Dave Smith

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

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Recent preprints & publications

Preprint: Linear dispersive shocks

Published: Time-periodic linear boundary value problems on a finite interval

Published: Linear evolution equations on the half line with dynamic boundary conditions

Published: Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks

Published: New revival phenomena for linear integro-differential equations

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.

Research with undergraduate students

I have an active program of research with undergraduate students at Yale-NUS College. You can find out more at the Unified transform lab website.

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.