Staff profile

Dr David McLaren

Honorary Research Fellow

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Physical Sciences 2, Room 308B, Melbourne (Bundoora)

 

Qualifications

DPhil(Sussex)

Area of study

Mathematics and Statistics

Recent Publications

G.R.W. Quispel and D.I. McLaren, Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows, J. Comp. Phys. 186, 308 - 316, 2003.

D.I. McLaren and G.R.W. Quispel, Integral-preserving integrators, J. Phys. A37, L489 - L495, 2004.

G.R.W. Quispel (joint with D.I. McLaren), Integral-preserving integrators, Oberwolfach Report 14/2006, 40–42.

G.R.W. Quispel and D.I. McLaren, A new class of energy-preserving numerical integration methods, J. Phys. A41(2008), 045206 (7pp).

D.I McLaren and G.R.W. Quispel, Bootstrapping discrete-gradient integral-preserving integrators to fourth order, in: M. Daniel, S. Rajasekar (Eds.), Nonlinear Dynamics, Narosa Publishing House 2009, 157-171

E. Celledoni ,D. McLaren, R.I. McLaclan, B. Owren, G.R. Quispel, & W.Wright, Energy-preserving methods and B-series, Nordic Seminar on Computational Mechanics 21 (2008).

Elena Celledoni, Robert I. McLachlan, David I. McLaren, Brynjulf Owren, G. Reinout Quispel and William M. Wright, Energy-preserving Runge-Kutta methods,ESAIM:M2AN 43 (2009).

E. Celledoni, V. Grimm, R.I. McLachlan, D.I. McLaren, D. O'Neale, B. Owren, G.R.W. Quispel, Preserving Energy resp. dissipation in numerical PDEs using th "Average Vector Field" method, J. Comp. Phys. 231 (2012).