quartic Hamiltonians. We show that the maps obtain…
physics.comp-ph2018
A novel approach to rigid spheroid models in viscous flows using operator splitting methods
Benjamin Tapley, Elena Celledoni, Brynjulf Owren +1
Calculating cost-effective solutions to particle dynamics in viscous flows is an important problem in many areas of industry and nature. We implement a second-order symmetric split…