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. BarkhudaryanAssistant | Chair of Financial Mathematics Education1998 - 2002: YSU, Faculty of Mathematics, bachelor 2002 - 2004: YSU, Faculty of Mathematics, magister 2004 – 2007: Institute of Mathematics of NAS Armenia, Postgraduate Student Academic degreePhD – “Convergence acceleration of expansions by eigenfunctions of some boundary value problems“, 2007, YSU Professional experience2000 – 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 Visits2014 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 InterestsNumerical analysis, Free boundary problems, Obstacle type problems, Convergence acceleration, Padé approximation Academic coursesCalculus, 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 projects2005 – 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” LanguagesArmenian, Russian, English Professional membership2019 - 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 |

R. Barkhudaryan
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2020
| Article
Armenian Journal of Mathematics, 2020, N 12 (10), p. 1-27

R. Barkhudaryan
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2019
| Article
Bulletin of the Iranian Mathematical Society, 45, (1), 2019, pp. 59-73

, **Convergence Acceleration of Trigonometric Expansions**

2018
| _____________
Conference Paper: Harmonic Analysis and Approximations - VII, 2018, pp. 27-28

2018
| _____________
Conference Paper: Conference dedicated to the 100th anniversary of Mkhitar Djrbashyan, pp. 18-19, (2018)

, **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

2016
| _____________
Conference Paper: Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VI, 2016, pp. 14-15

, **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

Barkhudaryan R.
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2016
| Article
Applicable Analysis, 95, (12), 2016, pp. 2794-2806

, **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

R. Barkhudaryan
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2015
| Article
Armenian Journal of Mathematics, 7, (2), 2015, pp. 80-84

2013
| Article
AIP Conference Proceedings, 1558, (1), 2013, pp. 2249-2252

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)

Published translation

Journal of Contemporary Mathematical Analysis 48 (4) , pp. 139-144 (2013)

2011
| _____________
Dynamic systems, nonlinear analysis and their applications, 2011, pp. 9-11

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)

Published translation

Journal of Contemporary Mathematical Analysis 46 (3) , pp. 131-141 (2011)

, **Finite difference scheme for two-phase obstacle problem**

2011
| Article
Dokl. Nats. Akad. Nauk Armen. 111 (2011), no. 3, 224-231

2010
| _____________
Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics, 2010, pp. 41-43

2008
| Article
International Conference, Harmonic Analysis and Approximations, IV(2008), p. 23-25

2007
| Thesis
Auto-reference of Candidate dissertation. Yerevan, 2007, pp. 1-16

2007
| Thesis
Candidate dissertation (manuscript), Yerevan, 2007, pp. 1-77

2007
| Article
Reports of NAS RA (in Russian), 107(2007), № 1, p. 13-19

2007
| Article
Analysis in Theory and Applications, 23(2007), № 3, p. 228-242

2007
| Article
AIP Conference Proceedings, 936(2007), p. 86-89 aip.scitation.org

2006
| _____________
Proceedings of the workshop "Mathematical Physics and Adjacent Problems", 24-30 September 2006, pp. 24

2006
| Article
Proceedings of the workshop “Mathematical Physics and Adjacent Problems”, Yerevan , September 2006, p.24-30

2006
| Article
Journal of Contemporary Math. Anal., 41(2006), № 2, p. 42-55

2006
| Article
Mathematics in higher school, 2(2006), № 3, p. 54-62

2006
| Article
Reports of NAS RA (in Russian), 106(2006), № 1, p. 5-12

2005
| Article
Proceedings of the CSIT-2005 conference “Computer Science and Information Technologies”, Yerevan, September 19-23, 2005, p. 457-460

Contacts

Contacts:

**Dean** - Associate Member of NAS RA

**Arthur Sahakyan**

**Dean's Office**: (+374 60) 71-03-66

(inner line 23-66),

**math@ysu.am**

(inner line 23-66),