Search Results - "Fokas, Athanassios S"

Doubly Localized Two-Dimensional Rogue Waves in the Davey–Stewartson I Equation by Rao, Jiguang, Fokas, Athanassios S., He, Jingsong

“…Doubly localized two-dimensional rogue waves for the Davey–Stewartson I equation in the background of dark solitons or a constant, are investigated by…”
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Multi-Solitons, Multi-Breathers and Multi-Rational Solutions of Integrable Extensions of the Kadomtsev–Petviashvili Equation in Three Dimensions by Fokas, Athanassios S., Cao, Yulei, He, Jingsong

“…The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial…”
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The Modified Helmholtz Equation on a Regular Hexagon—The Symmetric Dirichlet Problem by Kalimeris, Konstantinos, Fokas, Athanassios S.

“…Using the unified transform, also known as the Fokas method, we analyse the modified Helmholtz equation in the regular hexagon with symmetric Dirichlet…”
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Chebyshev Interpolation Using Almost Equally Spaced Points and Applications in Emission Tomography by Marinakis, Vangelis, Fokas, Athanassios S, Kastis, George A, Protonotarios, Nicholas E

“…Since their introduction, Chebyshev polynomials of the first kind have been extensively investigated, especially in the context of approximation and…”
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Reconstruction of Preclinical PET Images via Chebyshev Polynomial Approximation of the Sinogram by Protonotarios, Nicholas E., Fokas, Athanassios S., Vrachliotis, Alexandros, Marinakis, Vangelis, Dikaios, Nikolaos, Kastis, George A.

“…Over the last decades, there has been an increasing interest in dedicated preclinical imaging modalities for research in biomedicine. Especially in the case of…”
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Simple Formulae, Deep Learning and Elaborate Modelling for the COVID-19 Pandemic by Fokas, Athanassios S., Dikaios, Nikolaos, Tsiodras, Sotirios, Kastis, George A.

“…Predictive modelling of infectious diseases is very important in planning public health policies, particularly during outbreaks. This work reviews the…”
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A Novel Integral Equation for the Riemann Zeta Function and Large t-Asymptotics by Kalimeris, Konstantinos, Fokas, Athanassios S.

“…Based on the new approach to Lindelöf hypothesis recently introduced by one of the authors, we first derive a novel integral equation for the square of the…”
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Can artificial intelligence reach human thought? by Fokas, Athanassios S

“…The transformative achievements of deep learning have led several scholars to raise the question of whether artificial intelligence (AI) can reach and then…”
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THE NONLINEAR SCHRÖDINGER EQUATION ON THE HALF-LINE by FOKAS, ATHANASSIOS S., HIMONAS, A. ALEXANDROU, MANTZAVINOS, DIONYSSIOS

“…The initial-boundary value problem (ibvp) for the cubic nonlinear Schrödinger (NLS) equation on the half-line with data in Sobolev spaces is analysed via the…”
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Accounting for super-spreader events and algebraic decay in SIR models by Luhar, Mitul, Oberai, Assad A., Fokas, Athanassios S., Yortsos, Yannis C.

“…A central feature of pandemics is the emergence and decay of localized infection waves. While traditional SIR models for infectious diseases can reproduce such…”
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On Barenblatt's pseudoparabolic equation with forcing on the half‐line via the Fokas method by Chatziafratis, Andreas, Fokas, Athanassios S., Aifantis, Elias C.

“…A novel technique is presented for explicitly solving inhomogeneous initial‐boundary‐value problems (IBVPs) (Dirichlet, Neumann and Robin) on the half‐line,…”
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SARS-CoV-2: The Second Wave in Europe by Fokas, Athanassios S, Kastis, George A

“…Although the SARS-CoV-2 virus has already undergone several mutations, the impact of these mutations on its infectivity and virulence remains controversial. In…”
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Integral representations for the double-diffusivity system on the half-line by Chatziafratis, Andreas, Aifantis, Elias C., Carbery, Anthony, Fokas, Athanassios S.

“…A novel method is presented for explicitly solving inhomogeneous initial-boundary-value problems (IBVPs) on the half-line for a well-known coupled system of…”
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The unified transform for mixed boundary condition problems in unbounded domains by Colbrook, Matthew J, Ayton, Lorna J, Fokas, Athanassios S

“…This paper implements the unified transform to problems in unbounded domains with solutions having corner singularities. Consequently, a wide variety of mixed…”
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The attenuated spline reconstruction technique for single photon emission computed tomography by Protonotarios, Nicholas E, Fokas, Athanassios S, Kostarelos, Kostas, Kastis, George A

“…We present the (aSRT) which provides an innovative algorithm for single photon emission computed tomography (SPECT) image reconstruction. aSRT is based on an…”
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On the asymptotic linearization of acoustic waves by Fokas, Athanassios S., Luo, Laihan

“…The initial value problem of a certain generalization of the nonlinear, dispersive wave equations with dissipation is rigorously studied. The solutions of the…”
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Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations by Lenells, Jonatan, Fokas, Athanassios S.

“…By employing a novel generalization of the inverse scattering transform method known as the unified transform or Fokas method, it can be shown that the…”
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Sigmoid and Beyond: Algebraic Activation Functions for Artificial Neural Networks Based on Solutions of a Riccati Equation by Protonotarios, Nicholas E., Fokas, Athanassios S., Kastis, George A., Dikaios, Nikolaos

“…Activation functions play a key role in neural networks, as they significantly affect the training process and the network’s performance. Based on the solution…”
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Correction to 'The unified transform for mixed boundary condition problems in unbounded domains' by Colbrook, Matthew J, Ayton, Lorna J, Fokas, Athanassios S

“…[This corrects the article DOI: 10.1098/rspa.2018.0605.]…”
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EEG for Current With Two-Dimensional Support by Dassios, George, Fokas, Athanassios S., Hashemzadeh, Parham, Leahy, Richard M.

“…Objective: The inverse problem of computing the neuronal current density from scalp EEG is highly illposed. In part, this is due to the nonuniqueness of the…”
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