Dave Smith

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

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Recent preprints & publications

Preprint: Linear dispersive shocks

To appear: Revivals and fractalisation in the linear free space Schrödinger equation

Published: The diffusion equation with nonlocal data

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

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

Published (mathematics education): Collaborative peer feedback

Travel

02 September – 18 December 2019: Complex analysis: techniques, applications and computations at Isaac Newton Institute, Cambridge, UK

25 February – 05 June 2020: International visitor program at University of Sydney mathematical research institute, Sydney, Australia. I will work mostly with Robby Marangell.

Workshop

I am organising a workshop on dispersive quantisation via the unified transform method. The workshop will be held at Yale-NUS College, Singapore

Thanks to Yale-NUS College and the Yale-NUS College Workshop B grant for organisational and financial support of this workshop..

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.

My research page contains more information.

Unified transform method

I set up 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 recently taught 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.