My degrees are MA (Edinburgh 1975) and PhD (New South Wales 1981). My advisor was Ian Sloan.

I held teaching positions at  the University of New South Wales and the University of Melbourne before coming to Bath in 1985. I became Professor of Numerical Analysis at Bath  in May 2000 and Emeritus Professor in February 2022.

At Bath I served as Head of the Department of Mathematical Sciences from 2012-2015 and as Head of the Mathematics Group from 2001-2004.

My research is in numerical analysis: a branch of applied mathematics concerned with computational problem solving, and having applications (mostly) in science and technology (and sometimes) in other fields like  medicine and social sciences. This discipline uses rigorous theoretical mathematics to obtain advances in algorithms and software.

Most problems I am interested in are written in terms of partial differential equations. A main aim of numerical analysis is to devise fast, accurate and reliable solution techniques. Applications in which I have been recently interested include: fluid flow in uncertain media, seismic imaging of the earth's subsurface and the analysis of the safety of power reactors.

Technical Keywords for my current research interests include: Wave propagation and scattering, high frequency, iterative methods, domain decomposition, seismic inversion, uncertainty quantification, random media, high-dimensional problems, quasi-Monte Carlo methods, adaptive methods, PDE eigenproblems, neutron transport, neutron diffusion.

I have had substantial research collaborations in Australia, USA, Germany and Switzerland and visiting positions at University of Iowa, University of Kiel, University of New South Wales, Max-Planck Institute Leipzig, California Institute of Technology, Radon Institute (Linz, Austria), University of Zuerich and the Chinese University of Hong Kong (both Shatin and Shenzhen).   Collaborations in Sydney and in Shenzhen are ongoing.

I am a  Member of SIAM and the LMS and an Associate Editor of SIAM Journal of Numerical Analysis, IMA Journal of Numerical Analysis, and Journal of Computational Mathematics. Previously I have served on the editorial board of Mathematics of Computation, SIAM Review, Advances in Computational Mathematics and Journal of Integral Equations and Applications.

I was elected a SIAM Fellow in 2025. 

https://people.bath.ac.uk/masigg/