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Ivan Graham
Originally from Northern Ireland, I did an MA in
Mathematics at the University of Edinburgh (1975) and a PhD in Numerical
Analysis at the University of 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 reactors. My work is regularly supported by Industry, and was recently
supported by AMEC Foster Wheeler plc and Schlumberger Gould Research.
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. Collaborations in Germany, Australia and Hong Kong are ongoing.
I am a Member of SIAM and the LMS and currently serve on the EPSRC
Peer Review College. I am an Associate Editor of SIAM Journal of Numerical Analysis,
SIAM Review, IMA Journal of Numerical Analysis, and Journal of Computational Mathematics.
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