Andrey E. Kovtanyuk

Publication Activity (10 Years)

Years Active: 2009-2024
Publications (10 Years): 18

Top Topics

Jacobian Matrix

Mathematical Model

Boundary Conditions

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Comput. Math. Methods Medicine

Publications

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 (2024)
Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Renée Lampe
Mathematical modeling of cerebral oxygen transport from capillaries to tissue. Frontiers Appl. Math. Stat. 9 (2023)
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 (2022)
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 (2021)
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 (2021)
Andrey E. Kovtanyuk, Altynai Mukambaeva, Varvara L. Turova, Irina Sidorenko, Renée Lampe
Influence of the Endothelial Surface Layer on Blood Flow in Microvessels: Computer Modeling and Simulation. MMSC (2020)
Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Pavel Mesenev
Optimization Algorithm for Radiative-Conductive Heat Transfer Model with Boundary Conditions of Cauchy Type. MMSC (2020)
Irina Sidorenko, Varvara L. Turova, Andrey E. Kovtanyuk, Renée Lampe
The Numerical Assessment of Cerebral Blood Flow in Immature Brain of Preterm Infants (short paper). MMSC (2020)
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 (2020)
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 (2019)
Nikolai D. Botkin, Andrey E. Kovtanyuk, Varvara L. Turova, Irina N. Sidorenko, Renée Lampe
Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks. Comput. Math. Methods Medicine 2019 (2019)
Nikolai D. Botkin, Andrey E. Kovtanyuk, Varvara L. Turova, Irina Sidorenko, Renée Lampe
Direct modeling of blood flow through the vascular network of the germinal matrix. Comput. Biol. Medicine 92 (2018)
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 (2018)
Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Veronika Pestretsova
Optimization Iterative Procedure for Radiative-Conductive Heat Transfer Model. DOOR (Supplement) (2016)
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 (2016)
Alexander Yu. Chebotarev, Gleb Grenkin, Andrey E. Kovtanyuk
Optimal Control Algorithm for Complex Heat Transfer Model. DOOR (Supplement) (2016)
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)
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) (2015)
Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann
approximation of a conductive-radiative heat transfer problem. Appl. Math. Comput. 249 (2014)
Andrey E. Kovtanyuk, Alexander Yu. Chebotarev
An iterative method for solving a complex heat transfer problem. Appl. Math. Comput. 219 (17) (2013)
Andrey E. Kovtanyuk, Igor V. Prokhorov
A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium. J. Comput. Appl. Math. 235 (8) (2011)
Andrey E. Kovtanyuk, Konstantin V. Nefedev, Igor V. Prokhorov
Advanced Computing Method for Solving of the Polarized-Radiation Transfer Equation. MTPP (2010)
Andrey E. Kovtanyuk, Igor V. Prokhorov
Some Inverse Problem for the Polarized-Radiation Transfer Equation. HPSC (2009)