Մաթեմատիկայի և մեխանիկայի ֆակուլտետ
Faculty of Mathematics and Mechanics
Training of specialists-mathematicians started in the YSU in 1924, in the physical - mathematical subsection of Social Science Department which became Physical-mathematical Department in 1993.:
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Rafayel H. Barkhudaryan

Assistant | Chair of Financial Mathematics
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

Latest Publications (29)
R. Barkhudaryan , L. Poghosyan, A. Poghosyan
On some quasi-periodic approximations
2020 | Article
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
2019 | Article
Bulletin of the Iranian Mathematical Society, 45, (1), 2019, pp. 59-73
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A. Poghosyan, R. Barkhudaryan
Convergence Acceleration of Trigonometric Expansions
2018 | _____________
Conference Paper: Harmonic Analysis and Approximations - VII, 2018, pp. 27-28
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On a non-local parabolic free boundary problem arising in a theory of financial bubbles
2018 | _____________
Conference Paper: Conference dedicated to the 100th anniversary of Mkhitar Djrbashyan, pp. 18-19, (2018)
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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
2017 | Article
Vestnik kazanskogo gosudarstvennogo energeticheskogo universiteта, 35, (3), 2017, pp. 28-38
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Non-local obstacle type problem arising in the theory of financial mathematics
2016 | _____________
Conference Paper: Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VI, 2016, pp. 14-15
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A. Arakelyan, R. Barkhudaryan
A Numerical Approach for a General Class of the Spatial Segregation of Reaction-Diffusion Systems Arising in Population Dynamics
2016 | Article
Computers and Mathematics with Applications, 72, (11), 2016, pp. 2823-2838
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Barkhudaryan R. , Juráš M., Salehi, M.
Iterative scheme for an elliptic non-local free boundary problem
2016 | Article
Applicable Analysis, 95, (12), 2016, pp. 2794-2806
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Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method
2015 | Article
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
2015 | Article
Armenian Journal of Mathematics, 7, (2), 2015, pp. 80-84
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Finite difference method for two-phase obstacle problem,
2013 | Article
AIP Conference Proceedings, 1558, (1), 2013, pp. 2249-2252
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On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system
2013 | Article
Izvestiya NAN Armenii. Matematika, 48, (4), 2013, pp. 3-12
Published translation
Journal of Contemporary Mathematical Analysis 48 (4) , pp. 139-144 (2013)
Finite Di fference Scheme for Two-Phase Obstacle Problem
2011 | _____________
Dynamic systems, nonlinear analysis and their applications, 2011, pp. 9-11
Finite Diff erence Scheme for the Two-Phase Obstacle Problem
2011 | _____________
Harmonic Analysis and Approximations, V, 2011, pp. 22
An error estimate for the finite difference scheme for one-phase obstacle problem
2011 | Article
Proceedings of NAS RA - Mathematics, 46, (3), 2011, pp. 3-16
Published translation
Journal of Contemporary Mathematical Analysis 46 (3) , pp. 131-141 (2011)
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Finite difference scheme for two-phase obstacle problem
2011 | Article
Dokl. Nats. Akad. Nauk Armen. 111 (2011), no. 3, 224-231
Iterative Scheme for Elliptic Optimal Multiple Switching Problem
2010 | _____________
Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics, 2010, pp. 41-43
Gibbs phenomenon for the one-dimensional Dirac system
2008 | Article
International Conference, Harmonic Analysis and Approximations, IV(2008), p. 23-25
Convergence acceleration of expansions by eigenfunctions of some boundary value problems
2007 | Thesis
Auto-reference of Candidate dissertation. Yerevan, 2007, pp. 1-16
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Convergence acceleration of expansions by eigenfunctions of some boundary value problems
2007 | Thesis
Candidate dissertation (manuscript), Yerevan, 2007, pp. 1-77
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R. H. Barkhudaryan , A. V. Poghosyan
On the convergence of some quasipolynomial approximation
2007 | Article
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
2007 | Article
Analysis in Theory and Applications, 23(2007), № 3, p. 228-242
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Convergence acceleration of eigenfunction expansions of the one-dimensional Dirac system
2007 | Article
AIP Conference Proceedings, 936(2007), p. 86-89 aip.scitation.org
Generalization of polynomial method for expansion by Dirac's system eigenfunctions
2006 | _____________
Proceedings of the workshop "Mathematical Physics and Adjacent Problems", 24-30 September 2006, pp. 24
Generalization of polynomial method for expansion by Dirac’s system eigenfunctions
2006 | Article
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
2006 | Article
Journal of Contemporary Math. Anal., 41(2006), № 2, p. 42-55
Accelerating convergence of expansions by eigenfunctions of Dirac system
2006 | Article
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
2006 | Article
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
2005 | Article
Proceedings of the CSIT-2005 conference “Computer Science and Information Technologies”, Yerevan, September 19-23, 2005, p. 457-460