Professor Emeritus\ Hassan Nasr Ahmed Ismail
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List of Papers Presented in National & International Conferences
I. On the Theory of ODE:
[34] Hassan N.A. Ismail “Observations on the Existence of Solutions for Classes of Initial-Value problems”, 9th International Conference of Statistics & Computer Science V-1, pp 1-5, Cairo (1984).

II. On Devided Differences Via Lipinitz Rule:
[35] Hassan N.A. Ismail, Entisarat M. Elshobaky, Ismail K. Abd El Aziz “”Observations on Divided Differences Via Liebnitz Rule”, 14th International Conference of Statistics & Computer Science, V-1, pp 101-115, Cairo (1989).

III. On Computational Linear Algebra:
[36] Hassan N.A. Ismail, Mohamed A. Ramadan “An Efficient Computation of the Transient Response Evaluation From the State Transition Matrix. IMACS’91, 13th World Congress on Computation & Applied Mathematics, Vol. 3, pp. 1333-1335, Duplin (1991).
[37] Hassan N.A. Ismail, Mohamed A. Ramadan “Arnoldi Method for Transfer Function Matrices Computation of Linear Multivariable Control Systems”, 4th Conference on Aeronautical Sciences & Aviation Technology, pp 373-382, M.T.C., Cairo (1991).

IV. On Parrallel Computations:
[38] Hassan N.A. Ismail, Mohamed R. Saady “Implementation of Parallel Multigrid Algorithm on Cluster of Workstations”, 21st International Conference of Statistics & Computer Science & Applications, Vol. 1, pp 263-274, Cairo (1996).

V. On Stability of Multistep Methods for ODE:
[39] Hassan N.A. Ismail “On the A-stability of Numerical Multistep Methods for Solving Initial-Value problems in Ordinary Differential Equations with an Example for a Stable Multistep Method of Order 4”, SIGNUM Numerical ODE p 34-1, 34-2, 34-3, UILU, U.S.A. (1979) (Paper presented at the 4th International Conference of Statistics & Computer Science, V-11, pp 141-150, Cairo (1979).
[40] Hassan N.A. Ismail “On the Stability of New Scheme of Obtaining Finite Differences Approximation to the Solutions of Initial Boundary Value Problems for Hyperbolic System of Partial Differential Equations”, 9th International Conference of Statistics & Computer Science, V-1, pp 7-19 Cairo (1984).
[41] Hassan N.A. Ismail “Theoretical Approach to An Implicit and Explicit Stable Algorithm for Solving the Vorticity Equations”, 10th International Conference of Statistics & Computer Science, V-1, pp 57-64 Cairo (1985).
[42] Hassan N.A. Ismail, Esam Hosny, Abdalla M. Meselhy “An Efficient Computer Aided Time Domain Analysis Lumped-Distributed Network”, 30th Midwest Symposium on Circuits & Systems, pp 1399-1402, U.S.A. Syracuse (1987).
[43] Hassan N.A. Ismail, Ahsan M. Sabek “On the Methods of Deriving New Multistep A-Stable Method for Solving Initial-Value problem in ODEs”, 9th International Conference of Statistics & Computer Science, V-3, pp 357-370 Cairo (1985).
[44] Hassan N.A. Ismail, Z. El Sady “On Generation of Variable Step Size Linear Multisteps Method for Solving the Initial-Value-Problems in Ordinary Differential Equations”, 2nd Operations Research Conferene & Applications, pp 447-786, M.T.C. Cairo (1987).
[45] Hassan N.A. Ismail, Z. El Sady, Ahsan M. Sabek “On A-Stable High-Order Numerical Composite Multistep Methods”, 14th International Conference of Statistics & Computer Science, V-1, pp 117-131, Cairo (1989).
[46] Hassan N.A. Ismail, Z. El Sady, Ahsan M. Sabek “On a New Multistep Methods for a Type of mth Order Initial-Boundary-Value Problems”, 3rd Operations Research Conference & Applications, Vol. 2, pp 748-765, M.T.C. Cairo (1989).
[47] Hassan N.A. Ismail, Ahsan M. Sabek “Construction of a Operators of Maximum order for Multistep Methods for a type of Initial-Value problem for Ordianry Differential Equations”, 16th International Conference of Statistics & Computer Science, pp 281-297, Cairo (1991).
[48] Hassan N.A. Ismail, Ahsan M. Sabek “New Multistep Methods for a Type of mth Order Initial-Value problems with Examples”, 17th International Conference of Statistics & Computer Science, pp 189-206, Cairo (1992).
[49] Hassan N.A. Ismail, Samia M. Ibrahim “Numerical Solution of the Evolution Problem in Banach Space”, 11th Annual Operations Research Conference, V-11, pp 1174-1186, Cairo (1988).
 
 
VI. On Numerical Treatment of Delay and Neutral ODE:
 [50] Hassan N.A. Ismail, Wafaa M.M. Ahmed “Derivation of the Predictor-Modified-Corrector – Final-Value method for Solving a Delay Differential Equation”, 17th International Conference of Statistics & Computer Science, pp 209-219, Cairo (1992).
 [51] Hassan N.A. Ismail, Wafaa M.M. Ahmed “Stability of the Predictor-Corrector Method for Delay Differential Equations”, 18th International Conference of Statistics & Computer Science, V-1, pp 309-326, Cairo (1993).
 [52] Hassan N.A. Ismail, Wafaa M.M. Ahmed “General Predictor-Modified-Corrector- Final Value k-Step Method for Solving System of Delay Differential Equations”, 18th International Conference of Statistics & Computer Science, V-1, pp 329-344, Cairo (1993).
 [53] Hassan N.A. Ismail, Moshira M.H. Kamel “The Numerical Multistep Methods of Differential-Difference Equations of Neutral Type”, 5th Conference on Operations Research & Applications, BOR 9, pp 448-462, MTC, Cairo (1993).
 [54] Hassan N.A. Ismail, Salah Hafez, Moshira M.H. Kamel “Continued Fractions and Solution of a Class of Differential-Difference Equations”, 19th International Conference of Statistics & Computer Science, V-11, pp 9-23, Cairo (1994).
 [55] Hassan N.A. Ismail, Salah Hafez, Moshira M. H. Kamel “Comparison Between Miller Alogorithem and Algorithm Based on Continued Fractions for Solving a Class of Difference Equations”, 1st Conference of Functional Differential Equations and Applications, Cairo (1995) and 20th International Conference of Statistics & Computer Science, Vol. III, pp 27-40, Cairo (1995).

VII. On Numerical Treatment of ODE by Sectral Analysis:
 [56] Hassan N.A. Ismail “Numerical Solution of Partial Differential Equations with Fixed Boundary”, 11th Annual Operations Research Conference, V-11, pp 1162-1173, Cairo (1988).
 [57] Hassan N.A. Ismail, H. El Hawary “Numerical Solution of Eigenvalue Problems for Partial Differential Equations”, 14th International Conference of Statistics & Computer Science, V-1, pp 19-36, Cairo (1989).

VIII. On Parabolic Problem with Lagrange Multipliers:
 [58] Hassan N.A. Ismail, Z. El Sady “On the Accuracy of Numerical Solution of Initial-Boundary Value Problems of Parabolic Type”, 11th International Conference of Statistics & Computer Sciences, V-11, pp 215-228, Cairo (1986).
 [59] Hassan N.A. Ismail, Z. El Sady “The Error Estimation of Modified Solution of Initial Boundary-Value Problem of Parabolic Type”, 11th International Conference of Statistics & Computer Sciences, V-11, pp 229-244, Cairo (1996).
 [60] Hassan N.A. Ismail, Z. El Sady “Numerical Method for Solving the Two Phase Stefan Problem in Multidimensional Space”, 2nd operations Research Conference & Applications, pp. 757-777, M.T.C. Cairo (1987).
 [61] Hassan N.A. Ismail, Z. El Sady “A Solution of Hyperbolic Initial-Boundary-Value- Problems in N-Dimension Space”, 13th International Conference of Statistics & Computer Science, V-11, pp 35-44, Cairo,
 [62] Hassan N.A. Ismail, Z. El Sady “Accurate Lagrange Multiplier for Equivalent Integral Constraints Method for Parabolic P.D.Es.”, 25th International Conference for Statistics & Computer Sciences and its Applications, Vol. II, pp 11-17, Cairo (2000).

IX. On Numerical Treatment of Atomic Scattering:
 [63] Hassan N.A. Ismail; Aly N. El Wakeil, Abd Azeem A. Abdallah “Solution of System of Coupled-Integro-Differential Equations of Electron-Atom Scattering Using Analytic Continuation”, 14th International Conference of Statistics & Computer Science, V-1, pp 405-415, Cairo (1989).
 [64] Hassan N.A. Ismail; Aly N. El Wakeil, Abd Azeem A. Abdalla “A Computer Program for the Calculation of the Electron-Atom Collision Cross-Section”, 14th International Conference of Statistics & Computer Science, V-1, pp. 417-433, Cairo (1989).

X. On Sediment Problem Finite Element Approach:
 [65] F. Ebersoldt; Intisarat M. El Shobaky; Hassan N.A. Ismail, Mohamed Elmoattassem “Numerical Model for Sediment Transport Problem”, 22nd International Conference of Statistics & Computer Science & Application, pp 35-48, Cairo (1997).

 
XI. On Simulating Silicon PNP Transistor:
 [66] Hassan N.A. Ismail, Mahmoud F. M. Hassan “Two Dimensional Numerical Technique for Silicon Mos Transistor” SIAM Annual Meeting, San Diego, CA, July (1994), International Congress of Mathematics ICM, Zurich, August (1994) and 20th International Conference of Statistics & Computer Sciences, Vol. III, pp 16-26, Cairo (1995).

XII. Flux Limiter, Weak Solution of Hyperbolic Conservation Law:
 [67] Hassan N.A. Ismail, Fatma A. Zaid “On Modified Numerical Schemes for Weak Solutions of Initial Value Problems for Hyperbolic Conservation Laws”, 22nd International Conference of Statistics & Computer Science & Application, pp 25-35, Cairo (1997).
 [68] Hassan N.A. Ismail, Fatma A. Zaid “High Resolution Implicit Flux Limiter Method for Hyperbolic Conservation Law”, 8th Conference on Applied Mechanics & Mechanical Engineering, pp 515-530, MTC, Cairo (1998).
 [69] Hassan N.A. Ismail, Fatma A. Zaid “General Form of Explicit Finite Difference Scheme and the Modification of the Flux Limiter Method for Hyperbolic Conservation Form”, 23rd International Conference of Statistics & Computer Science & Applications, pp 329-344, Cairo (1998).
 [70] Hassan N.A. Ismail, Fatma A. Zaid “General Form of Explicit Finite Difference Scheme and the Modification of the Flux Limiter Method for hyperbolic Conservation Laws”, 26th International Conference for Statistics & Computer Sciences and its Applications, Cairo, pp 329-345, (2001).

XIII. Multigrid Numerical Approach:
 [71] Hassan N.A. Ismail; Osama M. El Giar, Hoda Ibrahim “Multigrid Solution For Solving Elliptic Partial Differential Equations with a Mixed Derivative Terms”, 18th International Conference of Statistics & Computer Science, V-1, pp 257-267, Cairo (1993).
 [72] Hassan N.A. Ismail; Osama M. El Giar, Bothaina Soliman “multigrid Method for Solving Elliptic Partial Differential Equations with General Boundary Condition”, 18th International Conference of Statistics & Computer Science, V-1, pp 269-280, Cairo (1993).
 [73] Hassan N.A. Ismail; Osama M. El Giar, Bothaina Soliman “Three-Dimensional Multigrid Method for Solving Elliptic Partial Differential Equations with General Boundary Conditions”, 5th Conference on Operations Research & Applications, BOR 4, pp 391-400, MTC, Cairo (1993).
 [74] Hassan N.A. Ismail; Osama M. El Giar, Bothaina Soliman “On Three-Dimensional Multigrid Method for Solving the General P.D.E. with Mixed Derivative Terms”, 5th Conference on Operations Research & Applications, BOR 5, pp 401-413, MTC, Cairo (1993).
 [75] Hassan N.A. Ismail; Osama M. El Giar, Atef Abd El Gelil “A Polar Coordiantes Multigrid Method for Solving Elliptic Partial Differential Equations in A Quarter of a Unit Circle”, 5th Conference on Operations Research & Applications, BOR 7, pp 421-434, MTC, Cairo (1993).
 [76] Hassan N.A. Ismail; Osama M. El Giar, Atef Abd El Gelil “Multigrid Method for Solving Elliptic partial Differential Equations in a quarter of A Unit Circle”, 5th Conference on Operations Research & Applications, BOR 8, pp 435-447, MTC, Cairo (1993).
 [77] Hassan N.A. Ismail; Osama M. El Giar, Bothaina Soliman “Multigrid Methods for Solving the General Elliptic Partial Differential Equations in Three Dimensional Space”, 19th International Conference of Statistics & Computer Science, V-11, pp 1-8, Cairo (1994).
 [78] Hassan N.A. Ismail; Osama M. El Giar, Hoda Ibrahim “The Implicit Line Relaxation for the Three Dimensional Multigrid Method for Solving the General Elliptic Partial Differential Equation with Mixed Derivative Terms”, 19th International Conference of Statistics & Computer Science, V-11, pp 25-35, Cairo (1994).
 [79] Hassan N.A. Ismail; Osama M. El Giar, Atef Abd El Gelil “Three-Dimensional Full-Multigrid Method for Solving Poisson’s Equation in Spherical Polar Coordinates Using W-Cycle”, 19th International Conference for Statistics & Computer Science V II, pp 37-48, Cairo (1994).
 [80] Hassan N.A. Ismail; Osama M. El Giar, Atef Abd El Gelil “Multigrid Method for Solving Elliptic Partial Differential Equations with a Mixed Derivative Term in Polar Coordinates”, 19th International Conference of Statistics & Computer Science, V-11, pp 49-65, Cairo (1994).
 [81] Hassan N.A. Ismail; Osama M. El Giar, Atef Abd El Gelil “Numerical Solution of Boundary Value Problems in Polar Coordinates Using the Full Multigrid Method”, 1st Conference of Functional Differential Equations and 20th International Conference of Statistics & Computer Science, Vol. II, pp 41-60, Cairo (1995).
XIV. Restrictive Padé Approximations & Applications:
 [82] Hassan  N.A.  Ismail, El Sayed M. E. El Barbary “Efficient Solution of Variable Coefficients ODE with Examples for Famous Special Functions and Others”, 21st International Conference of Statistics & Computer Science & Application, Vol. 1, pp 305-316, Cairo (1996).
 [83] Hassan N.A. Ismail, El Sayed M.E. El Barbary “Accelerating Technique for Any Implicit Finite Difference Schemes for Two Dimensional Initial Boundary Value Problem for Parabolic Partial Differential Equations”, 8th Conference on Applied Mechanics & , MTC, Cairo (-Mechanical Engineering, pp 54
 [84] Hassan  N.A. Ismail,  El Sayed M.E. El Barbary “Efficient Solutions for Variable Coefficients Ordinary, Partial and Integro-Differential Equations” 8th Conference on Applied Mechanics & Mechanical Engineering, pp 555-564 MTC, Cairo (1998).
 [85] Hassan N.A. Ismail, El Sayed M.E. El Barbary “Accelerating Technique for any Implicit Finite Difference Scheme for Two Dimensional Convection-Diffusion Equation”, 23rd International Conference for Statistics & Computer Sciences and its Applications, pp 452-458, Cairo (1998).
 [86] Hassan N.A. Ismail, Amal El Beetar “A Restrictive Padé Approximation for the Solution of Schrodinger Equation”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 51-59, Cairo (1999).
 [87] Hassan N.A. Ismail, Amal El Beetar “A Restrictive Padé Approximation for the Solution of Schrodinger Equation in Two Dimensions”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 61-67, Cairo (1999).
 [88] Hassan N.A. Ismail; El Sayed M.E. El Barbary, Adel Y.H. Younes “Restrictive Padé approximation for Solving First Order Hyperbolic systems in One Space Dimension”, 25th International Conference for Statistics & Computer Sciences and its Applications, Vol. II, pp 19-25, Cairo (2000).
 [89] Hassan N.A. Ismail, Adel Y.H. Younes “Restrictive Padé Approximation for Solving First Order Hyperbolic System of Partial Differential Equations in Two Space Dimensions”, 9th International Conference for Aerospace Science & Aviation Technology ASAT-9, pp 51-59, Cairo (2001).
 [90] Hassan N.A. Ismail, Adel Y.H. Younes “Restrictive Padé Approximation for Singularly Perturbed Initial Boundary Value Problem for Hyperbolic Partial Differential Equations”, 9th International Technology ASAT-9, Cairo, pp 61-69 (2001).
 [91] Hassan N.A. Ismail, Amal El Beetar “Restrictive Padé Approximation for Shrodinger Equation with Variable Coefficients”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 527-535, Cairo (2002).
 [92] Hassan N.A. Ismail, Mahmoud F. El Said “Restrictive Padé Approximation for Variable Coefficients Linear Initial-Boundary Value problem for Hyeprbolic Partial Differential Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 537-545, Cairo (2002).
 [93] Hassan N.A. Ismail; Z. El Sady, Aziza A. Abd Rabboh “Restrictive Padé Approximation for the Solution of Burger’s Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 479-485, Cairo (2002).
 [94] Hassan N.A. Ismail; Z. El Sady, Aziza A. Abd Rabboh “Restrictive Padé Approximation for the Solution of Modified Burger’s Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 487-482, Cairo (2002).
 [95] Hassan N.A. Ismail, Mahmoud F. El Said “Restrictive Padé Approximation for Variable Coefficients Linear Initial-Boundary Value problem for Hyperbolic Partial Differential Equation in Two Space Dimension”, 1st International Conference of Engineering Mathematics and Physics MTC, pp 90-100, Cairo (2002).
 [96] Hassan N.A. Ismail, Mahmoud F. Al Said “Restrictive Padé Approximation for System of Variable Coefficients Linear Initial-Boundary Value Problem for Hyperbolic Partial Differential Equations”, 1st International Conference on Engineering Mathematics and physics MTC, pp 72-79, Cairo (2002).
 [97] Hassan N.A. Ismail; El Sayed M.F. El Barbary, Ghada S.E. Salem “Restrictive Taylor’s Approximation for Solving Two Dimensional Convection-Diffusion Equation”, 1st International Conference on Engineering Mathematics and physics MTC, pp 63-74, Cairo (2002).
 [98] Hassan N.A. Ismail; El Sayed M.E. El Barbary, Ghada S.E. Salem “Restrictive Taylor’s Approximation for Solving Singularly Perturbed Initial Boundary Value Problem for Hyperbolic PDE”, 28th International Conference of Statistics and Computer Science and its Applications, Vol. 3, pp 9-16 (2002) 63-74, Cairo (2003).
 [99] Hassan N.A. Ismail, Aziza A. Abd Rabboh “Restrictive Padé Approximation for the Solution of Generalized Huxley Equation and Generalized Burger’s Huxley Equations”. 28th International Conference of Statistics and Computer Science and its Applications, Vol. 3, pp 17-24 Cairo, (2003).
 [100] Hassan N.A. Ismail, Ghada S.e. Salem “On the convergence of the Restrictive Taylor Approximation to the Exact Solution of IBVP of Parbolic, Hyperbolic, Convection Diffusion and KdV Equations”. 29th International Conference of Statistics and Computer Science and its Applications, Vol. 2, pp 11-22 Cairo, (2003). Sent for Publication for Appl. Math. & Computations. (U.S.A.).
 [101] Hassan N.A. Ismail, Aziza A. Abd Rabboh “On the Convergence of the Restrictive Padé Approximation to the Exact Solution of Non-Linear IBVP for the Generalized Burger’s-Huxley and Generalized Burger’s-Fisher Equations”, 29th International Conference of Statistics and Computer Science and its Applications, Vol. 2 pp 23-32 Cairo, (2004). Sent for Publication for Appl. Math. & Computation, (U.S.A.).
 [102] Hassan N.A. Ismail; Entisarat M. Elshobaky, Aliya M.K. Khattab “On the General Term of a Cauchy Product of Two Series of the Truncation Error or Restrictive Padé Approximation for Problems of Parabolic and Hyperbolic Types”, 29th International Conference of Statistics and Computer Science and its Applications, Vol. 2, pp 33-45 Cairo, (2004). Sent for Publication for Appl. Math. & Computation, (U.S.A.).
 [103] Hassan N.A. Ismail; Entisarat M. Elshobaky, Aliya M.K. Khattab “Convergence Invariance of Restrictive Levels for Restrictive Padé Approximation to the Exact Solution of a Class of IBVP of Parabolic and Hyperbolic Types”, Sent for Appl. Math. & Computation Second International Conference on Engineering Mathematics and Physics EMP, pp 30-34, (2004), Cairo, Egypt.
 [104] Hassan N.A. Ismail, Aziza A. Abd Rabboh “Comparison between the Adomain Decomposition Method and the Restrictive Padé Approximatin Method for Burger’s-Huxley and Burger’s- Fisher Equations”, Second International Conference on Engineering Mathematics and Physics EMP, pp 44-55, (2004) Cairo.
 [105] Hassan N.A. Ismail, Aziza A. Abd Rabboh “Non linear Schr?dinger Equation Via Restrictive Pade’ Approximation” 30th International Conference of Statistics of Computer Science and its Applications vol. 2, pp 61-67, Cairo, (2005)
 [106] Hassan N.A. Ismail “More General Approach on the Convergence of the Restrictive Padé Approximation to the Exact Solution of the Types of IBVPs for Parabolic and Hyeprbolic PDEs”, 30th International conference of Statistics & Computer Science and its Applications, vol. 2, pp 51-60 Cairo (2005).