J1. Mohamed El-Gebeily and Donal O'Regan, “A Characterization of Self Adjoint Operators Determined by the Weak Formulation of Second Order Singular Differential Expressions”, accepted, Glasgow Math. J.
J2. Mohamed El-Gebeily and Donal O'Regan, S. Messaoudi, “Existence and quasilinearization for a class of nonlinear elliptic partial differential equaiotns”, accepted, Boundary value problems.
J3. Shafiqur Rehman, Mohamed El-Gebeily, “A study of Saudi climatic parameters using climatic predictability indices” Chaos, Solitons & Fractals , In Press, Corrected Proof, Available online 16 June 2008.
J4. M. A. El-Gebeily, K. M. Furati, D. O’Regan, R. Agarwal, "On the approximation of nonlinear singular self-adjoint second order boundary value problems", to appear, Comp. Appl. Math.
J5. M. A. El-Gebeily, K. M. Furati, D. O’Regan, "The Finite Element-Galerkin Method for Singular Self Adjoint Differential Equations", to appear, Comp. Appl. Math.
J7. P. Balasz, M. A. El-Gebeily "A Systematic Study of Frame Sequence Operators and their Pseudoinverses", International Mathematical Forum 3 (2008) no. 5, 229 - 239.
J8. A Cherid, M.A. El-Gebeily, Donal O'Regan, Ravi Agarwal,” Deblurring and Denoising of Images With Minimization of Variation and Negative Norms”, ANZIAM J. 49(2007), 171-185.
J9. M. A. El-Gebeily, R. Agarwal, D. O’Regan, “Generalized Contractions In Partially Ordered Spaces”, Accepted, Applicable Analysis.
J10. Mohamed El-Gebeily, Donal O'Regan, “Existence and boundary behavior for singular nonlinear differential equations with arbitrary boundary conditions”, JMAA, 334 (2007), 140-156.
J11. EL-Gebeily M. and Yushau B.. “Curve Graphing in MS Excel and Applications”. Spreadsheets in Education, Vol. 2 no. 2, (2007) pp. 232 – 252.
J12. M. A. El-Gebeily, M. B. M. Elgindi, "Sequences, Frame Sequences and Their Associated Operators,” accepted , Int. J. Sc. Comp.
J13. M. A. El-Gebeily, R. S. Alassar, M. B. Elgindi, “"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
J14. M. A. El-Gebeily, D. O’Regan, “Existence and Quasilinearization in Hilbert Spaces Revisited”, Appl. Anal., 86, No 4, (2007), 411-419.
J15. M. A. El-Gebeily, B. Yushua, “Numerical Methods with MS Excel”, The Montana Mathematics Enthusiast, 4 no.1 (2007) 84-92.
J16. M. A. El-Gebeily, D. O’Regan, “Existence and Quasilinearization Methods in Hilbert Spaces”, J. Math. Anal. Appl., 324 (2006) 344–357.
J17. M. A. El-Gebeily, D. O’Regan, “A quasilinearization method for a class of second order singular nonlinear differential equations with nonlinear boundary conditions”, Nonlinear Analysis: RealWorld Applications 8 (2007) 174– 186.
J18. M. A. El-Gebeily, D. O’Regan, ”Upper and lower solutions and quasilinearization for a class of second order singular nonlinear differential equations with nonlinear boundary conditions” Nonlinear Analysis: RealWorld Applications 8 (2007) 636– 645.
J19. M. A. El-Gebeily, “Weak formulation of singular differential expressions in spaces of functions with minimal derivatives”, Abstract and Applied Analysis, 2005, 7, (2005), 691-705.
J20. M. A. El-Gebeily, D. O’Regan, “A generalized quasilinearization method for second-order nonlinear differential equations with nonlinear boundary conditions”, Computational and Applied Mathematics, 192, 2, (2006), 270-281
J21. M. A. El-Gebeily, B. Yushua, “Some applications of MS Excel in teaching Mathematics", Learning & Teaching Mathematics (2005), No. 2, pp31 -34.
J22. M. A. El-Gebeily, B. Yushua, “Some algebraic Manipulations with Polynomials Using MS Excel”, IJMEST, Accepted.
J23. M. A. El-Gebeily, M. B. Elgindi, “Convergence and the optimal choice of the relaxation parameter for a class of iterative methods”, J. Appl. Math. Comp., 174#1, (2006), 353-364.
J24. M. A. El-Gebeily, B. Yushua, “Linear Systems of Equations, Matrix Inversion, and Linear Programming Using MS Excel”, IJMEST, Accepted.
J25. M. A. El-Gebeily, Y. A. Fiagbedzi, “On Certain Properties of the Regular n-Simplex”, IJMEST, 35, 4, 2004, 617-629.
J26. Y. A. Fiagbedzi, M. A. El-Gebeily, ”The inscribed sphere of an n-simplex”, IJMEST, 35#2, 2004, 261-267.
J27. M. A. El-Gebeily, K. M. Furati, “Real Self-Adjoint Sturm-Liouville Problems”, Applicable Analysis, 83, No. 4, April 2004, pp. 377–387.
J28. K. M. Furati, M. A. El-Gebeily, "Regular Approximation of Singular Second Order Differential Expressions", JMAA. 283 (2003)100-113
J29. M. A. El-Gebeily, "Regular Approximation of Singular Self-Adjoint Differential Operators," IMA, J. Appl. Math. (2003) 68, 471-489.
J30. M. A. El-Gebeily, W. M. Elleithy,H. J. Al-Gahtani, “Convergence of the Domain Decomposition Finite Element-Boundary Element Coupling Methods”, Comput. Meth. Appl. Mech. Engrg. 191,2002, 4851-4867.
J31. Elgebeily, M. A. and Attili, B. S., “ An Iterative Shooting Method for a Certain Class of Singular Two-Point Boundary Value Problems” Comput. Math. Appl., 45, 2003, 69-76.
J32. M. A. El-Gebeily, "A Variational Formulation for Regular and Singular Self-Adjoint Differential Operators", Annals of Differential Equations, 18, No 1, 2002, 40-50.
J33. G. K. Beg, M. A. El-Gebeily,” A Galerkin Method Of O(h^2) for Singular Boundary Value Problems,” IJMMS, 29 No 6, 2002, 361-369
J34. K. M. Furati, M. A. El-Gebeily,"A Higher Order Method for Nonlinear Singular Two-Point Boundary Value Problems, IJMMS, 30, No 5, 2002, 257-269.
J35. W. M. Elleithy,H. J. Al-Gahtani, M. A. El-Gebeily, “ Iterative Coupling of BE and FE Methods in Elastostatics,” Engg Anal. Boundary Elements, vol 25, 2001,685-695.
J36. G. K. Beg, M. A. El-Gebeily, “ A Galerkin Method for a Nonlinear Singular Two Point Boundary Value Problems,” AJSE. 26, No 2A, 2001, 155-165.
J37. K. A. F. Moustafa, M. A. El-Gebeily, "Necessary and Sufficient Conditions for the Stability of Linear Parameter-Dependent Syatems," Int. J. System Sceince, 32, No 7, 2001, 931-936.
J38. M. A. El-Gebeily, “ Computation of the eigenelements of singular two-point boundary value problems,” J. Comp. Math., 78, 2001, 539-550.
J39. Y. A. Fiagbedzi, M. A. El-Gebeily, “Existence and Uniqueness of the Solution of a Class of Nonlinear Functional Differential Equations,” Annals of Differential Equations, 16, No 4, 2000, 381-390
J40. M. A. El-Gebeily, K. M. Furati, “ On the Completeness of the Set of Eigenvectors of a Certain Class of Self-Adjoint Finite Difference Operators,” IMA J. Applied Mathematics, 65 No 1, 2000, 29-44.
J41. M. A. El-Gebeily, Y. Abu Baker, M. B. M. Elgindi, “The Generalized Eigenvalue Problem for Tridiagonal Symmetric Interval Matrices”, Int. J. Control, 72, No 6, (1999), 531-535.
J42. M. Yousuf, M. A. Elgindi, M. A. El-Gebeily, “Necessary and Sufficient Conditions for the Regularity of an Interval Matrix”, Int. J. Computer Mathematics, 73, 1999, 217-223.
J43. M.B. Elgindi, M. A. El-Gebeily K. A. F. Moustafa, “Improved Margin of Stability of Interval Matrices,” JSME, Series C, 41, No 1, 1998, 90-93.
J44. M. A. El-Gebeily, I. T. Abu-Zaid, “ On a finite difference method for singular two-point boundary value problems,” IMA J. Numer. Anal., 18, 1998, 179-190.
J45. B. S. Attili, M. B. Elgindi, M. A. El-Gebeily, "Initial Value Methods for the Eigenelements of Singular Two-Point Boundary Value Problems", AJSE, 22, No 2C, 1997, 67-77.
J46. G. K. Beg, M. A. El-Gebeily, “ A Galirkin Method for Singular Two-Point Linear Boundary Value Problems,” AJSE Theme Issue on Numerical Methods for Differential Equations, 22, No 2C, 1997, 79-97.
J47. I. T. Abu-Zaid, M. A. El-Gebeily, “A Finite Difference Method for Approximating the Solution of a Certain Class of Singular Two-Point Boundary Value Problems,” Arab J. Math. Sc., 1, No 1, 1995, 25-39.
J48. I. T. Abu-Zaid, M. A. El-Gebeily, “ A Finite Difference Method for the Spectral Approximation of a Class of Singular Two-Point Boundary Value Problems,” IMA J. Numer. Anal., 14, 1994, 545-562.
J49. M. A. El-Gebeily, H. E. Emara Shabaik,” Approximate Solution of the Fokker-Planck-Kolmogorov Equation by Finite Elements,” Communications in Numerical Analysis in Engineering, 10, 1994, 763-771.
J50. M. A. El-Gebeily, A. Boumunir, M. B. M. Elgindi, “ Existence and Uniqueness of Solutions of a Class of Two-Point Singular Nonlinear Boundary Value Problems,” J. Comp. Appl. Math, 46, 1993, 345-355.
J51. K. A. F. Mostafa, M. A. El-Gebeily, “ Free Vibration Characteristics of Structures with Nonlinear Underlying Soil,” Trans. ASME, 113 , 1991, 95-99.
J52. K. A. F. Mostafa, M. A. El-Gebeily, “ Asymptotic Analysis of Almost Periodic Weakly Nonlinear Systems,” Int. J. Control, 54, No 3, 1991, 561-575.
J53. M. A. El-Gebeily, K. A. F. Mostafa, “ New Linearization Technique for a Class of Nonlinear Systems,” Int. J. Control, 49, No 5, 1989, 1569-1579.
J54. T. W. Abou-Arab, M. El-Gebeily, W. Asrar, A. F. Al-Qassem, “ Theoretical Study of Turbulent Two-Phase Convective Heat Transfer,” J. Fac. Engg, Cairo University, 36, 1989, 163-183.
J55. M. El-Gebeily, T. W. Abou-Arab, “ A Progress Study of Two Phase Gas-Solid Flows-Solution of Simplified Flow Governing Equations,” Heat and Technology, 6, No 3-4, 1988, 92-109.
J56. M. A. El-Gebeily, J. E. Wolfe, “ Isometries of the Disk Algebra,” Proceedings of the AMS, 93, 1985, 697-702.
C1.
S. Rehman, Mohamed El-Gebeily, “A Study Of Saudi
Climatic Parametrs Using Climatic Predictability Index” ,2nd
WSEAS INTERNATIONAL SYMPOSIUM Wavelets Theory and Applications in Applied
Mathematics,
Signal Processing & Modern Science (accepted)
C2. M. A. El-Gebeily, “A systematic Study of Frame Sequences”, Proc. International Workshop on Applications of Wavelets to Real World Problems, July 17-18, 2005, Istanbul Commerce University, Turkey, p. 165 (-179).
C3. M. A. El-Gebeily, “Approximating the variational form associated with singular self-adjoint differential operators by nearby regular ones”, AIMS' Fifth International Conference on Dynamical Systems and Differential Equations California State Polytechnic University, Pomona, June 16 - 19, 2004
C4. M. A. El-Gebeily, M. B. Elgindi, “Convergence and the optimal choice of the relaxation parameter for a class of iterative methods”, Certain Mathematical Topics in Real World Problems, ICIAM 2003, Sydney, Australia, K. M. Furati, Z. Nashed, A. Siddiqi, editors, to apprear.
C5. M. A. El-Gebeily, B. Yushua, “Using Excel to do Mathematics”, SMS, to appear.
C6. K. A. F. Moustafa, M. A. El-Gebeily, “Effect of Manufacturing Tolerances on Rotor-Bearing Systems Stability via Interval Analysis”, 7th International Conference on Production Engineering, Design and Control, 3-15 February, 2001, (PEDAC’2001), Alexandria University.
C7. M. A. El-Gebeily, K. M. Furati, “A Shooting Method for Nonlinear Singular Boundary Value and Sturm-Liouville Problems,” Proceedings of the 16th IMACS World Congress, IMACS 2000, Lausanne-Switzerland, August 21-25, 2000, paper no 213-4.
C8. Elgebeily, M. A. and Attili, B. S., "An Iterative Method for Solving Singular Two-Point Boundary Value Problems" Proceedings of the International Conference on Biomathematics - Bioinformatics and Applications of Functional Differential Equations, 1999, Turkey.
C9. W. M. Elleithy,H. J. Al-Gahtani, M. A. El-Gebeily, “Convergence of The Iterative Coupling of BEM and FEM,” Boundary Elements XXI, C. A. Prebbia, C. A. Power, Editors, Wit Press, South Hampton, Boston, 1999, 281-290.
C10. M.B. Elgindi, M. A. El-Gebeily K. A. F. Moustafa, “Improved Estimate of the Margin of Stability of Interval Matrices,” IEEE 4th International Conference on Electronics, Circuits and Systems, December 15-18, 1997, Cairo, Egypt, 102-105[1].
C11. K. A. F. Mostafa, M. A. El-Gebeily, “ Effects of Nonlinear Soil Behavior on Vibration Characteristics of Offshore Structures Subjected to Earthquakes,” Proceedings of the sixth International ASME conference on offshore mechanics and arctic engineering (OMAE), Houston, March 1987
C12. K. A. F. Mostafa, M. A. El-Gebeily, “ Effect of Nonlinearity on Natural Frequencies of Structures,” Proceedings of conference on modern practice in stress and vibration analysis, University of Liverpool, April 1988