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Akademický článek
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Autor:
Alemdar Hasanoglu
Publikováno v:
Applicable Analysis. 90:1453-1459
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e262b58ab86728e44f7183b054472ac
https://doi.org/10.1080/00036811.2010.483431
https://doi.org/10.1080/00036811.2010.483431
Autor:
Yury E. Anikonov, Alexander V. Goncharsky, Mikhail M. Lavrentiev, Vitaly P. Tanana, Anatoly B. Bakushinskii, Alemdar Hasanov, Vladimir G. Romanov, Sergey Kabanikhin, Alexander V. Tikhonravov, Maxim A. Shishlenin, Vladimir V. Vasin, Anatoly G. Yagola
Publikováno v:
jiip. 19:533-536
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4f6ef3b1c894ffedec523a189cd24814
https://doi.org/10.1515/jiip.2011.043
https://doi.org/10.1515/jiip.2011.043
Publikováno v:
SIAM Journal on Imaging Sciences. 16:35-63
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fdc59bada91917b913fa0bac52a434a
https://doi.org/10.1137/22m1509837
https://doi.org/10.1137/22m1509837
Autor:
Michael V. Klibanov
An overdetermination is introduced in an initial condition for the second order mean field games system (MFGS). This makes the resulting problem close to the classical ill-posed Cauchy problems for PDEs. Indeed, in such a problem an overdetermination
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ad1eecd90b60e726b635730bb9f3e3f
http://arxiv.org/abs/2303.03928
http://arxiv.org/abs/2303.03928
Publikováno v:
Inverse Problems and Imaging. 16:1579-1618
To compute the spatially distributed dielectric constant from the backscattering computationally simulated ane experimentally collected data, we study a coefficient inverse problem for a 1D hyperbolic equation. To solve this inverse problem, we estab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d9ccd80635babd0d0d31253a44dc02cb
https://doi.org/10.3934/ipi.2021068
https://doi.org/10.3934/ipi.2021068
Publikováno v:
Journal of Inverse and Ill-posed Problems.
It is demonstrated in this paper that the propagation of the electric wave field in a heterogeneous medium in 3D can sometimes be governed well by a single scalar second order PDE, which is derived from Maxwell’s equations. The corresponding compon
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::542ebd0916410de6eb2e57c07814cff5
https://doi.org/10.1515/jiip-2021-0085
https://doi.org/10.1515/jiip-2021-0085
Publikováno v:
Journal of Inverse and Ill-posed Problems. 28:693-711
We propose a new approach to constructing globally strictly convex objective functional in a 1-D inverse medium scattering problem using multi-frequency backscattering data. The global convexity of the proposed objective functional is proved. We also
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b0d7b11fa22b4f5ecc9bb89b8b5d804d
https://doi.org/10.1515/jiip-2020-0039
https://doi.org/10.1515/jiip-2020-0039
Publikováno v:
SIAM Journal on Scientific Computing. 42:B1173-B1192
We propose a new numerical method to solve the linearized problem of the travel time tomography with incomplete data. Our method is based on the technique of the truncation of the Fourier series wi...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cbbcd6e7e13edeb7a3977ae8de420d1b
https://doi.org/10.1137/19m1299487
https://doi.org/10.1137/19m1299487