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ORCIDAlexander Yu. Chebotarev
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Journal Articles
- 2024
[j13]A. G. Maslovskaya
, Elena Veselova, Alexander Yu. Chebotarev, Andrey E. Kovtanyuk:
Theoretical and numerical study of the Landau-Khalatnikov model describing a formation of 2D domain patterns in ferroelectrics. Appl. Math. Comput. 466: 128471 (2024)- 2023
- [j12]Elena Veselova, Anna Maslovskaya, Alexander Yu. Chebotarev:
Size-Dependent Switching in Thin Ferroelectric Films: Mathematical Aspects and Finite Element Simulation. Comput. 11(1): 14 (2023) - [j11]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Renée Lampe:
Mathematical modeling of cerebral oxygen transport from capillaries to tissue. Frontiers Appl. Math. Stat. 9 (2023) - 2022
- [j10]Andrey E. Kovtanyuk, Varvara L. Turova, Irina Sidorenko, Alexander Yu. Chebotarev, Renée Lampe:
Modeling of the cerebral blood circulation in a capillary network accounting for the influence of the endothelial surface layer. Comput. Methods Programs Biomed. 224: 107008 (2022) - 2021
- [j9]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Varvara L. Turova, Irina Sidorenko, Renée Lampe:
An inverse problem for equations of cerebral oxygen transport. Appl. Math. Comput. 402: 126154 (2021) - [j8]A. G. Maslovskaya, L. I. Moroz, Alexander Yu. Chebotarev, Andrey E. Kovtanyuk:
Theoretical and numerical analysis of the Landau-Khalatnikov model of ferroelectric hysteresis. Commun. Nonlinear Sci. Numer. Simul. 93: 105524 (2021) - 2020
- [j7]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Varvara L. Turova, Irina N. Sidorenko, Renée Lampe:
Nonstationary Model of Oxygen Transport in Brain Tissue. Comput. Math. Methods Medicine 2020: 4861654:1-4861654:9 (2020) - 2019
- [j6]Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin:
Problem of radiation heat exchange with boundary conditions of the Cauchy type. Commun. Nonlinear Sci. Numer. Simul. 75: 262-269 (2019) - 2018
- [j5]Alexander Yu. Chebotarev, Gleb V. Grenkin, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-Heinz Hoffmann:
Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Commun. Nonlinear Sci. Numer. Simul. 57: 290-298 (2018) - 2016
- [j4]Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Gleb V. Grenkin, Nikolai D. Botkin, Karl-Heinz Hoffmann:
Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Appl. Math. Comput. 289: 371-380 (2016) - 2015
- [j3]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann:
Unique solvability of a steady-state complex heat transfer model. Commun. Nonlinear Sci. Numer. Simul. 20(3): 776-784 (2015) - 2014
- [j2]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann:
Solvability of P1 approximation of a conductive-radiative heat transfer problem. Appl. Math. Comput. 249: 247-252 (2014) - 2013
- [j1]Andrey E. Kovtanyuk, Alexander Yu. Chebotarev:
An iterative method for solving a complex heat transfer problem. Appl. Math. Comput. 219(17): 9356-9362 (2013)
Conference and Workshop Papers
- 2020
- [c5]Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Pavel Mesenev:
Optimization Algorithm for Radiative-Conductive Heat Transfer Model with Boundary Conditions of Cauchy Type. MMSC 2020: 29-40 - 2016
- [c4]Alexander Yu. Chebotarev, Gleb Grenkin, Andrey E. Kovtanyuk:
Optimal Control Algorithm for Complex Heat Transfer Model. DOOR (Supplement) 2016: 165-177 - [c3]Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Veronika Pestretsova:
Optimization Iterative Procedure for Radiative-Conductive Heat Transfer Model. DOOR (Supplement) 2016: 178-184 - [c2]Gleb Grenkin, Alexander Yu. Chebotarev:
Optimal Control for Radiative Heat Transfer Model with Monotonic Cost Functionals. DOOR (Supplement) 2016: 210-217 - 2015
- [c1]Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-Heinz Hoffmann:
Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer. System Modelling and Optimization 2015: 209-219
Coauthor Index
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