David Andrew Smith

Science (Mathematics)

Assistant Professor

Email: dave.smith@yale-nus.edu.sg
Website: http://www.dasmithmaths.net/

View Curriculum Vitae

Dr David Smith received his Master’s degree in Mathematics from University of York, United Kingdom, in 2007 and his PhD from University of Reading in 2011. Before joining Yale-NUS College in 2016, he held postdoctoral fellowships at University of Michigan, University of Cincinnati and University of Crete.

Spectral theory of non-self-adjoint two-point differential operators.
Well-posedness of initial-boundary value problems for linear partial differential equations.
Complex boundary conditions.
Solution representations for initial-boundary value problems.
Long-time and semiclassical asymptotics of initial-boundary value problems for linear and nonlinear evolution equations

With E. Kesici, B. Pelloni, T. Pryer, A numerical implementation of the unified Fokas transform for evolution problems on a finite interval, Euro, J. Appl. Math. (in press 2017), arXiv:1610.04509 [math.NA]

With N Sheils and B Deconinck, The Linear KdV Equation with an Interface Comm. Math. Phys. 347 2 (2016), 489-509 arXiv:1508.03596 [math.AP].

With A S Fokas, Evolution PDEs and augmented eigenfunctions. Finite interval, Adv. Diff. Eq. 21 7/8 (2016) 735–766 arXiv:1303.2205 [math.SP].

With B Pelloni, Evolution PDEs and augmented eigenfunctions. Half-line, J. Spectr. Theory 6 1 (2016) 185–213 arXiv:1408.3657 [math.AP].

With N Sheils, The heat equation on a network using the Fokas method, J. Phys. A 48 33 (2015), 335001 arXiv:1503.05228 [math.AP].

The unified transform method for linear initial-boundary value problems: a spectral interpretation, Unified transform method for boundary value problems: applications and advances, (B Pelloni and A S Fokas (Eds.)), SIAM (2015) arXiv:1408.3659 [math.SP].

With B Pelloni, Spectral theory of some non-selfadjoint linear differential operators, Proc. Roy. Soc. Lond. Ser. A 469 (2013), 20130019 arXiv:1205.4567v2 [math.SP].

Well-posed two-point initial-boundary value problems with arbitrary boundary conditions, Math. Proc. Cambridge Philos. Soc. 152 (2012), 473–496 arXiv:1104.5571v2 [math.AP].

Proof
Ordinary & Partial Differential Equations
Applied Calculus
Ordinary Differential Equations
Linear Systems & Ordinary Differential Equations