Zobrazeno 1 - 10
of 409
pro vyhledávání: '"A S Fokas"'
Publikováno v:
Royal Society Open Science, Vol 10, Iss 8 (2023)
The most extensively used mathematical models in epidemiology are the susceptible-exposed-infectious-recovered (SEIR) type models with constant coefficients. For the first wave of the COVID-19 epidemic, such models predict that at large times equilib
Externí odkaz:
https://doaj.org/article/45ebec185e5144f9b2bbf4552d12637a
Publikováno v:
Encyclopedia, Vol 2, Iss 2, Pp 679-689 (2022)
Predictive modelling of infectious diseases is very important in planning public health policies, particularly during outbreaks. This work reviews the forecasting and mechanistic models published earlier. It is emphasized that researchers’ forecast
Externí odkaz:
https://doaj.org/article/fecb60f52d1a4283aa3aa08b63593063
Publikováno v:
Mathematics, Vol 11, Iss 23, p 4757 (2023)
Since their introduction, Chebyshev polynomials of the first kind have been extensively investigated, especially in the context of approximation and interpolation. Although standard interpolation methods usually employ equally spaced points, this is
Externí odkaz:
https://doaj.org/article/0e32dd8f7c06497e880ac7a8475a675b
Autor:
A. S. Fokas, A. Latifi
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 2 (2022)
We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation. The forcing consists of terms involving quadratic products of certain eigenfun
Externí odkaz:
https://doaj.org/article/33ca96a6aece46cb82936a0c80de0fe4
Publikováno v:
Scientific Reports, Vol 11, Iss 1, Pp 1-12 (2021)
Abstract Guided by a rigorous mathematical result, we have earlier introduced a numerical algorithm, which using as input the cumulative number of deaths caused by COVID-19, can estimate the effect of easing of the lockdown conditions. Applying this
Externí odkaz:
https://doaj.org/article/82b664a6c5cc4c86a437e60d2b6a72d6
Autor:
A. S. Fokas
Publikováno v:
European Physical Journal C: Particles and Fields, Vol 79, Iss 3, Pp 1-11 (2019)
Abstract The equations of motion, as well as the potential energy V of a self-gravitating N-body system in the first post-Minkowskian approximation have recently been derived. Here, for the particular case of two equal masses, the ultra-relativistic
Externí odkaz:
https://doaj.org/article/91db450c270b4b06b9356bbf738a1b5b
Publikováno v:
Fractal and Fractional, Vol 6, Iss 8, p 425 (2022)
The celebrated Korteweg–de Vries and Kadomtsev–Petviashvili (KP) equations are prototypical examples of integrable evolution equations in one and two spatial dimensions, respectively. The question of constructing integrable evolution equations in
Externí odkaz:
https://doaj.org/article/2bc1a79b6c9d49d79edc0a501b0ba527
Autor:
Nicholas E. Protonotarios, Athanassios S. Fokas, Alexandros Vrachliotis, Vangelis Marinakis, Nikolaos Dikaios, George A. Kastis
Publikováno v:
Applied Sciences, Vol 12, Iss 7, p 3335 (2022)
Over the last decades, there has been an increasing interest in dedicated preclinical imaging modalities for research in biomedicine. Especially in the case of positron emission tomography (PET), reconstructed images provide useful information of the
Externí odkaz:
https://doaj.org/article/4d4da33f88ad4236a46de7703c6850ef
Autor:
A S Fokas, K Kalimeris
Publikováno v:
IMA Journal of Applied Mathematics. 87:1010-1042
We derive the solution of the one-dimensional wave equation for the Dirichlet and Robin initial-boundary value problems (IBVPs) formulated on the half line and the finite interval, with non-homogeneous boundary conditions. Although explicit formulas
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7f32fb51b5180d62aa4d998c5e02bca4
https://doi.org/10.1093/imamat/hxac030
https://doi.org/10.1093/imamat/hxac030
Publikováno v:
Quarterly of Applied Mathematics. 80:481-506
We study the large time behaviour of the solution of a linear dispersive PDEs posed on a finite interval, when the prescribed boundary conditions are time periodic. We use the approach pioneered in Fokas & Lenells 2012 for nonlinear integrable PDEs.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe1014ab6cd0c1e94862a0621af4abb1
https://doi.org/10.1090/qam/1615
https://doi.org/10.1090/qam/1615