Assistant Professor 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.

Asst Prof Smith’s research focuses on the 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.

• 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.

See dasmithmaths.com/publications.html for a full list.

Preprint

S. Aitzhan, S. Bhandari, D. A. Smith Fokas diagonalization of piecewise constant coefficient linear differential operators on finite intervals and networks, 2020, arXiv:2012.05638 [math.SP]

D. A. Smith, T. Trogdon, V. Vasan Linear dispersive shocks, 2019, arXiv:1908.08716 [math.AP]

Journal Articles

L. Boulton, P. J. Olver, B. Pelloni, D. A. Smith New revival phenomena for linear integro-differential equations, Stud. Appl. Math. (to appear 2021) arXiv:2010.01320 [math.AP]

D. A. Smith, W. Y. Toh Linear evolution equations on the half line with dynamic boundary conditions, Eur. J. Appl. Math. (to appear 2021) arXiv:1910.08764 [math.AP]

P. J. Olver, N. E. Sheils, D. A. Smith Revivals and fractalisation in the linear free space Schrödinger equation, Quart. Appl. Math. 78 2 (2020), 161-192, arXiv:1812.08637 [math.PH]

P. D. Miller, D. A. Smith The diffusion equation with nonlocal data, J. Math. Anal. Appl. 466 2 (2018), 1119-1143, arXiv:1708.00972 [math.AP]

B. Pelloni, D. A. Smith Nonlocal and multipoint boundary value problems for linear evolution equations, Stud. Appl. Math. 141 1 (2018), 46-88, arXiv:1511.07244 [math.AP]

E. Kesici, B. Pelloni, T. Pryer, D. A. Smith A numerical implementation of the unified Fokas transform for evolution problems on a finite interval, Euro, J. Appl. Math. 29 3 (2018), 543-567, arXiv:1610.04509 [math.NA]

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

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

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

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

B. Pelloni, D. A. Smith Spectral theory of some non-selfadjoint linear differential operators, Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 469 2154 (2013), 20130019, arXiv:1205.4567 [math.SP]

D. A. Smith Well-posed two-point initial-boundary value problems with arbitrary boundary conditions, Math. Proc. Cambridge Philos. Soc. 152 3 (2012), 473-496, arXiv:1104.5571v2 [math.AP]

Peer-reviewed book chapter

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

Magazine article

D. A. Smith Revivals and fractalization, Dynamical Systems Web 2020 2 (2020), 1-8, DSWeb

PhD thesis

D. A. Smith Spectral theory of ordinary and partial linear differential operators on finite intervals, PhD Thesis, University of Reading, 2011,

Peer-reviewed conference proceedings (mathematics education)

D. A. Smith Collaborative peer feedback, Proceedings of ICEduTech 2017, IADIS (2017) 183-186

• Proof
• Ordinary & Partial Differential Equations
• Quantitative Reasoning