Projects per year
Personal profile
Research interests
I held positions at the University of New South Wales and the University of Melbourne before coming to Bath in 1985. I have held the position of Professor of Numerical Analysis at Bath since May 2000.
I have had substantial research collaborations in USA, Germany, Australia 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 Austria, University of Zuerich and the Chinese University of Hong Kong.
Most of my research concerns various aspects of the numerical analysis of partial differential equations. Applications in which I am currently working include: fluid flow in uncertain media, seismic imaging of the earth's subsurface and the analysis of the safety of reactors.
My research is currently supported by Schlumberger Gould Research and by Amec Foster Wheeler plc.
Recent invited plenary talks include the 9th ENUMath Conference (Leicester 2011), the 11th International Conference on Mathematical and Numerical Aspects of Waves (Tunisia 2013) and the 24th International Conference on Domain Decomposition Methods in Science and Engineering (Svalbard, Norway 2017).
I am currently an Associate Editor of the journals: SIAM Review, Mathematics of Computation, IMA Journal of Numerical Analysis, Advances in Computational Mathematics and Journal of Integral Equations and Applications.
I am a Member of the Society of Industrial and Applied Mathematics and the London Mathematical Society and currently serve on the EPSRC Peer Review College.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Collaborations and top research areas from the last five years
Projects
- 6 Finished
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Fast solvers for frequency-domain wave-scattering problems and applications
Graham, I. (PI), Gazzola, S. (CoI) & Spence, E. (CoI)
Engineering and Physical Sciences Research Council
1/01/19 → 31/12/22
Project: Research council
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Bifurcation Theory, Numerical Linear Algebra and Applications
Freitag, M. (PI) & Graham, I. (CoI)
1/05/13 → 30/09/13
Project: UK charity
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Numerical Analysis of Stochastic Partial Differential Equations
Graham, I. (PI)
1/05/12 → 12/09/12
Project: UK charity
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Adaptive Multiscale Methods for Approximation and Preconditioning
Graham, I. (PI)
Engineering and Physical Sciences Research Council
1/05/10 → 31/07/11
Project: Research council
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EPSRC LMS Durham Symposia
Graham, I. (PI) & Scheichl, R. (CoI)
Engineering and Physical Sciences Research Council
1/03/10 → 30/11/10
Project: Research council
Research output
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Optimising seismic imaging design parameters via bilevel learning
Downing, S., Gazzola, S., Graham, I. G. & Spence, E. A., 30 Nov 2024, In: Inverse Problems. 40, 11, 27 p., 115008.Research output: Contribution to journal › Article › peer-review
Open AccessFile7 Downloads (Pure) -
A Variational Interpretation of Restricted Additive Schwarz With Impedance Transmission Condition for the Helmholtz Problem
Gong, S., Gander, M. J., Graham, I. G. & Spence, E. A., 16 Mar 2023, Domain Decomposition Methods in Science and Engineering XXVI. Brenner, S. C., Klawonn, A., Xu, J., Chung, E., Zou, J. & Kwok, F. (eds.). Germany: Springer Science and Business Media Deutschland GmbH, p. 291-298 8 p. (Lecture Notes in Computational Science and Engineering; vol. 145).Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding
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Convergence of Restricted Additive Schwarz with impedance transmission conditions for discretised Helmholtz problems
Gong, S., Graham, I. G. & Spence, E. A., 31 Jan 2023, In: Mathematics of Computation. 92, 339, p. 175-215 41 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile2 Citations (SciVal)110 Downloads (Pure) -
GenEO Coarse Spaces for Heterogeneous Indefinite Elliptic Problems
Bootland, N., Dolean, V., Graham, I. G., Ma, C. & Scheichl, R., 16 Mar 2023, Domain Decomposition Methods in Science and Engineering XXVI. Brenner, S. C., Klawonn, A., Xu, J., Chung, E., Zou, J. & Kwok, F. (eds.). Cham, Switzerland: Springer, p. 117-125 9 p. (Lecture Notes in Computational Science and Engineering; vol. 145).Research output: Chapter or section in a book/report/conference proceeding › Chapter in a published conference proceeding
Open Access2 Citations (SciVal) -
Convergence of parallel overlapping domain decomposition methods for the Helmholtz equation
Gong, S., Gander, M. J., Graham, I. G., Lafontaine, D. & Spence, E. A., 31 Oct 2022, In: Numerische Mathematik. 152, 2, p. 259-306 48 p.Research output: Contribution to journal › Article › peer-review
Open Access4 Citations (SciVal)