David Andrew Smith

Department of Mathematical Sciences, University of Cincinnati

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Latest News

New preprints

Preprint: Heat equation on a network using the Fokas method

Preprint: Evolution PDEs and augmented eigenfunctions. Half line

To appear: Evolution PDEs and augmented eigenfunctions. Finite interval

Published: The unified transform method for linear initial-boundary value problems: a spectral interpretation

Upcoming Talks

Conference 1-4th April 2015: The ninth IMACS international conference on nonlinear evolution equations and wave phenomena: computation and theory, Athens, GA, USA

Conference 1-5th June 2015: SIAM international symposium on orthogonal polynomials, special functions and applications, Gathersburg, MD, USA

Conference 10-14th August 2015: ICIAM 2015, Beijing, China

Travel

Workshop 8-12th June 2015: AIM Workshop on Mathematical aspects of physics with non-self-adjoint operators, San Jose, CA, USA

July 2015: I will be in United Kingdom

Research

I work in integrable systems, using inverse scattering methods to study initial- and initial-boundary value problems for partial differential equations. Much of my work is dedicated to studying initial-boundary value problems for high-order linear evolution equations, with complicated boundary conditions, especially from a spectral viewpoint. I am also interested in semiclassical and long-time asymptotics of integrable systems.

My research page contains more information.

Unified transform method

I set up and maintain the Unified Transform Method website. Over time, this has become a central portal for scholarly activity relating to Fokas' method. The website details most of the published work on Fokas' method and its various applications.

Teaching

I enjoy teaching university level mathematics. As a visiting assistant professor at University of Cincinnati, I have taught courses on Calculus & Precalculus. I held a teaching fellowship at the University of Reading, where I taught 1st and 2nd year courses on Real Analysis.

I completed the University of Reading's Teaching & Learning Support Programme, entitling me to Associate Fellowship of the UK Higher Education Academy. I achieved a Distinction for my teaching portfolio.

PhD from the University of Reading

I completed my PhD in Mathematics at the University of Reading, UK. My supervisor was Beatrice Pelloni and I was supported by an EPSRC studentship. I submitted my thesis in March 2011 and I graduated on 8 July 2011.