Nikolai D. Botkin

Publication Activity (10 Years)

Years Active: 1993-2020
Publications (10 Years): 18

Top Topics

Mathematical Model

Nasa Langley Research Center

Top Venues

System Modelling and Optimization

Commun. Nonlinear Sci. Numer. Simul.

Comput. Math. Methods Medicine

Publications

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)
Alexander Gerdt, Nikolai D. Botkin, Johannes Diepolder, Varvara L. Turova, Florian Holzapfel
Viability Kernel Based Control Approach for a Flight Simulator Model. 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, Kirill Martynov, Varvara L. Turova, Johannes Diepolder
Generation of Dangerous Disturbances for Flight Systems. Dyn. Games Appl. 9 (3) (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)
Nikolai D. Botkin, Varvara L. Turova, Renée Lampe
Feedback control of impaired cerebral autoregulation in preterm infants: Mathematical modelling. MED (2017)
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)
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) (2017)
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)
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)
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, 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)
Nikolai D. Botkin, Varvara L. Turova
Aircraft Runway Acceleration in the Presence of Severe Wind Gusts. 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)
Nikolai D. Botkin, Varvara L. Turova
Optimal Abort Landing in the Presence of Severe Windshears. System Modelling and Optimization (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)
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 (2014)
Nikolai D. Botkin, Varvara L. Turova
Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique. System Modelling and Optimization (2013)
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) (2011)
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)
Nikolai D. Botkin, E. A. Ryazantseva
Structure of Viability Kernels for Some Linear Differential Games. J. Optim. Theory Appl. 147 (1) (2010)
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) (2007)
Nikolai D. Botkin, Josef Stoer
Minimization of convex functions on the convex hull of a point set. Math. Methods Oper. Res. 62 (2) (2005)
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) (2005)
Nikolai D. Botkin, V. L. Turova-Botkina
An algorithm for finding the chebyshev center of a convex polyhedron. System Modelling and Optimization (1993)