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Faculty of Mathematics

 

Career

  • 2002 Chair in Nonlinear Mathematical Science at the University of Cambridge, UK.
  • 1996 Chair in Applied Mathematics at Imperial College, UK.
  • 1986 Professor and Chairman of the Department of Mathematics and Computer Science of Clarkson University, USA.

Research

Thanasis Fokas current interests include:

  • Asymptotics of the Riemann zeta and related functions
  • Boundary value problems for linear and integrable nonlinear PDEs. 
  • Integrability in multi dimensions
  • Inverse Problems arising in Medicine, such as those arising in PET,SPECT, MEG and EEG
  • Novel techniques in complex analysis
  • Water waves

Selected of Publications

 

  •  A.S. Fokas and Y.C. Yortsos, On the Exactly Solvable Equation St = (βS + γ) -2Sxx +  α(βS + γ) -2Sx Occurring in Two-Phase Flow in Porous Media, SIAM J. Appl.Math. 42, 318-332 (1982).
  • A.S. Fokas and M.J. Ablowitz, On the Inverse Scattering Transform of Multi-Dimensional Nonlinear Equations Related to First Order Systems in the Plane, J. Math. Phys. 25, 2494-2505 (1984).
  • A.S. Fokas, Symmetries and Integrability, Stud. Appl. Math. 77, 253-299 (1987).
  • A.S. Fokas, J.B. Keller and B.D. Clarkson, Mathematical Models of Granulocypopoiesis and Chronic Myelogenous Leukemic, Cancer Res. 51, 2084-2091 (1991).
  • A.S. Fokas, A.R. Its and A.V. Kitaev, The Isomonodromy Approach to Matrix Models in 2D Quantum Gravity, Comm. Math. Phys. 147, 395-430 (1992).
  • A.S. Fokas and L.Y. Sung, On the Solvability of the N-Wave, the Davey-Stewartson and the Kadomtsev-Petviashvili Equation, Inverse Problems 8, 673-708 (1992).
  • A.S. Fokas and I.M. Gelfand, Surfaces on Lie Groups, on Lie Algebras, and their Integrability, Commun.  Math. Phys. 177, 203-220 (1996).
  • A.S. Fokas, A Unified Transform Method for Solving Linear and Certain Nonlinear PDE's, Proc. R. Soc. Lond. A 453, 1411-1443 (1997).
  • A.S. Fokas, Two Dimensional Linear PDE's in a Convex Polygon, Proc. R. Soc. Lond. A 457, 371-393 (2001).
  • A.S. Fokas, I.M. Gelfand and A.E. Kister, Prediction of the Structural Motifs of Sandwich Proteins, Proc. Natl. Acad. Sci. USA 101, 16780-16783 (2004).
  • A.S. Fokas and L.Y. Sung, Generalised Fourier Transforms, their Nonlinearisation and the Imaging of the Brain, Notices Amer. Math. Soc. 52, 1176-1190.
  • A.S. Fokas, A.R. Its and L.Y. Sung, The Nonlinear Schrödinger Equation on the Half-Line, Nonlinearity 18, 1771-1822 (2005).
  • M.J. Ablowitz, A.S. Fokas and Z.H. Musslimani, On a New Non-Local Formulation of Water Waves, J. Fluid. Mech., 562, 313-343 (2006).
  • A.S. Fokas, Electro-Magneto-Encephalography for the Three-Shell Model: Distributed Current in Arbitrary, Spherical and Ellipsoidal Geometries, J. R. Soc. Interface 6, 479-488 (2009).
  • A.S. Fokas and E.A. Spence, Synthesis as Opposed to Separation of Variables, SIAM Rev. 54, 291-324 (2012).
  • A.S. Fokas, O. Hauk and V.Michel, Electro-Magneto-Encephalography for the Three-Shell Model: Numerical Implementation for Distributed Current in Spherical Geometry, Inverse Problems 28, 035009 (2012).
  • A.S. Fokas and M.L. Glasser, The Laplace Equation in the Exterior of the Hankel Contour and Novel Identities for Hypergeometric Functions, Proc. R. Soc. Lond. A 469, 20130081 (2013).
  • G.A. Kastis, A. Gaitanis, A. Samartzis and A.S. Fokas, The SRT REconstruction Algorithm for Semiquantification in PET Imaging, Med. Phys. 42, 5970-5982 (2015).
  • A.S. Fokas, A.A. Himonas and D. Mantzavinos, The Nonlinear Schrödinger Equation on the Half-Line, Trans. Amer. Math. Soc. (in press).
  • A.S. Fokas and J. Lenells, On the Asymptotics to All Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function, Mem. Amer. Math. Soc. (submitted).

 

Publications

Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations
J Lenells, AS Fokas
– Journal of Nonlinear Mathematical Physics
(2020)
27,
337
A Spline Approach to Parallel-Hole Collimator Deblurring for aSRT-Reconstructed SPECT Images
NE Protonotarios, A Charalambopoulos, GA Kastis, K Kacperski, AS Fokas, IEEE
– 2019 IEEE 19TH INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOENGINEERING (BIBE)
(2019)
00,
326
Evolution equations on time-dependent intervals
AS Fokas, B Pelloni, B Xia
– IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
(2019)
84,
1044
A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line
FPJ de Barros, MJ Colbrook, AS Fokas
– International Journal of Heat and Mass Transfer
(2019)
139,
482
A novel integral equation for the Riemann zeta function and large t-asymptotics
K Kalimeris, AS Fokas
– Mathematics
(2019)
7,
650
Relations among the Riemann zeta and Hurwitz zeta functions, as well as their products
ACL Ashton, AS Fokas
– Symmetry
(2019)
11,
754
An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform
ENG Grylonakis, CK Filelis-Papadopoulos, GA Gravvanis, AS Fokas
– Numerical Mathematics: Theory, Methods and Applications
(2019)
12,
348
25th AIAA/CEAS Aeroacoustics Conference
LJ Ayton, MJ Colbrook, AS Fokas
– 25th AIAA/CEAS Aeroacoustics Conference, 2019
(2019)
An iterative spatial-stepping numerical method for linear elliptic PDEs using the Unified Transform
ENG Grylonakis, CK Filelis-Papadopoulos, GA Gravvanis, AS Fokas
– Journal of Computational and Applied Mathematics
(2019)
352,
194
Correction to ‘The unified transform for mixed boundary condition problems in unbounded domains’
MJ Colbrook, LJ Ayton, AS Fokas
– Proceedings of the Royal Society A
(2019)
475,
20190201
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Research Groups

Cantab Capital Institute for the Mathematics of Information
Centre for Mathematical Imaging in Healthcare
Nonlinear Dynamical Systems

Room

F1.12

Telephone

01223 339733