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Higher-order diffusion and Cahn–Hilliard-type models revisited on the half-line

Mathematical Models and Methods in Applied Sciences
2025-03-08 | Journal article
Contributors: Andreas Chatziafratis; Alain Miranville; Georgia Karali; Athanasios S. Fokas; Elias C. Aifantis
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Towards a unified approach to sciences and the arts

Proceedings of the European Academy of Sciences and Arts
2024-11-15 | Journal article
Contributors: Athanassios S. Fokas
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Can artificial intelligence reach human thought?

PNAS Nexus
2023-12-01 | Journal article
Contributors: Athanassios S Fokas; Lydia Kavraki
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Crossref

Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography

Mathematics
2023-11-24 | Journal article
Contributors: Vangelis Marinakis; Athanassios S. Fokas; George A. Kastis; Nicholas E. Protonotarios
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An algebraic formula, deep learning and a novel SEIR-type model for the COVID-19 pandemic

Royal Society Open Science
2023-08 | Journal article
Contributors: A. S. Fokas; N. Dikaios; Y. C. Yortsos
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Crossref

Sigmoid and Beyond: Algebraic Activation Functions for Artificial Neural Networks Based on Solutions of a Riccati Equation

IT Professional
2022-09-01 | Journal article
Contributors: Nicholas E. Protonotarios; Athanassios S. Fokas; George A. Kastis; Nikolaos Dikaios
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The nonlinear Schr\"odinger equation with forcing involving products of eigenfunctions

Open Communications in Nonlinear Mathematical Physics
2022-08-02 | Journal article
Contributors: A. S. Fokas; A. Latifi
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Integrable nonlinear evolution equations in three spatial dimensions

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2022-07 | Journal article
Contributors: A. S. Fokas
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Reconstruction of Preclinical PET Images via Chebyshev Polynomial Approximation of the Sinogram

Applied Sciences
2022-03-25 | Journal article
Contributors: Nicholas E. Protonotarios; Athanassios S. Fokas; Alexandros Vrachliotis; Vangelis Marinakis; Nikolaos Dikaios; George A. Kastis
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The unified transform for evolution equations on the half‐line with time‐periodic boundary conditions*

Studies in Applied Mathematics
2021-11 | Journal article
Contributors: A. S. Fokas; M. C. van der Weele
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Crossref

Covid-19: predictive mathematical formulae for the number of deaths during lockdown and possible scenarios for the post-lockdown period

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2021-05 | Journal article
Contributors: Athanassios S. Fokas; Nikolaos Dikaios; George A. Kastis
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SARS-CoV-2: The Second Wave in Europe

Journal of Medical Internet Research
2021-05-18 | Journal article
Contributors: Athanassios S Fokas; George A Kastis
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Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2

Journal of The Royal Society Interface
2020-08 | Journal article
Contributors: A. S. Fokas; N. Dikaios; G. A. Kastis
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Crossref

Fokas method for linear boundary value problems involving mixed spatial derivatives

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2020-07 | Journal article
Contributors: A. Batal; A. S. Fokas; T. Özsarı
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SARS-CoV-2: The Second Wave in Europe (Preprint)

2020-07-11 | Other
Contributors: Athanassios S Fokas; George A Kastis
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A hybrid analytical-numerical method for solving advection-dispersion problems on a half-line

International Journal of Heat and Mass Transfer
2019 | Journal article
EID:

2-s2.0-85065767293

Contributors: de Barros, F.P.J.; Colbrook, M.J.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

A New Approach for the Inversion of the Attenuated Radon Transform

Springer Optimization and Its Applications
2019 | Book chapter
EID:

2-s2.0-85076725521

Contributors: Protonotarios, N.E.; Kastis, G.A.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

A novel integral equation for the Riemann zeta function and large t-asymptotics

Mathematics
2019 | Journal article
EID:

2-s2.0-85070739234

Contributors: Kalimeris, K.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

A parallel unified transform solver based on domain decomposition for solving linear elliptic PDEs

Journal of Supercomputing
2019 | Journal article
EID:

2-s2.0-85061705936

Contributors: Grylonakis, E.N.G.; Gravvanis, G.A.; Filelis-Papadopoulos, C.K.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

A Spline Approach to Parallel-Hole Collimator Deblurring for aSRT-Reconstructed SPECT Images

Proceedings - 2019 IEEE 19th International Conference on Bioinformatics and Bioengineering, BIBE 2019
2019 | Conference paper
EID:

2-s2.0-85078577000

Contributors: Protonotarios, N.; Charalambopoulos, A.; Kastis, G.; Kacperski, K.; Fokas, A.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform

Numerical Mathematics
2019 | Journal article
EID:

2-s2.0-85061700358

Contributors: Grylonakis, E.-N.G.; Filelis-Papadopoulos, C.K.; Gravvanis, G.A.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

An iterative spatial-stepping numerical method for linear elliptic PDEs using the Unified Transform

Journal of Computational and Applied Mathematics
2019 | Journal article
EID:

2-s2.0-85058944409

Contributors: Grylonakis, E.-N.G.; Filelis-Papadopoulos, C.K.; Gravvanis, G.A.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

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 of the Royal Society A: Mathematical, Physical and Engineering Sciences
2019 | Journal article
EID:

2-s2.0-85065391701

Contributors: Colbrook, M.J.; Ayton, L.J.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Evolution equations on time-dependent intervals

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
2019 | Journal article
EID:

2-s2.0-85074159484

Contributors: Fokas, A.S.; Pelloni, B.; Xia, B.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Explicit asymptotics for certain single and double exponential sums

Proceedings of the Royal Society of Edinburgh Section A: Mathematics
2019 | Journal article
EID:

2-s2.0-85060403239

Contributors: Kalimeris, K.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Helmholtz decomposition of the neuronal current for the ellipsoidal head model

Inverse Problems
2019 | Journal article
EID:

2-s2.0-85062561596

Contributors: Hashemzadeh, P.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Numerical evaluation of fokas’ transform solution of the heat equation on the half-line

Studies in Computational Intelligence
2019 | Book chapter
EID:

2-s2.0-85054178444

Contributors: Lachaab, M.; Turner, P.R.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Relations among the Riemann zeta and Hurwitz zeta functions, as well as their products

Symmetry
2019 | Journal article
EID:

2-s2.0-85068058339

Contributors: Ashton, A.C.L.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

The unified transform for mixed boundary condition problems in unbounded domains

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
2019 | Journal article
EID:

2-s2.0-85062731542

Contributors: Colbrook, M.J.; Ayton, L.J.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

The unified transform: A spectral collocation method for acoustic scattering

25th AIAA/CEAS Aeroacoustics Conference, 2019
2019 | Conference paper
EID:

2-s2.0-85076457530

Contributors: Ayton, L.J.; Colbrook, M.J.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Ultra-relativistic gravity has properties associated with the strong force

European Physical Journal C
2019 | Journal article
EID:

2-s2.0-85063348779

Contributors: Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Asymptotics to all orders of the Hurwitz zeta function

Journal of Mathematical Analysis and Applications
2018 | Journal article
EID:

2-s2.0-85047084170

Contributors: Fernandez, A.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Complexification and integrability in multidimensions

Journal of Mathematical Physics
2018 | Journal article
EID:

2-s2.0-85052985647

Contributors: Fokas, A.S.; Van der Weele, M.C.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Computing eigenvalues and eigenfunctions of the Laplacian for convex polygons

Applied Numerical Mathematics
2018 | Journal article
EID:

2-s2.0-85037522167

Contributors: Colbrook, M.J.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

EEG for Current with Two-Dimensional Support

IEEE Transactions on Biomedical Engineering
2018 | Journal article
EID:

2-s2.0-85039787704

Contributors: Dassios, G.; Fokas, A.S.; Hashemzadeh, P.; Leahy, R.M.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Equations of motion of self-gravitating N -body systems in the first post-Minkowskian approximation

Physical Review D
2018 | Journal article
EID:

2-s2.0-85056203846

Contributors: Blanchet, L.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Generalised Dirichlet to Neumann maps for linear dispersive equations on half-line

Mathematical Proceedings of the Cambridge Philosophical Society
2018 | Journal article
EID:

2-s2.0-85013993120

Contributors: Fokas, A.S.; Wang, Z.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Initial–boundary value problems associated with the Ablowitz–Ladik system

Physica D: Nonlinear Phenomena
2018 | Journal article
EID:

2-s2.0-85035045671

Contributors: Xia, B.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

On the mass and thermodynamics of the Higgs boson

Physica A: Statistical Mechanics and its Applications
2018 | Journal article
EID:

2-s2.0-85035201682

Contributors: Fokas, A.S.; Vayenas, C.G.; Grigoriou, D.P.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Rogue waves of the nonlocal Davey-Stewartson i equation

Nonlinearity
2018 | Journal article
EID:

2-s2.0-85050927776

Contributors: Rao, J.; Zhang, Y.; Fokas, A.S.; He, J.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Solving PDEs of fractional order using the unified transform method

Applied Mathematics and Computation
2018 | Journal article
EID:

2-s2.0-85051761784

Contributors: Fernandez, A.; Baleanu, D.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

The attenuated spline reconstruction technique for single photon emission computed tomography

Journal of the Royal Society Interface
2018 | Journal article
EID:

2-s2.0-85057560328

Contributors: Protonotarios, N.E.; Fokas, A.S.; Kostarelos, K.; Kastis, G.A.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Uniform asymptotics as a stationary point approaches an endpoint

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
2018 | Journal article
EID:

2-s2.0-85044663657

Contributors: Fernandez, A.; Spence, E.A.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

ANALYTICAL SOLUTION FOR LINEAR WATERFLOOD INCLUDING THE EFFECTS OF CAPILLARY PRESSURE.

Society of Petroleum Engineers of AIME, (Paper) SPE
2017 | Journal article
EID:

2-s2.0-85040214724

Contributors: Yortsos, Yanis C.; Fokas, Athanassios S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

ASRT: A new analytic reconstruction algorithm for SPECT

2016 IEEE Nuclear Science Symposium, Medical Imaging Conference and Room-Temperature Semiconductor Detector Workshop, NSS/MIC/RTSD 2016
2017 | Conference paper
EID:

2-s2.0-85041718557

Contributors: Protonotarios, N.E.; Fokas, A.S.; Gaitanis, A.; Kastis, G.A.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Catalysis and autocatalysis of chemical synthesis and of hadronization

Applied Catalysis B: Environmental
2017 | Journal article
EID:

2-s2.0-84992695151

Contributors: Vayenas, C.G.; Fokas, A.S.; Grigoriou, D.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Fractal analysis of tree paintings by Piet Mondrian (1872-1944)

International Journal of Arts and Technology
2017 | Journal article
EID:

2-s2.0-85019016668

Contributors: Bountis, T.; Fokas, A.S.; Psarakis, E.Z.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Gravitationally confined relativistic neutrinos

Journal of Physics: Conference Series
2017 | Conference paper
EID:

2-s2.0-85032439967

Contributors: Vayenas, C.G.; Fokas, A.S.; Grigoriou, D.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

Linear Elliptic PDEs in a Cylindrical Domain with a Polygonal Cross-Section

Studies in Applied Mathematics
2017 | Journal article
EID:

2-s2.0-85026641374

Contributors: Hitzazis, I.; Fokas, A.S.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier

The nonlinear Schr�dinger equation on the half-line

Transactions of the American Mathematical Society
2017 | Journal article
EID:

2-s2.0-84992154282

Contributors: Fokas, A.S.; Alexandrou Himonas, A.; Mantzavinos, D.
Source: Self-asserted source
Athanassios S Fokas via Scopus - Elsevier
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