Dave Smith

Assistant Professor of Science (Mathematics), Yale-NUS College

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Latest News

New preprints

Preprint: The diffusion equation with nonlocal data

Preprint: Nonlocal and multipoint boundary value problems for linear evolution equations

To appear: A numerical implementation of the unified Fokas transform for evolution problems on a finite interval

Published: The Linear KdV Equation with an Interface

Published: Evolution PDEs and augmented eigenfunctions. Finite interval

Published: Evolution PDEs and augmented eigenfunctions. Half line

Upcoming talks

Seminar, 11 October 2017: University of Sydney applied mathematics seminar, Sydney, Australia

Travel

07-12 October 2017: University of Sydney, Sydney, Australia

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. I am currently teaching modules on proof, ordinary and partial differential equations, and applied calculus at Yale-NUS College. At University of Michigan and University of Cincinnati, I taught courses on Boundary Value Problems, Calculus & Precalculus. At University of Reading, 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.

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.