Rafayel H. Barkhudaryan

Biography

Education
1998 - 2002: YSU, Faculty of Mathematics, bachelor
2002 - 2004: YSU, Faculty of Mathematics, magister
2004 – 2007: Institute of Mathematics of NAS Armenia, Postgraduate Student

Academic degree
PhD – “Convergence acceleration of expansions by eigenfunctions of some boundary value problems“, 2007, YSU

Professional experience
2000 – 2005: Programmer Boomerang Software LLC (programmer)
2004 – 2007: Junior researcher, Institute of Mathematic
2007 – 2011: Scientific Secretary, Institute of Mathematics
2011 – 2014: Deputy Director, Institute of Mathematics
2014 – 2019: Director, Institute of Mathematics
2005: Yerevan State University, Faculty of Mathematics, chair of “Theory of optimal control and approximate methods” and “Financial mathematics”
2015 – 2019, American University of Armenia, Adjunct Lecturer

Visits
2014 Feb-April Visiting Fellow of the Isaac Newton Institute (University of Cambridge) for Mathematical Sciences, program "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),

Fields of Interests
Numerical analysis, Free boundary problems, Obstacle type problems, Convergence acceleration, Padé approximation

Academic courses
Calculus, Optimization, Business Math., Numerical Analysis, Mathematicl Modeling Applications, Mathematical Packages (MatLab, Mathematica), Variation analysis, Numerical methods for solving PDE's, Fourier series and it's applications

Participation in grant projects
2005 – 2006: Participation in the Project ISTC A-823
2006 – 2007: NFSAT GRSP - 18/06
2011 – 2013: SCS 11-1a307
2013 – 2014: NFSAT YSSP-13-24 “Numerical Solution to Some Free Boundary Problem”
2014 – 2015: SCS 13YR-1A0038 “Investigation of some free boundary problem arising in physical growth models”

Languages
Armenian, Russian, English

Professional membership
2019 - Now: American Mathematical Society(Reviewer)
2018 - Now: European Mathematical Society,
2015 - Now: Scientic council of the Faculty of Mathematics, Yerevan State University,
2011 - Now: Armenian Mathematical Union,
2008 - Now: Deputy Editor in Chief of the Armenian Journal of Mathematics,
2007 - Now: Scientic council of the Institute of Mathematics.

barkhudaryan@ysu.am

Rafayel H. Barkhudaryan

Assistant | Faculty of Mathematics and Mechanics - Chair of Function Theory and Differential Equations

Article

R. Barkhudaryan, L. Poghosyan, A. Poghosyan

On some quasi-periodic approximations | Armenian Journal of Mathematics, 2020, N 12 (10), p. 1-27

A. Arakelyan, R. Barkhudaryan, H. Shahgholian, M. Salehi

Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles | Bulletin of the Iranian Mathematical Society, 45, (1), 2019, pp. 59-73 |

A. Arakelyan, R. Barkhudaryan, L. Poghosyan

Finite difference scheme for a general class of the spatial segregation of reaction-diffusion systems with two population densities | Vestnik kazanskogo gosudarstvennogo energeticheskogo universiteта, 35, (3), 2017, pp. 28-38 |

A. Arakelyan, R. Barkhudaryan

A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics | Computers and Mathematics with Applications, 72, (11), 2016, pp. 2823-2838 |

Barkhudaryan R., Juráš M., Salehi, M.

Iterative scheme for an elliptic non-local free boundary problem | Applicable Analysis, 95, (12), 2016, pp. 2794-2806 |

Avetik Arakelyan, Rafayel Barkhudaryan, Michael Poghosyan

Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method | Armenian Journal of Mathematics. 2015, v. 7, no. 2, p. 164-182 armjmath.sci.am

V. Arzumanian, R. Barkhudaryan, S. Eigen, A. Nersessian

Arshag Hajian: By the 85th Anniversary | Armenian Journal of Mathematics, 7, (2), 2015, pp. 80-84 |

R. Barkhudaryan

Finite difference method for two-phase obstacle problem, | AIP Conference Proceedings, 1558, (1), 2013, pp. 2249-2252 |

R. Barkhudaryan

On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system | Izvestiya NAN Armenii. Matematika, 48, (4), 2013, pp. 3-12 Published translation Journal of Contemporary Mathematical Analysis 48 (4) , pp. 139-144 (2013)

A. Arakelyan, R. Barkhudaryan, M. Poghosyan

An error estimate for the finite difference scheme for one-phase obstacle problem | Proceedings of NAS RA - Mathematics, 46, (3), 2011, pp. 3-16 Published translation Journal of Contemporary Mathematical Analysis 46 (3) , pp. 131-141 (2011) |

Arakelyan, A. G., Barkhudaryan, R. H., Poghosyan, M. P.

Finite difference scheme for two-phase obstacle problem | Dokl. Nats. Akad. Nauk Armen. 111 (2011), no. 3, 224-231

R. H. Barkhudaryan

Gibbs phenomenon for the one-dimensional Dirac system | International Conference, Harmonic Analysis and Approximations, IV(2008), p. 23-25

R. H. Barkhudaryan, A. V. Poghosyan

On the convergence of some quasipolynomial approximation | Reports of NAS RA (in Russian), 107(2007), № 1, p. 13-19

R. H. Barkhudaryan, A. V. Poghosyan

Asymptotic behavior of Eckhoff's method for Fourier series convergence acceleration | Analysis in Theory and Applications, 23(2007), № 3, p. 228-242 |

R. H.Barkhudaryan

Convergence acceleration of eigenfunction expansions of the one-dimensional Dirac system | AIP Conference Proceedings, 936(2007), p. 86-89 aip.scitation.org

R. H.Barkhudaryan

Generalization of polynomial method for expansion by Dirac’s system eigenfunctions | Proceedings of the workshop “Mathematical Physics and Adjacent Problems”, Yerevan , September 2006, p.24-30

R. H. Barkhudaryan, A. B. Nersessian, A. V. Poghosyan

Accelerating convergence of Fourier series | Journal of Contemporary Math. Anal., 41(2006), № 2, p. 42-55

R. H. Barkhudaryan

Accelerating convergence of expansions by eigenfunctions of Dirac system | Mathematics in higher school, 2(2006), № 3, p. 54-62

Barkhudaryan R. H., A. B. Nersessian

Convergence acceleration of decomposition by eigenfunctions of a model boundary value problem with a discontinuous coefficient | Reports of NAS RA (in Russian), 106(2006), № 1, p. 5-12

R. H. Barkhudaryan, A.B. Nersessian, A.V. Poghosyan

On a Parallel Algorithm for Integral Equations | Proceedings of the CSIT-2005 conference “Computer Science and Information Technologies”, Yerevan, September 19-23, 2005, p. 457-460