Nikolai D. Botkin

Orcid: 0000-0003-2724-4817

According to our database1, Nikolai D. Botkin authored at least 29 papers between 1993 and 2020.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of five.

Timeline

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Bibliography

2020
Nonstationary Model of Oxygen Transport in Brain Tissue.
Comput. Math. Methods Medicine, 2020

Viability Kernel Based Control Approach for a Flight Simulator Model.
Proceedings of the Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, 2020

Regularization of an Inverse Problem by Controlling the Stiffness of the Graphs of Approximate Solutions.
Proceedings of the Workshop on Mathematical Modeling and Scientific Computing: Focus on Complex Processes and Systems, 2020

2019
Generation of Dangerous Disturbances for Flight Systems.
Dyn. Games Appl., 2019

Problem of radiation heat exchange with boundary conditions of the Cauchy type.
Commun. Nonlinear Sci. Numer. Simul., 2019

Accounting for Tube Hematocrit in Modeling of Blood Flow in Cerebral Capillary Networks.
Comput. Math. Methods Medicine, 2019

2018
Diffusion approximation of the radiative-conductive heat transfer model with Fresnel matching conditions.
Commun. Nonlinear Sci. Numer. Simul., 2018

Direct modeling of blood flow through the vascular network of the germinal matrix.
Comput. Biol. Medicine, 2018

2017
Aircraft Control During Cruise Flight in Windshear Conditions: Viability Approach.
Dyn. Games Appl., 2017

Real-time control of aircraft take-off in windshear. Part II: Simulations and model enhancement.
Proceedings of the 25th Mediterranean Conference on Control and Automation, 2017

Real-time control of aircraft take-off in windshear. Part I: Aircraft model and control schemes.
Proceedings of the 25th Mediterranean Conference on Control and Automation, 2017

Feedback control of impaired cerebral autoregulation in preterm infants: Mathematical modelling.
Proceedings of the 25th Mediterranean Conference on Control and Automation, 2017

A robust aircraft control approach in the presence of wind using viability theory.
Proceedings of the 2017 Australian and New Zealand Control Conference (ANZCC), 2017

2016
Nondegeneracy of optimality conditions in control problems for a radiative-conductive heat transfer model.
Appl. Math. Comput., 2016

2015
Unique solvability of a steady-state complex heat transfer model.
Commun. Nonlinear Sci. Numer. Simul., 2015

Strong Optimal Controls in a Steady-State Problem of Complex Heat Transfer.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

Aircraft Runway Acceleration in the Presence of Severe Wind Gusts.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

Optimal Abort Landing in the Presence of Severe Windshears.
Proceedings of the System Modeling and Optimization - 27th IFIP TC 7 Conference, CSMO 2015, 2015

2014
Mathematical Modelling of Cerebral Blood Circulation and Cerebral Autoregulation: Towards Preventing Intracranial Hemorrhages in Preterm Newborns.
Comput. Math. Methods Medicine, 2014

Solvability of P<sub>1</sub> approximation of a conductive-radiative heat transfer problem.
Appl. Math. Comput., 2014

2013
Simulation of Acoustic Wave Propagation in Anisotropic Media Using Dynamic Programming Technique.
Proceedings of the System Modeling and Optimization, 2013

2012
Freezing of Living Cells: Mathematical Models and Design of Optimal Cooling Protocols.
Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011
Stable Numerical Schemes for Solving Hamilton-Jacobi-Bellman-Isaacs Equations.
SIAM J. Sci. Comput., 2011

Computation of Value Functions in Nonlinear Differential Games with State Constraints.
Proceedings of the System Modeling and Optimization, 2011

2010
Structure of Viability Kernels for Some Linear Differential Games.
J. Optim. Theory Appl., 2010

2007
Dispersion relations for acoustic waves in heterogeneous multi-layered structures contacting with fluids.
J. Frankl. Inst., 2007

2005
Homogenization of Interfaces Between Rapidly Oscillating Fine Elastic Structures and Fluids.
SIAM J. Appl. Math., 2005

Minimization of convex functions on the convex hull of a point set.
Math. Methods Oper. Res., 2005

1993
An algorithm for finding the chebyshev center of a convex polyhedron.
Proceedings of the System Modelling and Optimization: Proceedings of the 16th IFIP-TC7 Conference, 1993


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