Staff profile

Qualifications

• D.Phil(Susex).

Research interests

• Numerical Mathematics.

• Geometric Integrators for systems of ODE’s and PDEs.

Recent publications and presentations

• Publications:
  1. 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.
  2. 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.
  3. D.I. McLaren and G.R.W. Quispel, Integral-preserving integrators, J. Phys. A37, L489 - L495, 2004.
  4. G.R.W. Quispel (joint with D.I. McLaren), Integral-preserving integrators, Oberwolfach Report 14/2006, 40–42.
  5. D.I McLaren and G.R.W. Quispel, Bootstrapping discrete-gradient integral-preserving integrators to fourth order, submitted for publication.
  6. G.R.W. Quispel and D.I. McLaren, A new class of energy-preserving numerical integration methods J. Phys. A41 (2008), 045206 (7pp).
• Presenatations:
  1. SciCADE 2005 (Nagoya, Japan): presented talk entitled “Integral-Preserving Integrators” AMS 49th Annual Meeting 2005 (Perth, Australia): presented talk entitled “Integral-Preserving Integrators”.