Projects per year
Personal profile
Research interests
Qualifications: BSc (1st Class Hons, Edinburgh, 1970), MSc (Oxford, 1971), DPhil (Oxford, 1974)
My main research is in Numerical Analysis and Scientific Computing, including both analysis of numerical algorithms and applications.
More specifically, at the moment, my main interests are:
- `Large Sparse Matrix Computations and Eigenvalue Problems', with, for example, application to stability of compressible and incompressible fluid flows;
- `Analysis of Networks and their Applications', with applications in Bioinformatics, including understanding how data errors affect algorithms for clustering;
- `Iterative methods for the Neutron Transport equation', including the analyisis of preconditioners within a diffusive regime.
More details can be found on my web page.
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Collaborations and top research areas from the last five years
Projects
- 5 Finished
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TCC Funding
Spence, A. (PI)
Engineering and Physical Sciences Research Council
1/10/11 → 30/09/16
Project: Research council
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THEORY AND TOOLS FOR COMPLEX BIOLOGICAL SYSTEMS
Spence, A. (PI) & Hurn, M. (CoI)
Engineering and Physical Sciences Research Council
1/11/07 → 31/10/10
Project: Research council
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A TAUGHT COURSE CENTRE FOR THE MATHEMATICAL SCIENCES BASED AT OXFORD, WARWICK, IMPERIAL, BATH AND BRISTOL
Spence, A. (PI)
Engineering and Physical Sciences Research Council
1/10/06 → 30/09/11
Project: Research council
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A Taught Cause Centre for the Mathematical Sciences Based at Oxford, Warwick, Imperial, Bath and Bristol
Spence, A. (PI)
Engineering and Physical Sciences Research Council
1/10/06 → 31/03/11
Project: Research council
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Applying GMRES to the Helmholtz equation with strong trapping: how does the number of iterations depend on the frequency?
Marchand, P., Galkowski, J., Spence, A. & Spence, E. A., 31 Aug 2022, In: Advances in Computational Mathematics. 48, 4, 63 p., 37.Research output: Contribution to journal › Article › peer-review
Open Access6 Citations (SciVal) -
Flexible Krylov Methods for Edge Enhancement in Imaging
Gazzola, S., Scott, S. & Spence, A., 18 Oct 2021, In: Journal of Imaging. 7, 10, 216.Research output: Contribution to journal › Article › peer-review
Open Access2 Citations (SciVal) -
Dynamics of cumulative innovation in complex social systems (DCICSS)
Room, G., Spence, A., Evangelou, E., Zeppini, P., Pugliese, E. & Napolitano, L., 2017, University of Bath.Research output: Book/Report › Book
Open AccessFile200 Downloads (Pure) -
Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method
Freitag, M. A., Spence, A. & Van Dooren, P., 31 Dec 2014, In: SIAM Journal On Matrix Analysis and Applications (SIMAX). 35, 2, p. 619-635 17 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile15 Citations (SciVal)264 Downloads (Pure) -
Interdisciplinary teaching of computing to mathematics students: Programming and discrete mathematics
Davenport, J. H., Wilson, D., Graham, I., Sankaran, G., Spence, A., Blake, J. & Kynaston, S., 2014, In: MSOR Connections. p. 1-8 8 p.Research output: Contribution to journal › Article › peer-review
File289 Downloads (Pure)