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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.

Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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Inverse Iteration Mathematics
Eigenvalue Mathematics
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Projects 2006 2016

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

Spence, A. & Freitag, M.

1/06/1631/07/16

Project: Research-related fundingInternational Relations Office Funding

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

Spence, A.

1/06/1530/06/15

Project: Research-related fundingInternational Relations Office Funding

Global Mobility Scheme - Applied Maths, Networks, Networks Analysis

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

23/09/1330/09/13

Project: Research-related fundingInternational Relations Office Funding

TCC Funding

Spence, A.

1/10/1130/09/16

Project: Research council

funding
university
student
study group
broadcast

Numerical Linear Algebra

Spence, A.

1/06/086/06/08

Project: Research council

Research Output 2002 2017

Open Access
File
9 Citations (Scopus)

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

Freitag, M. A., Spence, A. & Van Dooren, P., 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
Determinant
Norm
Linear Systems
Jordan Block
Hamiltonian Matrix
File
programming
mathematics
Teaching
computer scientist
student
4 Citations (Scopus)

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

Numerical Linear Algebra
Linear algebra
Eigenvalue Decomposition
Fast Algorithm
Eigenvalue Problem
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
Jordan Block
Flutter (aerodynamics)
Quantum theory
Aerodynamics
Dependent