Mohamed El-Gebeily

Mohamed El-Gebeily has been a Professor of mathematics at King Fahd University of Petroleum and Minarls since 2003. He received his B.S. degree in electrical engineering from Alexandria University, Egypt, in 1975 and his Ph.D. degree in mathematics from Oklahoma State University, USA, in 1984. He was rewarded the degree of honor, first rank, from Alexandrea University in 1975 and the Machlachlan Award as a distinguished graduate student from the Department of Mathematics, Oklahoma State university, in 1982. Currently, he is a Member of a research group interested in wavelets and variational inequalities at the Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals. The main research interests of the group are singal processing with wavelets, variational inequalities, and optimization.

Biography Updated on 27 September 2008

Personal Home Page

http://faculty.kfupm.edu.sa/MATH/mgebeily/

Articles in Scholarly Journals [Incomplete List]

  1. On the approximation of nonlinear singular self-adjoint second order boundary value problems
    Journal of Computational and Applied Mathematics, 2008
  2. A study of Saudi climatic parameters using climatic predictability indices
    Chaos, Solitons & Fractals, 2008
  3. Linear system of equations, matrix inversion, and linear programming using MS Excel
    International Journal of Mathematical Education in Science and Technology, vol. 39, no. 1, pp. 83–94, 2008
  4. Existence, upper and lower solutions and quasilinearization for singular differential equations
    IMA Journal of Applied Mathematics, vol. 73, no. 2, pp. 323–344, 2007
  5. Existence and quasilinearization in Hilbert spaces revisited
    Applicable Analysis, vol. 86, no. 4, pp. 411–419, 2007
  6. Existence and boundary behavior for singular nonlinear differential equations with arbitrary boundary conditions
    Journal of Mathematical Analysis and Applications, vol. 334, no. 1, pp. 140–156, 2007
  7. A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
    Nonlinear Analysis: Real World Applications, vol. 8, no. 1, pp. 174–186, 2007
  8. Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions
    Nonlinear Analysis: Real World Applications, vol. 8, no. 2, pp. 636–645, 2007
  9. Convergence and the optimal choice of the relaxation parameter for a class of iterative methods
    Applied Mathematics and Computation, vol. 174, no. 1, pp. 353–364, 2006
  10. H2 solutions for the stream function and vorticity formulation of the Navier–Stokes equations
    Applied Mathematics and Computation, vol. 177, no. 2, pp. 686–696, 2006
  11. A generalized quasilinearization method for second-order nonlinear differential equations with nonlinear boundary conditions
    Journal of Computational and Applied Mathematics, vol. 192, no. 2, pp. 270–281, 2006
  12. Existence and quasilinearization methods in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 324, no. 1, pp. 344–357, 2006
  13. Weak formulation of singular differential expressions in spaces of functions with minimal derivatives
    Abstract and Applied Analysis, vol. 2005, no. 7, pp. 691–705, 2005
  14. Real Self-Adjoint Sturm-Liouville Problems
    Applicable Analysis, vol. 83, no. 4, pp. 377–387, 2004
  15. Classroom note: The inscribed sphere of an n -simplex
    International Journal of Mathematical Education in Science and Technology, vol. 35, no. 2, pp. 261–268, 2004
  16. On certain properties of the regular n-simplex
    International Journal of Mathematical Education in Science and Technology, vol. 35, no. 4, pp. 617–629, 2004
  17. Regular approximation of singular self-adjoint differential operators
    IMA Journal of Applied Mathematics, vol. 68, no. 5, pp. 471–489, 2003
  18. An iterative shooting method for a certain class of singular two-point boundary value problems
    Computers & Mathematics with Applications, vol. 45, no. 1-3, pp. 69–76, 2003
  19. Regular approximation of singular second-order differential expressions
    Journal of Mathematical Analysis and Applications, vol. 283, no. 1, pp. 100–113, 2003
  20. Convergence of the domain decomposition finite element–boundary element coupling methods
    Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 43, pp. 4851–4867, 2002
  21. A Galerkin method of O(h2) for singular boundary value problems
    International Journal of Mathematics and Mathematical Sciences, vol. 29, no. 6, pp. 361–369, 2002
  22. A higher-order method for nonlinear singular two-point boundary value problems
    International Journal of Mathematics and Mathematical Sciences, vol. 30, no. 5, pp. 257–269, 2002
  23. Necessary and sufficient conditions for the stability of linear parameter-dependent systems
    International Journal of Systems Science, vol. 32, no. 7, pp. 931–936, 2001
  24. Necessary and sufficient conditions for the stability of linear parameter-dependent systems
    International Journal of Systems Science, vol. 32, no. 7, pp. 931–936, 2001
  25. Iterative coupling of BE and FE methods in elastostatics
    Engineering Analysis with Boundary Elements, vol. 25, no. 8, pp. 685–695, 2001
  26. Computation of the eigenelements of singular sturm-liouville problems
    International Journal of Computer Mathematics, vol. 78, no. 4, pp. 539–550, 2001
  27. On the completeness of the set of eigenvectors of a certain class of self-adjoint finite difference operators
    IMA Journal of Applied Mathematics, vol. 65, no. 1, pp. 29–43, 2000
  28. The generalized eigenvalue problem for tridiagonal symmetric interval matrices
    International Journal of Control, vol. 72, no. 6, pp. 531–535, 1999
  29. Necessary and sufficient conditions for the regularity of an interval matrix
    International Journal of Computer Mathematics, vol. 73, no. 2, pp. 217–223, 1999
  30. On a finite difference method for singular two-point boundary value problems
    IMA Journal of Numerical Analysis, vol. 18, no. 2, pp. 179–190, 1998
  31. Approximate solution of the Fokker-Planck-Kolmogorov equation by finite elements
    Communications in Numerical Methods in Engineering, vol. 10, no. 10, pp. 763–771, 1994
  32. Existence and uniqueness of solutions of a class of two-point singular nonlinear boundary value problems
    Journal of Computational and Applied Mathematics, vol. 46, no. 3, pp. 345–355, 1993
  33. Asymptotic analysis of almost periodic weakly non-linear systems
    International Journal of Control, vol. 54, no. 3, pp. 561–575, 1991
  34. New linearization technique for a class of non-linear systems
    International Journal of Control, vol. 49, no. 5, pp. 1569–1579, 1989
  35. Isometries of the Disc Algebra
    Proceedings of the American Mathematical Society, vol. 93, no. 4, p. 697, 1985