I work on the application and analysis of numerical/computational schemes for partial differential equations. Of major interest is the development of reliable, practical and efficient finite element schemes for modelling mathematical models arising from physical and biological phenomena. Current fields of interest include:
- Multiphysics interaction within the heart and lungs.
- Numerical solvers for cardiac bidomian equations.
- Computational multiscale lung models.
- Stochastic differential equations for ion channel dynamics.
- Numerical models for cell movement.
- Numerical analysis and finite element analysis.
My Google scholar page is here.
D. Phil. Funding available: If you are interested in postgraduate research within my field of research please contact me. Funding and scholarship opportunities available within the department can be found at this web page. Alternative funding opportunities can be found at the DTC website www.dtc.ox.ac.uk for details.
- Richard Welford (Sussex, 2006).
- Alex Tomasi (Sussex, 2008).
- Matthew McCormick jointly supervised with Prof N. Smith (Oxford, 2012).
- James Mbewu jointly supervised with Dr Rafel Bordas.
- Quentin Parsons jointly supervised with Prof A. Muench.
- Brody Foy jointly supervised with Dr Rafel Bordas.
I obtained a first class degree in Mathematics and a PhD in Numerical Analysis from Leicester University in 1992 and 1997, respectively. During 1996-1998 I worked as a postdoctoral researcher at UMIST. This was followed by a Postdoctoral position at Oxford University until 1999. In 1999 I became a University Lecturer in Mathematics at the University of Sussex. In the summer of 2007 I was appointed to my current position of University Lecturer in Computational Biology at Oxford University.
Away from academic live I enjoy playing and coaching football. I am currently a coach at Mansfield Road Junior Football Club.
A computational comparison of the multiple−breath washout and forced oscillation technique as markers of bronchoconstriction
Brody H Foy and David Kay
In Respiratory Physiology & Neurobiology. Vol. 240. Pages 61–69. 2017.
A stabilized finite element method for finite−strain three−field poroelasticity
Lorenz Berger‚ Rafel Bordas‚ David Kay and Simon Tavener
In Computational Mechanics. Pages 1–18. 2017.
On reflecting boundary conditions for space−fractional equations on a finite interval: Proof of the matrix transfer technique
N Cusimano‚ K Burrage‚ I Turner and D Kay
In Applied Mathematical Modelling. Vol. 42. Pages 554–565. 2017.