Nikolai D. Botkin

29 papers Journal 16Unranked 12

Year	Rank	Type	Title / Venue / Authors
2020	J	`jnl`	Nonstationary Model of Oxygen Transport in Brain Tissue. Comput. Math. Methods Medicine Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Varvara L. Turova, Irina N. Sidorenko, Renée Lampe
2020	—	`conf`	Regularization of an Inverse Problem by Controlling the Stiffness of the Graphs of Approximate Solutions. MMSC Michal Cialkowski, Nikolai D. Botkin, Jan Kolodziej, Andrzej Fraçkowiak, Wiktor Hoffmann
2020	—	`conf`	Viability Kernel Based Control Approach for a Flight Simulator Model. MMSC Alexander Gerdt, Nikolai D. Botkin, Johannes Diepolder, Varvara L. Turova, Florian Holzapfel
2019	J	`jnl`	Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks. Comput. Math. Methods Medicine Nikolai D. Botkin, Andrey E. Kovtanyuk, Varvara L. Turova, Irina N. Sidorenko, Renée Lampe
2019	J	`jnl`	Generation of Dangerous Disturbances for Flight Systems. Dyn. Games Appl. Nikolai D. Botkin, Kirill Martynov, Varvara L. Turova, Johannes Diepolder
2019	J	`jnl`	Problem of radiation heat exchange with boundary conditions of the Cauchy type. Commun. Nonlinear Sci. Numer. Simul. Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin
2018	J	`jnl`	Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions. Commun. Nonlinear Sci. Numer. Simul. Alexander Yu. Chebotarev, Gleb V. Grenkin, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-Heinz Hoffmann
2018	J	`jnl`	Direct modeling of blood flow through the vascular network of the germinal matrix. Comput. Biol. Medicine Nikolai D. Botkin, Andrey E. Kovtanyuk, Varvara L. Turova, Irina Sidorenko, Renée Lampe
2017	—	`conf`	A robust aircraft control approach in the presence of wind using viability theory. ANZCC Johannes Diepolder, Patrick Piprek, Nikolai D. Botkin, Varvara L. Turova, Florian Holzapfel
2017	J	`jnl`	Aircraft Control During Cruise Flight in Windshear Conditions: Viability Approach. Dyn. Games Appl. Nikolai D. Botkin, Varvara L. Turova, Johannes Diepolder, Matthias Bittner, Florian Holzapfel
2017	—	`conf`	Feedback control of impaired cerebral autoregulation in preterm infants: Mathematical modelling. MED Nikolai D. Botkin, Varvara L. Turova, Renée Lampe
2017	—	`conf`	Real-time control of aircraft take-off in windshear. Part I: Aircraft model and control schemes. MED Kirill Martynov, Nikolai D. Botkin, Varvara L. Turova, Johannes Diepolder
2017	—	`conf`	Real-time control of aircraft take-off in windshear. Part II: Simulations and model enhancement. MED Kirill Martynov, Nikolai D. Botkin, Varvara L. Turova, Johannes Diepolder
2016	J	`jnl`	Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model. Appl. Math. Comput. Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Gleb V. Grenkin, Nikolai D. Botkin, Karl-Heinz Hoffmann
2015	—	`conf`	Aircraft Runway Acceleration in the Presence of Severe Wind Gusts. System Modelling and Optimization Nikolai D. Botkin, Varvara L. Turova
2015	—	`conf`	Optimal Abort Landing in the Presence of Severe Windshears. System Modelling and Optimization Nikolai D. Botkin, Varvara L. Turova
2015	—	`conf`	Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer. System Modelling and Optimization Alexander Yu. Chebotarev, Andrey E. Kovtanyuk, Nikolai D. Botkin, Karl-Heinz Hoffmann
2015	J	`jnl`	Unique solvability of a steady-state complex heat transfer model. Commun. Nonlinear Sci. Numer. Simul. Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann
2014	J	`jnl`	Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation: Towards Preventing Intracranial Hemorrhages in Preterm Newborns. Comput. Math. Methods Medicine Renée Lampe, Nikolai D. Botkin, Varvara L. Turova, Tobias Blumenstein, Ana Alves-Pinto
2014	J	`jnl`	Solvability of P Appl. Math. Comput. Andrey E. Kovtanyuk, Alexander Yu. Chebotarev, Nikolai D. Botkin, Karl-Heinz Hoffmann
2013	—	`conf`	Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique. System Modelling and Optimization Nikolai D. Botkin, Varvara L. Turova
2012	—	`ch.`	Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols. Constrained Optimization and Optimal Control for Partial Differential Equations Nikolai D. Botkin, Karl-Heinz Hoffmann, Varvara L. Turova
2011	—	`conf`	Computation of Value Functions in Nonlinear Differential Games with State Constraints. System Modelling and Optimization Nikolai D. Botkin, Karl-Heinz Hoffmann, Natalie Mayer, Varvara L. Turova
2011	J	`jnl`	Stable Numerical Schemes for Solving Hamilton-Jacobi-Bellman-Isaacs Equations. SIAM J. Sci. Comput. Nikolai D. Botkin, Karl-Heinz Hoffmann, Varvara L. Turova
2010	J	`jnl`	Structure of Viability Kernels for Some Linear Differential Games. J. Optim. Theory Appl. Nikolai D. Botkin, E. A. Ryazantseva
2007	J	`jnl`	Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids. J. Frankl. Inst. Nikolai D. Botkin, Karl-Heinz Hoffmann, Oleg A. Pykhteev, Varvara L. Turova
2005	J	`jnl`	Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids. SIAM J. Appl. Math. Karl-Heinz Hoffmann, Nikolai D. Botkin, Valery N. Starovoitov
2005	J	`jnl`	Minimization of convex functions on the convex hull of a point set. Math. Methods Oper. Res. Nikolai D. Botkin, Josef Stoer
1993	—	`conf`	An algorithm for finding the chebyshev center of a convex polyhedron. System Modelling and Optimization Nikolai D. Botkin, V. L. Turova-Botkina