Homepage of Euan Spence

Euan Spence

Department of Mathematical Sciences
University of Bath
Bath, BA2 7AY
UK

Phone: +44 (0) 1225 386978
Office: 4W 5.5
Email: e DOT a DOT spence AT bath DOT ac DOT uk

About me:

I am an EPSRC Postdoctoral Fellow at the University of Bath. The title of my project is ''New Methods and Analysis for Wave Propagation Problems'' and it is supported by EPSRC grant EP/1025995/1. From April 2014 I will be a Lecturer in Mathematics at Bath.

From April 2009 to March 2011 I was a Post-Doctoral Research Assistant on the project Boundary Integral Equation Methods for High Frequency Scattering Problems, This is a joint project involving the University of Bath and the University of Reading on the development of robust methods for high-frequency wave scattering problems. The project is supported by EPSRC grants EP/F06795X/1 and EP/F067798/1.

From October 2005 to March 2009 I was a PhD student in DAMTP, University of Cambridge, supervised by Thanasis Fokas. The title of my thesis was "Boundary Value Problems for Linear Elliptic PDEs". This research is part of a wider body of work on transform methods for linear and certain non-linear PDEs; a website collecting this work together is here.

Teaching: MA30059, Mathematical Methods 2

Submitted Papers:

T. Betcke, J. Phillips, E.A. Spence, Spectral decompositions and nonnormality of boundary integral operators in acoustic scattering

Journal Publications:

S.N. Chandler-Wilde, I.G. Graham, S. Langdon, E.A. Spence, Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering, Acta Numerica, vol. 21, 89--305 (2012) local official copy
A.S. Fokas, E.A. Spence Synthesis, as opposed to separation, of variables, SIAM Review, vol. 54, no. 2, 291-324 (2012) local official copy
T. Betcke, E.A. Spence, Numerical estimation of coercivity constants for boundary integral operators in acoustic scattering, SIAM J. Num. Anal. vol. 49, issue 4, 1572-1601 (2011) local official copy
E.A. Spence, S. N. Chandler-Wilde, I. G. Graham, V. P. Smyshlyaev A new frequency-uniform coercive boundary integral equation for acoustic scattering, Comm. Pure Appl. Math. vol. 64, issue 10, 1384-1415, (2011) unofficial copy
E.A. Spence, A.S. Fokas, A New Transform Method I: Domain Dependent Fundamental Solutions and Integral Representations. Proc. Roy. Soc. A. vol. 466, 2259-2281 (2010)
E.A. Spence, A.S. Fokas, A New Transform Method II: the Global Relation, and Boundary Value Problems in Polar Co-ordinates. Proc. Roy. Soc. A. vol 466, 2283-2307 (2010) Corrections
S.A. Smitheman, E.A. Spence, A.S. Fokas, A spectral collocation method for the Laplace and modified Helmholtz equations in a convex polygon IMA J. Num. Anal. 30(4): 1184-1205 (2010) doi:10.1093/imanum/drn079
A.S. Fokas, N. Flyer, S.A. Smitheman, E.A. Spence, A semi-analytical numerical method for solving evolution and elliptic partial differential equations, J. Comp. Appl. Math. Volume 227, Issue 1, 59-74 (2009) (Invited Paper)

If you would like copies of any of these, please e-mail me. The copyright of each article is owned by the respective journal. When an official or unofficial copy is posted, this is in line with that journal's copyright policy.

Chapters in Books:

A.S. Fokas, E.A.Spence, Novel analytical and numerical methods for elliptic boundary value problems, in Highly Oscillatory Problems, London Mathematical Society Lecture Note Series (No. 366), CUP (2009).

Conference Proceedings:

E. A. Spence, Coercivity of boundary integral equations in high frequency scattering, in Mathematisches Forschungsinstitut Oberwolfach Report No. 10/2010, (2010), doi:10.4171/owr/2010/10
E.A. Spence, A new method for boundary value problems and its numerical implementation, Proceedings of the 8th International Workshop on Mathematical Methods in Scattering Theory and Biomedical Engineering, World Scientific (2007)

Other:

E.A. Spence, Boundary Value Problems for Linear Elliptic PDEs, PhD thesis, Cambridge, submitted 23/03/2009, viva 05/02/2010

General Talks:

Bath University Maths department has one or two "Away Days" for its PhD students every year where, among other things, postdocs give talks on aspects of PhD life. The slides of the talks I've given at these are below. I've put them up here mainly for the benefit of those who were in the talks, however I hope others may find them interesting/useful too.

Overcoming the second year slump, Bath Postgrad Away Day, 03/02/2012, 13/01/2011, 29/01/2010.
How to give a good (maths) talk, Bath Postgrad Away Day, 16/06/2011, 13/05/2010
(The 2011 talk was different from the 2010 talk, mainly because 6 months earlier the fantastic Piero Vitelli of Island 41 had given a talk on general presentational skills, and my talk referred to some of his ideas from a maths-specific perspective. If you were in my 2011 talk and want a copy of the slides please e-mail me.)