Department of Mathematical Sciences
University of Bath
Bath, BA2 7AY
Phone: +44 (0) 1225 386978
Office: 6W 1.12
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!
"When all else fails, integrate by parts" - an overview of new and old variational formulations for linear elliptic PDEs
I am a lecturer in Mathematics at the University of Bath. My research lies
interface between semiclassical 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 October 2017 to September 2022, I will hold an EPSRC Early-Career Fellowship. The title of my project is "At the interface between semiclassical analysis and numerical analysis of wave propagation problems" and it is supported by EPSRC grant EP/R005591/1.
Since April 2014, I have been a lecturer in Mathematics at Bath.
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
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 giving an overview of this work is here.
From October 2001 to June 2005, I studied mathematics at Trinity Hall, Cambridge (BSc 2001 to 2004, Part III 2004 to 2005).
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/early-career researchers 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