Dave Smith

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

Home

Latest News

New preprints

To appear: The diffusion equation with nonlocal data

To appear: 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

Upcoming talks

Conference, 11-14 June 2018: SIAM Conference on nonlinear waves and coherent structures, Anaheim CA, USA

Conference, 05-09 July 2018: The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Taipei, Taiwan

Summer school, 16 July to 10 August 2018: Integrable systems in mathematics, condensed matter and statistical physics, ICTS Bangalore, India

Travel

18-22 June 2018: NSF-CBMS Conference on Solving Problems in Multiply-Connected Domains at UC Irvine, CA USA

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 proof at Yale-NUS College. 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.

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.