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Nikolai D. Botkin
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2020 – today
- 2020
- [j16]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) - [c12]Michal Cialkowski, Nikolai D. Botkin, Jan Kolodziej, Andrzej Fraçkowiak, Wiktor Hoffmann:
Regularization of an Inverse Problem by Controlling the Stiffness of the Graphs of Approximate Solutions. MMSC 2020: 41-56 - [c11]Alexander Gerdt, Nikolai D. Botkin, Johannes Diepolder, Varvara L. Turova, Florian Holzapfel:
Viability Kernel Based Control Approach for a Flight Simulator Model. MMSC 2020: 68-93
2010 – 2019
- 2019
- [j15]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: 4235937:1-4235937:10 (2019) - [j14]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) - [j13]Nikolai D. Botkin
, Kirill Martynov, Varvara L. Turova
, Johannes Diepolder:
Generation of Dangerous Disturbances for Flight Systems. Dyn. Games Appl. 9(3): 628-651 (2019) - 2018
- [j12]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: 147-155 (2018) - [j11]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) - 2017
- [j10]Nikolai D. Botkin
, Varvara L. Turova
, Johannes Diepolder, Matthias Bittner, Florian Holzapfel:
Aircraft Control During Cruise Flight in Windshear Conditions: Viability Approach. Dyn. Games Appl. 7(4): 594-608 (2017) - [c10]Johannes Diepolder, Patrick Piprek
, Nikolai D. Botkin, Varvara L. Turova
, Florian Holzapfel:
A robust aircraft control approach in the presence of wind using viability theory. ANZCC 2017: 155-160 - [c9]Nikolai D. Botkin
, Varvara L. Turova
, Renée Lampe:
Feedback control of impaired cerebral autoregulation in preterm infants: Mathematical modelling. MED 2017: 229-234 - [c8]Kirill Martynov, Nikolai D. Botkin
, Varvara L. Turova
, Johannes Diepolder:
Real-time control of aircraft take-off in windshear. Part I: Aircraft model and control schemes. MED 2017: 277-284 - [c7]Kirill Martynov, Nikolai D. Botkin
, Varvara L. Turova
, Johannes Diepolder:
Real-time control of aircraft take-off in windshear. Part II: Simulations and model enhancement. MED 2017: 285-290 - 2016
- [j9]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
- [j8]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) - [c6]Nikolai D. Botkin
, Varvara L. Turova
:
Optimal Abort Landing in the Presence of Severe Windshears. System Modelling and Optimization 2015: 137-146 - [c5]Nikolai D. Botkin
, Varvara L. Turova
:
Aircraft Runway Acceleration in the Presence of Severe Wind Gusts. System Modelling and Optimization 2015: 147-158 - [c4]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 - 2014
- [j7]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) - [j6]Renée Lampe
, Nikolai D. Botkin
, Varvara L. Turova
, Tobias Blumenstein
, Ana Alves-Pinto:
Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation: Towards Preventing Intracranial Hemorrhages in Preterm Newborns. Comput. Math. Methods Medicine 2014: 965275:1-965275:9 (2014) - 2013
- [c3]Nikolai D. Botkin
, Varvara L. Turova
:
Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique. System Modelling and Optimization 2013: 36-51 - 2012
- [p1]Nikolai D. Botkin
, Karl-Heinz Hoffmann, Varvara L. Turova
:
Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 521-540 - 2011
- [j5]Nikolai D. Botkin
, Karl-Heinz Hoffmann, Varvara L. Turova
:
Stable Numerical Schemes for Solving Hamilton-Jacobi-Bellman-Isaacs Equations. SIAM J. Sci. Comput. 33(2): 992-1007 (2011) - [c2]Nikolai D. Botkin
, Karl-Heinz Hoffmann, Natalie Mayer, Varvara L. Turova
:
Computation of Value Functions in Nonlinear Differential Games with State Constraints. System Modelling and Optimization 2011: 235-244 - 2010
- [j4]Nikolai D. Botkin
, E. A. Ryazantseva:
Structure of Viability Kernels for Some Linear Differential Games. J. Optim. Theory Appl. 147(1): 42-57 (2010)
2000 – 2009
- 2007
- [j3]Nikolai D. Botkin
, Karl-Heinz Hoffmann, Oleg A. Pykhteev
, Varvara L. Turova
:
Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. J. Frankl. Inst. 344(5): 520-534 (2007) - 2005
- [j2]Nikolai D. Botkin
, Josef Stoer:
Minimization of convex functions on the convex hull of a point set. Math. Methods Oper. Res. 62(2): 167-185 (2005) - [j1]Karl-Heinz Hoffmann, Nikolai D. Botkin
, Valery N. Starovoitov:
Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids. SIAM J. Appl. Math. 65(3): 983-1005 (2005)
1990 – 1999
- 1993
- [c1]Nikolai D. Botkin, V. L. Turova-Botkina:
An algorithm for finding the chebyshev center of a convex polyhedron. System Modelling and Optimization 1993: 833-844
Coauthor Index
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