Rafayel Barkhudaryan's Publications (Full profile)

Conference Paper

  1. Barkhudaryan R.H., System of variational inequalities with interconnected obstacles, International conference on mathematical analysis and differencial equations, pp. 58-59, (2022)
  2. R. Barkhudaryan, On a non-local parabolic free boundary problem arising in a theory of financial bubbles, Conference dedicated to the 100th anniversary of Mkhitar Djrbashyan, pp. 18-19, (2018)
  3. A. Poghosyan and R. Barkhudaryan, Convergence Acceleration of Trigonometric Expansions, Harmonic Analysis and Approximations - VII, pp. 27-28, (2018)
  4. Avetik Arakelyan and Rafayel Barkhudaryan, A general class of finite difference schemes arising in numerical analysis of Reaction-diffusion systems, Russian-Armenian workshop on mathematical physics, complex analysis and related topics, (2018)
  5. R.H. Barkhudaryan, Non-local obstacle type problem arising in the theory of financial mathematics, Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VI, pp. 14-15, (2016)
  6. R. Barkhudaryan, A. Arakelyan and M. Poghosyan, Finite Diff erence Scheme for the Two-Phase Obstacle Problem, Harmonic Analysis and Approximations, V, pp. 22, (2011)
  7. R. Barkhudaryan, A. Arakelyan and M. Poghosyan, Finite Di fference Scheme for Two-Phase Obstacle Problem, Dynamic systems, nonlinear analysis and their applications, pp. 9-11, (2011)
  8. R.H. Barkhudaryan, T.L. Gharibyan, M.P. Poghosyan, Iterative Scheme for Elliptic Optimal Multiple Switching Problem, Third Russian-Armenian workshop on mathematical physics, complex analysis and related topics, pp. 41-43, (2010)
  9. R. Barkhudaryan, Gibbs phenomenon for the one-dimensional Dirac system, International Conference, Harmonic Analysis and Approximations, IV, pp. 23-25, (2008)
  10. R. Barkhudaryan, Generalization of polynomial method for expansion by Dirac's system eigenfunctions, Proceedings of the workshop "Mathematical Physics and Adjacent Problems", 24-30 September 2006, pp. 24, (2006)
  11. A. Nersessian, A. Poghosyan, R. Barkhudaryan, On a Parallel Algorithm for Integral Equations, Proceedings of the CSIT-2005 conference "Computer Science and Information Technologies", September 19-23, pp. 457-460, (2005)

Paper

  1. R. Barkhudaryan, D.A. Gomes, M. Salehi, H. Shahgholian, System of variational inequalities with interconnected obstacles, Applicable Analysis, 101, (2), pp. 605-628, (2022)
  2. A. Poghosyan, L. Poghosyan, R. Barkhudaryan, On the Convergence of the Quasi-Periodic Approximations on a Finite Interval, Armenian Journal of Mathematics, 13, (10), pp. 1–44, (2021)
  3. A. Poghosyan, L. Poghosyan, R. Barkhudaryan, On some quasi-periodic approximations, Armenian Journal of Mathematics, 12, (10), pp. 1-27, (2020)
  4. A. Arakelyan, R. Barkhudaryan, H. Shahgholian and M. Salehi, Numerical treatment to a non-local parabolic free boundary problem arising in financial bubbles, Bulletin of the Iranian Mathematical Society, 45, (1), pp. 59-73, (2019)
  5. A. Arakelyan, R. Barkhudaryan and 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), pp. 28-38, (2017)
  6. Barkhudaryan, R.; Juráš, M.; Salehi, M. , Iterative scheme for an elliptic non-local free boundary problem, Applicable Analysis, 95, (12), pp. 2794-2806, (2016)
  7. 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), pp. 2823-2838, (2016)
  8. Arakelyan, A., Barkhudaryan, R., Poghosyan, M., Numerical Solution of the Two-Phase Obstacle Problem by Finite Difference Method, Armenian Journal of Mathematics, 7, (2), pp. 164-182, (2015)
  9. V. Arzumanian, R. Barkhudaryan, S. Eigen and A. Nersessian, Arshag Hajian: By the 85th Anniversary, Armenian Journal of Mathematics, 7, (2), pp. 80-84, (2015)
  10. R. H. Barkhudaryan, On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system, Izvestiya NAN Armenii. Matematika, 48, (4), pp. 3-12, (2013)
    Published translation
    Journal of Contemporary Mathematical Analysis
    48
    (4)
    , pp. 139-144
    (2013)
  11. R Barkhudaryan, Finite difference method for two-phase obstacle problem, AIP Conference Proceedings, 1558, (1), pp. 2249-2252, (2013)
  12. A. Arakelyan, R. Barkhudaryan and M. Poghosyan, An error estimate for the finite difference scheme for one-phase obstacle problem, Proceedings of NAS RA - Mathematics, 46, (3), pp. 3-16, (2011)
    Published translation
    Journal of Contemporary Mathematical Analysis
    46
    (3)
    , pp. 131-141
    (2011)
  13. A. Arakelyan, R. Barkhudaryan and M. Poghosyan, Finite Difference Scheme for Two-Phase Obstacle Problem, Reports of NAS RA, 111, (3), pp. 224-231, (2011)
  14. Barkhudaryan, R., Convergence acceleration of eigenfunction expansions of the one-dimensional Dirac system, AIP Conference Proceedings, 936, pp. 86–89, (2007)
  15. R. Barkhudaryan, A. Poghosyan, On the convergence of some quasipolynomial approximation, Reports of NAS RA (in Russian), 107, (1), pp. 13-19, (2007)
  16. A. Barkhudaryan R. Barkhudaryan A. Poghosyan, Asymptotic behavior of Eckhoff's method for Fourier series convergence acceleration, Analysis in Theory and Applications, 23, (3), pp. 228-242, (2007)
  17. A. Nersessian, R. Barkhudaryan, Convergence acceleration of decomposition by eigenfunctions of a model boundary value problem with a discontinuous coefficient, Reports of NAS RA (in Russian), 106, (1), pp. 5-12, (2006)
  18. A. Nersessian, A. Poghosyan, R. Barkhudaryan, Accelerating convergence of Fourier series, Journal of Contemporary Math. Anal., 41, (2), pp. 42-55, (2006)
  19. R. Barkhudaryan, Accelerating convergence of expansions by eigenfunctions of Dirac system, Mathematics in higher school, 2, (3), pp. 54-62, (2006)

Thesis

  1. R. Barkhudaryan, Convergence acceleration of expansions by eigenfunctions of some boundary value problems, Candidate dissertation (manuscript), Yerevan, pp. 1-77, (2007)
  2. R. Barkhudaryan, Convergence acceleration of expansions by eigenfunctions of some boundary value problems, (Auto-reference of Candidate dissertation). Yerevan, pp. 1-16, (2007)