Curriculum Vitae

Name: Anatoly P.GOLUB.
Date of birth: November 03, 1956.
Gratuated Gadyach Secondary School No.2 (town Gadyach of Poltava region, Ukraine) in 1973.
Gratuated Kiev University in 1978.
Ph.D.Degree (Kandidate of Sciences, Physics & Mathematics):
Institute of Mathematics of National Academy of Sciences of Ukraine under supervision of Corresponding Member of NASU V.K.DZYADYK - 1983.
 
Doctor of Sciences (Physics and Mathematics) - 2010.  
Member of Spicialized Scientific Counsil D26.206.02.
Affiliate Member of the American Mathematical Society from 2006.
Member of Kyiv Mathematical Society.

Affiliations:

Scientific Supervision:

  • 2014 - Yakiv IVASCHUK has defended Dissertation «Extremal and approximation properties of functions from interpolation classes» on Scientific Degree of Kandidate of Sciences (Physics & Mathematics) in Speciality «Mathematical Analysis». Official opponents were Doctor of Sciences Professor D.I.BODNAR and Kandidate of Sciences P.S.YANCHUK.
  • 2015 - Lilia CHERNETSKA has defended Dissertation «Generalized moment representations and rational approximations of functions of several variables» on Scientific Degree of Kandidate of Sciences (Physics & Mathematics) in Speciality «Mathematical Analysis». Official opponents were Doctor of Sciences Professor D.I.BODNAR and Kandidate of Sciences O.M.SUS'.
  • 2017 - Hanna VESELOVSKA has defended Dissertation «Padé type approximants for special functions of several variables» on Scientific Degree of Kandidate of Sciences (Physics & Mathematics) in Speciality «Mathematical Analysis». Official opponents were Doctor of Sciences Professor D.I.BODNAR and Kandidate of Sciences A.P.MUSIYENKO.

Teaching:

Opposition to Theses

  • 2009 - Vitaliy IVANYUK «Computer modeling of dynamic objects with complex transfer functions using chain-fraction approximations» for the Degree of Candidate of Engineering Sciences, specialty 01.05.02 – «Mathematical Simulation and Numerical Methods». Scientific Advisor - Doctor of Engineering Sciences Anatoliy Verlan.
  • 2010 - Yaroslav NOVAK «Approximation and interpolation properties of simle fractions» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Doctor of Physical and Mathematical Sciences Andrei Pokrovskii.
  • 2011 - Olena GOROKHOVA «Approximate characteristics of weak solutions of operator equations by discrete information» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Academician of NAS of Ukraine Mykola Korneichuk.
  • 2012 - Khrystina KUCHMINSKA «Development of analytic theory of two-dimensional continued fractions» for the Degree of Doctor of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Consultant - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.
  • 2013 - Roman KATSALA «Development of functions in continued fraction» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Candidate of Physical and Mathematical Sciences Mykhailo Pahyria.
  • 2014 - Oksana BARAN «Approximation of functions of several variables by branched continued fractions with inequivalent variables» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.
  • 2016 - Maria BUBNIAK «Sets of convergence for periodic branched continued fractions of the special form» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Doctor of Physical and Mathematical Sciences Dmytro Bodnar.
  • 2018 - Ivan KOVALYOV «Indefinite Stieltjes moment problem and generalized Jacobi matrices» for the Degree of Candidate of Physical and Mathematical Sciences, specialty 01.01.01 – «Mathematical Analysis». Scientific Advisor - Doctor of Physical and Mathematical Sciences Volodimir Derkach.

Areas of Research:

  • Approximation Theory,

  • Padé and Rational Approximants,

  • Biorthogonal Polynomials,

  • Special Functions,

  • Numerical Analysis.

Summary of Research Activity:

A new approach was developed to the construction and investigation of Padé approximants based on generalized moment representations. In particular, the following results were obtained:

  • convergence and asymptotics of diagonal Padé approximants for functions of Mittag-Leffler type;
  • convergence of simultaneous Padé approximants for systems of confluent hypergeometric functions and systems of functions of Mittag-Leffler type;
  • exact formulae for Padé approximants for some basic hypergeometric functions;
  • application of generalized moment representations to the problem of Padé-Chebyshev approximation;
  • application of generalized moment representations to multipoint Padé approximation;
  • generalization of invariance properties of Padé approximants;
  • application of multidimensional generalized moment representations to rational approximations of functions of several variables.

Work address: Tereschenkivska Str.,3, KIEV, 01601, UKRAINE
Home address: W.Vysotsky Boul.,7/42, KIEV, 02222, UKRAINE
E-mail:
golub@imath.kiev.ua
apholub@gmail.com

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Last updated August 28, 2018