Prof. Gabriel Lord
Director of Research and Knowledge Transfer
School of Mathematical & Computer Sciences; Mathematics
- School of Mathematical & Computer Sciences; Mathematics
- Heriot-Watt University
- EH14 4AS
- United Kingdom
Roles and responsibilities
My research interests are in the area of applied computational mathematics. I am interested in developing efficient numerical techniques to simulate systems numerically on a computer and in proving convergence of these methods. Much of my recent work has looked at the role of noise in systems and how this can be simulated and methods for reducing uncertainty and hence obtain better predictions.
I am interested in the efficient simulation of porous media flows - such as contamination of ground water or modelling of underground reservoirs, eg relevant to petroleum. These models are typically stochastic PDEs with advection diffusion and reaction terms. I also research in computational neuroscience looking at models at the single neuron scale - these might be a mix of stochastic PDEs and stochastic ODEs. I am also interested in models of neural fields- these are typically time dependent integral equations.
- Book : Stochastic Methods in Neuroscience. OUP. Edited by C. Laing and G. J. Lord
- P. E. Kloeden, G.J. Lord, A. Neuenkirch, T. Shardlow.The exponential integrator scheme for stochastic partial differentialequations: Pathwise error bounds Journal of Computational and Applied Mathematics Volume 235, Issue 5, 1 January 2011, Pages 1245-1260doi:10.1016/j.cam.2010.08.011
- A. Tambue,G. J. Lord and S. Geiger. An exponential integrator for advection-dominated reactive transport in heterogeneous porous media Journal of Computational Physics
- J. Horak, G. J. Lord, M. A. Peletier Numerical variational methods applied to cylinder buckling , SIAM J. Sci Comp. March 2008. DOI 10.1137/060675241
- M Grinfeld and G J Lord Bifurcations in the regularized Ericksen bar model J. of Elasticity, Feb 2008. DOI 10.1007/s10659-007-9137-x
- Online papers and preprints
I obtained my PhD from Bath university where I worked with Prof Andrew Stuart on the dynamics of numerical methods for initial value problems. After my PhD I had a post-doc position at Bristol university working on localized solutions and cylinder buckling.
I worked in industry for three years at the National Physical Laboratory where there is a great interest in noise an uncertainty in measurements. I returned to academia and started at Heriot-Watt in 2000.
I am always keen to work with graduate students interested in numerical methods, dynamical systems, stochastics and applications of mathematics in particular related to porous flow or mathematical neuroscience but also other areas of applied mathematics.