Rafayel Barkhudaryan
Fields of Interests:
- Numerical analysis
- Free boundary problems
- Obstacle type problems
- Convergence acceleration
- Padé approximation
- Scientific Computing.
Ph.D. Thesis: Convergence acceleration of expansions by eigenfunctions of some boundary value problems.
Supervisor: Anry Nersessian
Thesis: Nonlinear multiparameter Sturm-Liouville problems
Supervisor: Anry Nersessian
Thesis: The Dirac boundary problem with linear potential and Dirac’s isospectral operators
Supervisor: Tigran Harutyunyan
2015 - Now: Scientic council of the Faculty of Mathematics, Yerevan State University.
2011 - Now: Armenian Mathematical Union,
2008 - Now: Editorial board of the Armenian Journal of Mathematics,
2007 - Now: Scientic council of the Institute of Mathematics.
Business Math.,
Numerical Analysis,
Mathematical Packages (MatLab, Mathematica),
Variation analysis,
Numerical methods for solving PDE's,
Fourier series and it's applications,
Faculty of Mathematics, Yerevan State University,
American University of Armenia.
2014 Feb-April Visiting Fellow of the Isaac Newton Institute for Mathematical Sciences, programm "Free Boundary Problems and Related Topics".
2012 July Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden (KTH).
2010 July-Aug Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden (KTH).
2009 June Department of Mathematics, Royal Institute of Technology, Stockholm, Sweden (KTH),
International Conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VI" 25 - 28 of April 2016, Rostov-on-Don, Russia.
International Conference of Numerical Analysis and Applied Mathematics(ICNAAM 2013) September 21- 27, 2013, Rhodes, Greece.
International Conference "HARMONIC ANALYSIS AND APPROXIMATIONS, V" 10-17 September 2011, Tsahkadzor, ARMENIA.
International Conference "Dynamic systems, nonlinear analysis and their applications" 10-17 July 2011, Yerevan, ARMENIA.
International Conference "Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics" 4-8 October 2010, Tsahkadzor, ARMENIA.
International Conference "HARMONIC ANALYSIS AND APPROXIMATIONS, IV" 19-26 September 2008, Tsahkadzor, ARMENIA.
International Conference of Numerical Analysis and Applied Mathematics(ICNAAM 2007) September 16 - 20, 2007, Corfu, Greece.
Fifth International Conference on Computer Science and Information Technologies(CSIT 2005) 19-23 September, 2005, Yerevan, Armenia.
International Conference "HARMONIC ANALYSIS AND APPROXIMATIONS, III" 20-27 September 2005, Tsahkadzor, ARMENIA.
Scholarships and Prizes:
1996, 1998: International Competition of Towns (Diploma of winner)
1997: Third Soros Olympiad (physics 3 rd place)
July 1998: participated in the 39th IMO, Taiwan
1995, 1996, 1998: All Republic Mathematical Olympiad (correspondingly 2,1,2 places)
2005: Scholarship of the “Research Mathematics” Fund.