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AUTOBIOGRAPHY

I was born in 1950 in Moscow. In 1967 I entered the Faculty of Mechanics and Mathematics of Moscow State University. I was studying at the Department of Computer Mathematics, transformed in 1970 in the new Faculty of Cybernetics and Computer Science, which I graduated in 1972. Then I went to the graduate school of this faculty where my supervisor was N.S. Bakhvalov.

In 1975 I finished the graduade school and in the next year at Moscow State University I defended the candidate dissertation (Ph. D.) "Best Methods of Approximation, Using the Information about Finite Values of Functions".

Since December 1975 I am teaching at the Department of Higher Mathematics of Moscow Institute of Aviation Technology (in 2015 it was integrated with Moscow Aviation Institute (National Research University)) as Assistant Professor (1975-1979), Associate Professor (1979-1994), and Professor (since 1994).

Since 1981 I am a permanent participant of the seminar of V.M. Tikhomirov on Approximation Theory at Moscow State University. In 1993 I defended doctoral dissertation "Optimal Recovery of Linear Functionals on Classes of Analityc Functions" at Steklov Mathematical Institute. Since February 1996 I am the head of Higher Mathematics Department of MATI. In 2000 and 2001 I was awarded by honorary title of Soros Professor. Since September 2008 I also teach at the Department of General Control of  Mechanics and Mathematics Faculty of Moscow State University.


GRANTS

2017-2019. "Controllability and Optimality Conditions". RFBR #17-01-00649.

2016-2017. The President Grant for State Support of Leading Scientific Schools in Russian Federation ``Extremum Conditions in Problems with Constraints without any a Priori Assumptions of Normality. Covering of Nonlinear Mappings and its Applications. Nonlinear Evolutionary Equations. Theoretical and Computational Aspects", NSH-8215.2016.1.

2014-2016. "Extremum Theory, Convex Analysis and Applications". RFBR #14-01-00744.

2014-2016. "Optimization of Processes with Inaccurate Data on the Basis of Optimal Recovery Theory". RFBR #14-01-00456.

2014-2016. "Methods of Nonlinear Analysis in Solving of Problems of Control and Optimization". RFBR #14-01-92004 (joint research with National Science Council of Taiwan).

2014. "The Theory of Optimal Recovery: Methods and Solutions", FAPESP (Brazil) #2013/15840-4.

2013-2015. "Mathematical Methods of Forcasting and Recovery Dependencies on Incomplete Data Using Probabilistic, Agorithmic, and Wavelet Methods". RFBR #13-01-12447 (oriented basic researches on actual interdisciplinary themes).

2012-2013. "Optimality Conditions in Mathematical Models with Inaccurate Data'', RFBR #12-01-90014 (joint research with Belorussian Foundation for Basic Research).

2012. "Development and Application of Methods of the Functional Analysis to the Theory of Extremum and Optimal Control, Differential Equations and Problems of Mathematical Modeling". PFUR.

2012-2014. "Development of Methods of the Nonlinear Analysis and their Application to the Theory of Dynamic Systems, Optimization, and Problems of Mathematical Modeling of Physical Processes". PFUR.

2012-2014. "Degenerate Optimization Problems, and Singular Points of Extension of Solutions of Equations of the Potential Field with Inexact Boundaries". RFBR #12-01-00506.

2012-2013. "Development of Mathematical Methods for the Investigation of Problems of Control and Optimization and their Applications". RFBR #12-01-91150 (joint research with National Natural Science Foundation of China).

2012-2013. The President Grant for State Support of Leading Scientific Schools in Russian Federation ``Control Problems, Nonlinear Analysis, Optimal Numerical Algorithms, Harmonic Analysis, and Applications", NSH-6003.2012.1.

2011-2012. "Fundamental Mathematical Models of Economic Agents Behavior in System of Intermediate Term Forecasting of Russian Economic Dynamics". RFBR #11-01-12084 (oriented basic researches on actual interdisciplinary themes).

2011-2013. "Theory of Extremal Problems and the Best Approximation of Linear Operators from Inaccurate Data". RFBR #11-01-00529.

2010-2011. "Optimality Conditions and Controllability for Scalar and Vector Optimization Problems". RFBR #10-01-90002 (joint research with Belorussian Foundation for Basic Research).

2010-2012. "Optimal Models of Recovery for Solutions of Mathematical Physics Equations". RFBR #10-01-00188.

2009-2011. "Abnormal Optimal Control Problems and Constrained Extremal Problems". RFBR #09-01-00619.

2009-2010. "Convex Analysis, Extremal problems, and Optimal Recovery". RFBR #09-01-90360 (joint research with Ministry of Education and Science of Republic of South Ossetia).

2009. Organization and conduction of the International Conference "Optimization and Approximation" dedicated to the 75th birthday of V.M. Tikhomirov. RFBR #09-01-06097.

2009-2011. "Topological and Variational Methods in Optimization Problems". RFBR #09-01-92003 (joint research with National Science Council of Taiwan).

2009-2010. "Economic and Geometry Extremal Problems on Equipped Surfaces". RFBR #09-01-90200 (joint research with Ministry of Education, Culture and Science of Mongolia).

2009-2011. Target grant "Development of Scientific Potential of Higher School, 2.1.1/2775. "Methods of Harmonic Analysis in Theory of Differential Equations and Functional Spaces.

2009. "Participation in the International Symposium on Optimization and Optimal Control (ISO2C)". RFBR, National Science Concil of the ROC, Research Center for Nonlinear Analysis and Discrete Mathematics and Department of Applied Mathematics, National Sun Yat-sen University.

2008-2009. "Abnormal Solutions of Scalar and Vector Optimization Problems and Systems with Inaccurate Data". RFBR #08-01-90001 (joint research with Belorussian Foundation for Basic Research).

2008-2009. The President Grant for State Support of Leading Scientific Schools in Russian Federation ``Optimal Control, Nonlinear Analysis, Optimal Numerical Algorithms, Harmonic Analysis, and Applications", NSH-3233.2008.1.

2008-2010. "Extremal Problems, Best Approximation, and Optimal Recovery". RFBR #08-01-00450.

2007-2008. "Extremal Problems of Surfaces Geometry and Optimal Recovery". RFBR #07-01-90102 (joint research with Ministry of Education, Culture and Science of Mongolia).

2007. Organization and conduction of the International Conference "Extremal Problems in Complex and Real Analysis". RFBR #07-01-06033.

2007. "Optimal Recovery, Extremal Problems and Composition Operators in Spaces of Holomorphic Functions". Mathematisches Forschungsinstitut Oberwolfach "Research in Pairs".

2006-2007. "High Order Optimality Conditions in Optimization Problems and Extremal Problems of Optimal Recovery". RFBR #06-01-81004 (joint research with Belorussian Foundation for Basic Research).

2006-2007. The President Grant for State Support of Leading Scientific Schools in Russian Federation ``Approximation, Extremum Theory, Harmonic Analysis and their Applications", NSH-5813.2006.1

2006-2008. "Optimality Conditions for Degenerate Systems and Optimal Recovery Problems, Nash Optimisation of Rayleigh Quotient". RFBR #06-01-00530.

2005-2007. "Extremal Problems of Approximation Theory and General Theory of Extremum". RFBR #05-01-00261.

2005-2007. "Optimality Conditions in Optimality Constrained Problems and Problems of Optimal Recovery". RFBR #05-01-00275.

2005-2006. "On Stability of Solution of Ordinary Differential Equations System Belongs to Some Class on Planar Graphs". RFBR #05-01-00675.

2005. "Convex Analysis, Extremum Theory, and Optimal Recovery of Operators". Universities of Russia UR.04.02.536.

2005. "Problems of Optimal Recovery in Models Described by Parabolic and Elliptic Type Equations". Universities of Russia UR.03.01.130.

2004. Organization and conduction of the International Conference "Extremal Problems and Approximation" dedicated to the 70th birthday of V.M. Tikhomirov. RFBR #04-01-10102.

2004-2005. "Optimal Recovery and Extremum Theory". Universities of Russia UR.04.03.067.

2003. "Development of Mathematical Education Methodology in Technical Universities for Training of Engineers Specialized in the Control of Complicated Transport Systems on the Example of Methods of the Discrete Mathematics". Ministry of Education of Russia, #410103.

2003. "Development of Mathematical Education Methodology in Technical Universities for Training of Students of Natural and Engineering Specialty on the Example of Integral Calculus". Ministry of Education of Russia, #410203.

2003-2005. The President Grant for State Support of Leading Scientific Schools in Russian Federation ``Approximation, Extremum Theory, Harmonic Analysis in Number Theory", NSH-304.2003.1

2002. Multimedia Textbook "Mathematics for Engineers". Scientific and Technical Program of Ministry of Education of Russia "Scientific, Methodic, Material, Technical, and Information Support of Education System" #2.7.6.(43.0)99.072.

2002-2003. "Application of Harmonic and Wavelet-Analysis to Optimal Recovery Problems". RFBR #02-01-39012 (joint research with National Natural Science Foundation of China).

2002-2003. "Optimal Methods for Coding of Functions". Universities of Russia UR.04.03.013.

2002-2004. "Optimal Recovery of Functions, Operators, and Stochastic Processes''. RFBR #02-01-00386.

2001. Grant of Moscow in the Field of Natural Sciences #P2001-432.

2001. Participation in the International Conference "Computational Methods and Function Theory 2001", National Science Foundation (USA).

2001. Participation in the International Conference "Computational Methods and Function Theory 2001", RFBR #01-01-10619.

2000. Grant of Moscow and International Soros Science Education Program (ISSEP).

2000. Participation in the 4th International Conference on Functional Analysis and Approximation Theory. RFBR #00-01-10870.

2000-2002. Federal Program on Support of Leading Scientific Schools. RFBR #00-15-96109 (Scientific Schools of Russia).

1999-2001. "Algorithms of Approximation and Recovery of Smooth and Analytic Functions of Many Variables and Stochastic Processes; Their Complexity''. RFBR #99-01-01181.

1998-2000. "Best Methods of Approximation and Wavelets". RFBR #96-01-00035 (joint research with National Natural Science Foundation of China).

1997-2000. "Development of the Educational Scientific Center on Mechanics and its Applications in Techniques and Technology". State Support Program on Integration of Higher Education and Basic Science in 1997-2000, #480.

1997-1999. "Best Methods of Approximation and Recovery of Smooth and Analytic Functions, Application of Harmonic Analysis in Number Theory, Methods of Research of Nonlinear Problems of Optimal Control", Federal Program on Support of Leading Scientific Schools. RFBR #96-15-96072 (Scientific Schools of Russia).

1996-1998. "Optimal Algorithms and Complexity of Approximation and Recovery". RFBR #96-01-00325.

1995-1996. "Selected Chapters of Approximation and Classical Analysis". RFBR #95-01-02839-d (Publishing Grant).

1994-1995. "Spectral Theory of Nonlinear Differential Equations, Harmonic Analysis and Approximation". ISF, MP1000, MP1300.

1993-1995. "Best Methods of Approximation and Recovery of Smooth and Analytic Functions". RFBR #93-01-00237.

1993. "Optimal Recovery of Analytic Functions". ISF.


 

HONORS AND AWARDS

2007. Award of Ministry of Education and Science "Honorary Member of Vocational Education of Russian Federation"
2005. Medal "Minister of USSR Marshal D.F. Ustinov"
2001. Soros Professor (ISSEP)
2000. Soros Professor (ISSEP)
1997. Medal "In Memory of 850th Anniversary of Moscow"
1993. Certificated Associate Professor of MATI

Listed in

  • 2000 Outstanding Intellectuals of the 20th Century
  • Dictionary of Internatianal Biography
  • Famous Russians
  • Outstanding People of the 20th Century
  • Whos Who in Science and Engineering
  • Whos Who in the World

 

RESEARCH INTERESTS
 

    • approximation theory
    • recovery from noisy information
    • recovery and approximation of analytic functions
    • n-widths
    • inequalities for derivatives
    • quadrature formulas

 

MEMBERSIP


 

TYPICAL COURSES TAUGHT

    • Linear Algebra and Analytic Geometry
    • Mathematical Analysis
    • Differential Equations
    • Theory of Probability
    • Mathematical Statistics
    • Numerical Methods
    • Calculus of Variations and Optimal Control
    • Optimal Recovery of Linear Operators
    • Convex Analysis