Յուրի Հակոբյանի հրապարակումներ (Full profile)

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  1. Yu. R. Hakopian, A. N. Eloyan and D. E. Khachatryan, About magic rectangles, Internat. J. Math. Ed. Sci. Tech. , 37, (4), pp. 475-483, (2006)
  2. Yu. R. Hakopian, Foundations of Numerical Methods, part 1 (textbook for university students). - Yerevan, Russian-Armenian (Slavonic) University Publ. , (in Russian), (2005)
  3. Yu. R. Hakopian, A. N. Eloyan and D. E. Khachatryan, The class of magic rectangles, Vestnik RAU, seria: Fiziko-Matematicheskie i Estestvennye Nauki, Yerevan, Russian-Armenian (Slavonic) State University, 1, pp. 15-22, (2005)
  4. Yu. R. Hakopian and A. N. Eloyan, The Moore-Penrose inverse for a certain class of block matrices, Reports of the National Academy of Sciences of Armenia, 105, (4), pp. 317-322, (2005)
  5. Yu. R. Hakopian and H. A. Hovhannisyan, Algebraic multigrid preconditioner for second order finite element approximations in rectangular domains. I. Two-level preconditioner, Uchenye Zapiski YGU, estestvennye nauki (Transactions of Yerevan State University, natural sciences), 1, 3-13 (in Russian), (200), (2003)
  6. Yu. R. Hakopian and H. A. Hovhannisyan, Algebraic multigrid preconditioner for second order finite element approximations in rectangular domains, II. Multigrid preconditioner. - Uchenye Zapiski YGU, estestvennye nauki (Transactions of Yerevan State University, natural sciences), 2, 18-24 (in Russian), (201), (2003)
  7. Yu. R Hakopian and H. A. Hovhannisyan, Algebraic multilevel preconditioning for second order finite element approximations in rectangular domains, In: “Computer Science and Information Technologies”, Proceedings of CSIT’03 Conference, Yerevan, Armenia, pp. 327-330, (2003)
  8. Yu. R. Hakopian, Numerical Methods, part 1 (textbook for university students). - Yerevan, ”Armenika” Publ. , (in Armenian), (2003)
  9. Yu. R. Hakopian, Algebraic Multilevel/Substructuring Preconditioner in Finite Element Method with Piecewise Quadratic Approximation, In: “Mathematical Problems of Computer Science”, Trans. of the Institute for Informatics and Automation Problems of the National Acad. Sci. of Armenia, Yerevan, 21, pp. 164-180, (2000)
  10. Yu. Hakopian, Algebraic Multilevel Preconditioning In Finite Element Method With Piecewise Cubic Approximation, In: “Computer Science and Information Technologies”, Proceedings of CSIT’99 Conference, Yerevan, Armenia, pp. 107-109, (1999)
  11. Yu. Hakopian, Algebraic Multilevel Preconditioning for Second Order Finite Element Approximation, In: “Computer Science and Information Technologies”, Proceedings of CSIT’97 Conference, Yerevan, Armenia, pp. 261-263, (1997)
  12. Yu. R. Hakopian, Algebraic multilevel/substructuring preconditioners for perturbed finite element matrices, Report, Department of Mathematics, University of Nijmegen, The Netherlands, (9631), (1996)
  13. Yu. R. Hakopian, Algebraic multilevel/substructuring preconditioner for third order finite element approximation, Report, Department of Mathematics, University of Nijmegen, The Netherlands, (9538), (1995)
  14. Yu. R. Hakopian and Yu. A. Kuznetsov, Algebraic multigrid/fictitious domain preconditioners on quasihierarchical triangular grids, Russian J. Numer. Anal. Math. Modelling, 9, (3), pp. 201-222, (1994)
  15. Yu. R. Hakopian and Yu. A. Kuznetsov, Algebraic multigrid method for triangular grids, In: “Architecture of Computers and Numerical Methods”, (V. V. Voevodin, ed. ), Dept. Numer. Math. USSR Acad. Sci. , Moscow, 3-32 (in Russian), (1991)
  16. Yu. R. Hakopian and Yu. A. Kuznetsov, Algebraic multigrid/substructuring preconditioners on triangular grids, Sov. J. Numer. Anal. Math. Modelling, 6, (6), pp. 453-483, (1991)
  17. Yu. R. Hakopian and Yu. A. Kuznetsov, Algebraic multigrid method for solving finite element equations on hierarchical triangular grids, Report, Dept. Numer. Math. USSR Acad. Sci. , Moscow (in Russian), (250), (1990)
  18. Yu. R. Hakopian, Variational difference methods for solving parabolic equations, Numerical Analysis and Mathematical Modelling, Banach Center Publications, PWN-Polish Scientific Publishers, Warsaw, 465-472 (in Russian), 24, (1990)
  19. Yu. R. Hakopian, On an implicit variational difference scheme on regular grid for parabolic equations, In: “Applied Mathematics”, Yerevan State University, Armenia, 12-22 (in Russian), 4, (1986)
  20. Yu. R. Hakopian, The rate of L2- convergence of an explicit variational difference scheme for parabolic equations, In: “Variational Difference Methods of Mathematical Physics”, part 1 (N. S. Bakhvalov and Yu. A. Kuznetsov, eds. ), Dept. Numer. Math. USSR Acad. Sci. , Moscow, 12-25 (in Russian), (1984)
  21. Yu. R. Hakopian, An explicit variational difference scheme for parabolic equations with right-hand side belonging to L2, In: “Applied Mathematics”, Yerevan State University, Armenia, 5-19 (in Russian), 2, (1983)
  22. Yu. R. Hakopian, Variational difference method for solving parabolic equations on regular grid, In: “Young scientist”, Yerevan State University, Armenia, (30), 57-69 (in Russian), (2), (1979)
  23. Yu. R. Hakopian, Variational difference schemes with singularity additional picking for parabolic equations in domains with corners, Report, Computer Centre of the Siberian Branch of USSR Acad. Sci. , Novosibirsk (in Russian), (55), (1978)
  24. Yu. R. Hakopian and L. A. Oganesyan, The rate of convergence of variational difference schemes for two-dimensional linear parabolic equations, In: “Variational Difference Methods for Solving the Problems of Mathematical Physics” (G. I. Marchuk, ed. ), Computer Center of the Siberian Branch of USSR Acad. Sci. , Novosibirsk, 27-36 (in Russian), (1976)
  25. Yu. R. Hakopian, The rate of L2- convergence of variational difference schemes for two-dimensional linear parabolic equations. Iterative solution of difference equations, Reports of the Armenian SSR Acad. Sci. , 193-198 (in Russian), 62, (4), (1976)

Conference Paper

  1. Yu. R. Hakopian, A. N. Eloyan and D. E. Khachatryan, The Moore-Penrose inverse of a magic rectangle, Algebra, Geometry & their Applications (Seminar Proceedings), Yerevan State University, Armenia, 3, (4), pp. 30-34, (2004)
  2. Yu. R. Hakopian and H. A. Hovhannisyan, Algebraic multilevel preconditioners for third order finite element approximations in rectangular domains, Algebra, Geometry & their Applications (Seminar Proceedings), Yerevan State University, Armenia, 2, pp. 58-72, (2002)
  3. Yu. Hakopian, Algebraic multilevel preconditioners for third order finite element approximation, Algebra, Geometry & their Applications (Seminar Proceedings), Yerevan State University, Armenia, 1, pp. 20-39, (2001)

Thesis

  1. Yu. R. Hakopian, Algebraic multigrid preconditioners for finite element matrices, DSc Thesis, Yerevan State University and Institute for Informatics and Automation Problems of the National Acad. Sci. of Armenia, Yerevan, (in Russian), (2000)
  2. Yu. R. Hakopian, Variational difference methods for solving two-dimensional linear parabolic equations, PhD Thesis, Institute of Social and Economical Problems of USSR Acad. Sci. , St. Petersburg and Computer Centre of the Siberian Branch of USSR Acad. Sci. , Novosibirsk, (in Russian), (1978)

Paper

  1. O. Axelsson and Yu. R. Hakopian, Hybrid-type algebraic multilevel preconditioners for perturbed finite element matrices, East-West J. Numer. Math. , 6, (3), pp. 167-184, (1998)
  2. O. Axelsson, Yu. R. Hakopian and Yu. A. Kuznetsov, Multilevel preconditioning for perturbed finite element matrices, IMA J. Numer. Anal. , 17, pp. 125-149, (1997)
  3. O. Axelsson and Yu. R. Hakopian, Algebraic multilevel preconditioners for perturbed finite element matrices, East-West J. Numer. Math. , 5, (1), pp. 1-22, (1997)
  4. Yu. R. Hakopian and Yu. A. Kuznetsov, Algebraic Multigrid/Substructuring Preconditioners on Quasihierarchical Triangular Grids, East-West J. Numer. Math. , 1, (2), pp. 87-110, (1993)
  5. Yu. R. Hakopian and L. A. Oganesyan, Variational difference method for solving two-dimensional linear parabolic equations, J. Numer. Math. and Math. Physics, Moscow, 109-118 (in Russian), 17, (1), (1977)

Book

  1. V. S. Bondarenko, Yu. G. Dadayan and Yu. R. Hakopian, Numerical Methods, part 2, (textbook for university students). - Yerevan State University, Armenia, (in Armenian), (1984)
  2. V. S. Bondarenko, Yu. G. Dadayan and Yu. R. Hakopian, Numerical Methods, part 1, (textbook for university students). - Yerevan State University, Armenia, (in Armenian), (1982)