Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Sergey Kabanikhin"'
Publikováno v:
Mathematics, Vol 11, Iss 21, p 4458 (2023)
In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for solving a variety of inverse problems, like inverse scattering or inverse problems for wave-type equations in both spectral and dynamic formulations. The ap
Externí odkaz:
https://doaj.org/article/3db1ebe0f05c4005ace1d52446382630
The optimization algorithms for solving multi-parameter inverse problem for the mathematical model of parabolic equations arising in social networks, epidemiology and economy are investigated. The data fitting is formulated as optimization of least s
Externí odkaz:
http://arxiv.org/abs/1906.05246
Publikováno v:
Journal of Inverse and Ill-posed Problems.
The problem of identification of unknown epidemiological parameters (contagiosity, the initial number of infected individuals, probability of being tested) of an agent-based model of COVID-19 spread in Novosibirsk region is solved and analyzed. The f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d870a3eff0f49fe9a7e462062a09b3e4
https://doi.org/10.1515/jiip-2021-0038
https://doi.org/10.1515/jiip-2021-0038
Publikováno v:
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS. 100:71-80
In this paper, we consider the problem of determining the source h(t)δ(x) of electromagnetic waves from GPR data. The task of electromagnetic sensing is to find the pulse characteristic of the medium r(t) and consists in calculating the response of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::be9da8883fef829e7e237d328d67f545
https://doi.org/10.31489/2020m4/71-80
https://doi.org/10.31489/2020m4/71-80
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:899-913
The problem of identification of coefficients and initial conditions for a boundary value problem for parabolic equations that reduces to a minimization problem of a misfit function is investigated. Firstly, the tensor train decomposition approach is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::42383f6a82692c900f2bbef71d1e88a4
https://doi.org/10.1515/jiip-2020-0083
https://doi.org/10.1515/jiip-2020-0083
Publikováno v:
Journal of Inverse and Ill-posed Problems. 29:65-79
The monitoring, analysis and prediction of epidemic spread in the region require the construction of mathematical model, big data processing and visualization because the amount of population and the size of the region could be huge. One of the impor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b427c7677c72ffcd1e82c9d3cc9a3d90
https://doi.org/10.1515/jiip-2020-0022
https://doi.org/10.1515/jiip-2020-0022
Autor:
Sergey Kabanikhin
Publikováno v:
Computational Mathematics and Mathematical Physics. 60:911-914
A brief definition of inverse and ill-posed problems is given, the history of studying such problems is presented, and the relations of inverse problems to computer simulation is discussed.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a78e5967b3d20c577ba8ee22796ffc26
https://doi.org/10.1134/s0965542520060044
https://doi.org/10.1134/s0965542520060044
Autor:
Sergey Kabanikhin, O. I. Krivorotko
Publikováno v:
Computational Mathematics and Mathematical Physics. 60:580-589
Inverse problems for systems of nonlinear ordinary differential equations are studied. In these problems, the unknown coefficients and initial data must be found given additional information about the solution to the corresponding direct problems; th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::225af117c7b408d3230ffa2ade734fdf
https://doi.org/10.1134/s0965542520040107
https://doi.org/10.1134/s0965542520040107
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:411-424
A seven-layers parabolic model with Stephan–Boltzmann interface conditions and Robin boundary conditions is mathematically formulated to describe the heat transfer process in environment-three layers clothing-air gap-body system. Based on this mode
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bd35f9a218ae4b87d537f0223436c2d5
https://doi.org/10.1515/jiip-2019-0060
https://doi.org/10.1515/jiip-2019-0060
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:287-297
We investigate the mathematical modeling of the 2D acoustic waves propagation, based on the conservation laws. The hyperbolic first-order system of partial differential equations is considered and solved by the method of S. K. Godunov. The inverse pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57e1232d227cc70219e8ccdd7fedbf31
https://doi.org/10.1515/jiip-2019-0061
https://doi.org/10.1515/jiip-2019-0061