David Andrew Smith
Science (Mathematics)
Assistant Professor
Email: dave.smith@yale-nus.edu.sg
Website: www.dasmithmaths.com
Website: www.unifiedtransformlab.com
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.
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.
Further information is available at https://www.dasmithmaths.com/research.html
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
Revivals and fractalization, Dynamical Systems Web 2020 2 (2020), 1-8, DSWeb
PhD thesis
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