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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:

  1. `Large Sparse Matrix Computations and Eigenvalue Problems', with, for example, application to stability of compressible and incompressible fluid flows;
  2. `Analysis of Networks and their Applications', with applications in Bioinformatics, including understanding how data errors affect algorithms for clustering;
  3. `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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Projects

  • Numerical Linear Algebra

    Spence, A.

    The Royal Society

    1/06/086/06/08

    Project: Research council

    Research Output

    Open Access
    File
    102 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 journalArticle

    Open Access
    File
  • 10 Citations (Scopus)
    124 Downloads (Pure)
    File
  • 139 Downloads (Pure)

    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. 403-414

    Research output: Contribution to journalArticle

  • 5 Citations (Scopus)

    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 journalArticle

    Open Access
    File
  • 7 Citations (Scopus)
    126 Downloads (Pure)

    Thesis

    Domain Decomposition Methods for Nuclear Reactor Modelling with Diffusion Acceleration

    Author: Blake, J., 29 Jul 2016

    Supervisor: Graham, I. (Supervisor), Spence, A. (Supervisor) & Smith, P. (External person) (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

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

    Author: Freitag, M., 1 Sep 2007

    Supervisor: Spence, A. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    New vacuum solutions for quadratic metric–affine gravity

    Author: Pasic, V., 1 Feb 2009

    Supervisor: Spence, A. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

    Numerical Solution of Linear and Nonlinear Eigenvalue Problems

    Author: Akinola, R., 1 May 2010

    Supervisor: Spence, A. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File

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

    Author: Stoyanov, Z., 1 Oct 2008

    Supervisor: Spence, A. (Supervisor)

    Student thesis: Doctoral ThesisPhD

    File