![](http://www.damtp.cam.ac.uk/files/styles/portrait/public/portraits/tf227.jpg?itok=XIv_TERE)
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
Correction: The unified transform for mixed boundary condition problems in unbounded domains (Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475 (20180605) DOI: 10.1098/rspa.2018.0605)
– Proceedings. Mathematical, physical, and engineering sciences
(2019)
475,
20190201
(doi: 10.1098/rspa.2019.0201)
A Hybrid Analytical-Numerical Technique for Elliptic PDEs.
– SIAM J. Sci. Comput.
(2019)
41,
a1066
(doi: 10.1137/18m1217309)
Ultra-relativistic gravity has properties associated with the strong force
– The European Physical Journal C
(2019)
79,
271
A parallel unified transform solver based on domain decomposition for solving linear elliptic PDEs
– J. Supercomput.
(2019)
75,
4947
(doi: 10.1007/s11227-019-02772-2)
The unified transform for mixed boundary condition problems in unbounded domains.
– Proc Math Phys Eng Sci
(2019)
475,
20180605
(doi: 10.1098/rspa.2018.0605)
Helmholtz decomposition of the neuronal current for the ellipsoidal head model
– Inverse Problems
(2019)
35,
025002
(doi: 10.1088/1361-6420/aaedc4)
Explicit asymptotics for certain single and double exponential sums
– Proceedings of the Royal Society of Edinburgh Section A Mathematics
(2019)
150,
607
(doi: 10.1017/prm.2018.161)
Numerical Evaluation of Fokas' Transform Solution of the Heat Equation on the Half-Line
(2019)
793,
245
(doi: 10.1007/978-3-319-97277-0_20)
A New Approach for the Inversion of the Attenuated Radon Transform
(2019)
154,
433
(doi: 10.1007/978-3-030-31339-5_16)
Solving PDEs of fractional order using the unified transform method
– Appl. Math. Comput.
(2018)
339,
738
(doi: 10.1016/j.amc.2018.07.061)
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