## Euan Spence

Department of Mathematical Sciences

University of Bath

Bath, BA2 7AY

UK

Phone: +44 (0) 1225 386978

Office: 6W 1.25d

Email: e DOT a DOT spence AT bath DOT ac DOT uk

Are you a PhD student studying wave propagation?

Are you confused about all the different ways of solving the Helmholtz equation numerically? (Don't know your Trefftz-DG from your null-field?)

If so, help is at hand!

**Review article:**
"When all else fails, integrate by parts" - an overview of new and old variational formulations for linear elliptic PDEs (updated 31st December 2014).

### Papers

### Teaching

### About me:

I am a lecturer in mathematics at the University of Bath. My research lies
at the
interface between analysis and numerical analysis of partial differential equations (PDEs). At the moment I am interested in problems involving the scattering of acoustic and electromagnetic waves.

From April 2011 to March 2014 I held an EPSRC Postdoctoral Fellowship. The title of my project was ''New Methods and Analysis for Wave Propagation Problems'' and it was supported by EPSRC grant EP/1025995/1.

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 was 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 was 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.

### Bath Maths Links:

### General Talks:

Bath University Maths department has one or two "Away Days" for its PhD students every year where, amongst 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.

### Instructions for how to get to Bath University

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