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.

## Fingerprint Dive into the research topics where Alastair Spence is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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## Projects 2006 2016

- 8 Finished

### International Research Accelerator Scheme - Workshop on “Eigenvalues: Numerics and Applications”

Spence, A. & Freitag, M.

1/06/16 → 31/07/16

Project: Research-related funding

### Global Collaboration Scheme - study of theoretical models for evolving networks and their application

1/06/15 → 30/06/15

Project: Research-related funding

### Global Mobility Scheme - Applied Maths, Networks, Networks Analysis

Spence, A., Dawes, J. & James, R.

23/09/13 → 30/09/13

Project: Research-related funding

### TCC Funding

Engineering and Physical Sciences Research Council

1/10/11 → 30/09/16

Project: Research council

## Research Output 2002 2014

### Calculating the $H_{\infty}$-norm Using the Implicit Determinant Method

Freitag, M. A., Spence, A. & Van Dooren, P., 15 May 2014, In : SIAM Journal On Matrix Analysis and Applications (SIMAX). 35, 2, p. 619-635 17 p.Research output: Contribution to journal › Article

### 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

### The calculation of the distance to a nearby defective matrix

Akinola, R. O., Freitag, M. A. & Spence, A., May 2014, In : Numerical Linear Algebra with Applications. 21, 3, p. 403-414Research output: Contribution to journal › Article

### The computation of Jordan blocks in parameter-dependent matrices

Akinola, R. O., Freitag, M. A. & Spence, A., Jul 2014, In : IMA Journal of Numerical Analysis. 34, 3, p. 955-976 22 p.Research output: Contribution to journal › Article

### A new approach for calculating the real stability radius

Freitag, M. A. & Spence, A., 23 Nov 2013, In : BIT Numerical Mathematics. 54, 2, p. 381-400 20 p.Research output: Contribution to journal › Article

## Thesis

## Domain Decomposition Methods for Nuclear Reactor Modelling with Diffusion Acceleration

Author: Blake, J., 29 Jul 2016Supervisor: Graham, I. (Supervisor), Spence, A. (Supervisor) & Smith, P. (External person) (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Inner-outer Iterative Methods for Eigenvalue Problems - Convergence and Preconditioning

Author: Freitag, M., 1 Sep 2007Supervisor: Spence, A. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## New vacuum solutions for quadratic metric–affine gravity

Author: Pasic, V., 1 Feb 2009Supervisor: Spence, A. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## Numerical Solution of Linear and Nonlinear Eigenvalue Problems

Author: Akinola, R., 1 May 2010Supervisor: Spence, A. (Supervisor)

Student thesis: Doctoral Thesis › PhD

## The symmetric eigenvalue problem: stochastic perturbation theory and some network applications.

Author: Stoyanov, Z., 1 Oct 2008Supervisor: Spence, A. (Supervisor)

Student thesis: Doctoral Thesis › PhD