General Research Interests


 * I am a member of the Numerical Analysis and Scientific Computing group at Strathclyde.


My research interests include

 * iterative solution of large sparse linear systems

 * numerical solution of partial differential equations

 * numerical modelling of liquid crystals

 * finite element methods

 * computational fluid dynamics.


 * I am a co-developer of the Incompressible Flow and Iterative Solver Software (IFISS) toolbox for modelling incompressible flow (with Howard Elman (University of Maryland) and David Silvester (University of Manchester)).
Click here (US) or here (UK) to learn more.



Some Research Projects

 * Efficient Computational Methods for Large-scale Data Assimilation Problems
Funding: EPSRC DTG
Duration: 10/11 - 05/15
Collaborators: Graham Copeland, Igor Gejadze, Kirsty Brown (University of Strathclyde)

 * IFISS: A Matlab Toolbox for Modelling Incompressible Flow
Duration: 01/99 -
Collaborators: Howard Elman (University of Maryland) and David Silvester (University of Manchester)
Click here (US) or here (UK) to download the software.

 * Preconditioning for radial basis function approximation
Duration: 04/11 -
Collaborators: Elisabeth Larsson, Lina von Sydow (Uppsala University), Alfa Heryudono, University of Massachusetts Dartmouth.

 * Adaptive Methods for Q-Tensor Liquid Crystal Models
Funding: EPSRC CASE Studentship
Duration: 10/10 - 03/14
Collaborators: Chris Newton ( Hewlett Packard Labs, Bristol), John Mackenzie, Craig MacDonald (University of Strathclyde)

 * Fast Iterative Solvers in Geomechanics

Funding: University of Strathclyde Collaborative Training Account, KTN/EPSRC CASE Studentship
Duration: 05/08 - 03/14
Collaborators: Charles Augarde (University of Durham), Carol Matthews (Oasys Limited, Newcastle-upon-Tyne), Paul Smith, Youliang Zhang (University of Strathclyde)

 * Saddle-point Problems in Liquid Crystal Modelling
Duration: 06/06 -
Collaborators: Chuck Gartland (Kent State University)

 * Computing Posterior Covariance Matrices in Large-scale Variational Data Assimilation Problems
Funding: Bridging the Gap programme
Duration: 04/09 - 03/10
Collaborators: Igor Gejadze (University of Strathclyde)

 * Preconditioning in option pricing
Funding: Uppsala University
Duration: 02/02 - 07/10
Collaborators: Lina von Sydow (Uppsala University)

 * Adaptive Numerical Methods for Optoelectronic Devices
Funding: EPSRC
Duration: 04/07 - 11/10
Collaborators: Chris Newton ( Hewlett Packard Labs, Bristol), Mark Ainsworth , Nigel Mottram (University of Strathclyde)

 * Adaptive Methods for Liquid Crystal Device Modelling
Funding: EPSRC Springboard Fellowship
Duration: 10/05 - 09/06
Collaborators: Chris Newton ( Hewlett Packard Labs, Bristol)

 * Computational Fluid Dynamics for Nematic Liquid Crystals
Collaborators: André Sonnet (University of Strathclyde)

 * Parametric Studies of Multiple Tunnels using the National HPC Resources
Funding: EPSRC
Duration: 11/03 - 11/05
Collaborators: Charles Augarde, Boyan Lazarov, Gareth Bird (University of Durham).

 * Preconditioners for Finite Element Modelling of Soil-Structure Interaction Problems
Funding: EPSRC (CEM Initiative)
Duration: 10/02 - 10/05
Collaborators: Charles Augarde, Jochen Staudacher (University of Durham).

 * An Investigation of Defects in Liquid Crystals
Funding: EPSRC
Duration: 10/01 - 10/04
Collaborators: Nigel Mottram and Gavin Kelly (University of Strathclyde)

 * Iterative Methods for Flow Problems
Funding: Leverhulme Trust
Duration: 9/99 - 9/00
Collaborators: Howard Elman (University of Maryland)

 * Adaptive Methods for Computational Solution of PDEs
Funding: EPSRC
Duration: 11/98 - 10/01
Collaborators: David Sloan, John Mackenzie, George Beckett (University of Strathclyde)

 * Implicit Solution of Hyperbolic PDEs with Space-Time Adaptivity
Funding: Swedish Research Council for Engineering Sciences
Duration: 08/98 - 04/01
Collaborators: Lina Hemmingsson-Frändén, Per Lötstedt and Stefan Söderberg, (Uppsala University)

 * Numerical Analysis of Convection-Diffusion Problems
Funding: NATO Collaborative Research Grant CRG 960782
Duration: 06/96 - 07/98
Collaborators: Howard Elman (University of Maryland), Bernd Fischer (Medical University of Luebeck), Gene Golub (Stanford University), David Silvester (UMIST) and Andy Wathen (University of Oxford)

 * Analysis of Iterative Methods for Indefinite Linear Systems
Funding: British Council for British/German Academic Exchange Service Research Collaboration Project 465
Duration: 06/93 - 06/96
Collaborators: Bernd Fischer (Medical University of Luebeck), David Silvester (UMIST) and Andy Wathen (University of Oxford)

 * High Performance Iterative Solvers
Funding: Nuclear Electric plc
Duration: 04/93 - 04/94
Collaborators: FEAT group, Nuclear Electric plc


Career Summary

From 1977-1983 I was a pupil at Alva Academy.

From 1983-1987 I was an undergraduate student in the University of St Andrews Mathematics department.

From 1987-1990 I was a postgraduate student in the University of Bristol Mathematics department, working under the supervision of Andy Wathen on my PhD thesis Preconditioned Conjugate Gradient Methods for Galerkin Finite Element Equations.

From 1990-1993 I was a research assistant in the University of Bristol Mathematics department, working on the project Iterative Solution Techniques for Finite Element based CFD which was jointly funded by Nuclear Electric plc and EPSRC.


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