Moawwad E.A. El-Mikkawy

Professor of Mathematics ( Numerical Analysis & Scientific Computing ), Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, , Egypt.

Personal Data

Scientific Qualifications

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• B. Sc. Mathematics, Mansoura University, 1974.

• M. Sc. Mathematics, Mansoura University, 1979.

• Ph. D. Mathematics ( Numerical Analysis & Scientific Computing ) , Council for National Academic Awards ( CNAA ) , ENGLAND , U.K. , July , 1986.

 Ph. D. Program of Work : Embedded Runge- Kutta – NystrΙm Methods

 Supervisors : (1) Dr. Peter J. Prince ( Department of Computer Science )
                      (2) Dr. John. R. Dormand ( Department of Mathematics )
 Examiners :  (1) Professor Ian Gladwell , Manchester University , U.K.
                    (2) Dr. Peter J. Prince , Teesside Polytechnic , Middlesbrough , 

                         U.K.(currently Teesside  University )

Academic Appointments

• 1974 – 1979 : Demonstrator, Mansoura University, EGYPT.
• 1979 – 1982 : Assistant Lecturer, Mansoura University, EGYPT.
• 1982 – 1986 : Ph. D. Student (Scholarship) , ENGLAND, U.K.
• 1986 – 1990 : Lecturer of Mathematics , Mansoura University, EGYPT.
• 1990 – 1991 : Lecturer of Computer Science, Salalah T.T. College, SULTANATE OF OMAN.
• 1991 – 1994 : Lecturer of Computer Science and Head of the Department , Salalah T.T. College, SULTANATE OF OMAN.
• 1994 – 1998 : Assistant Professor of Mathematics , Mansoura University, EGYPT.
• 1998 – 2000 : Associate Professor of Computer Science , King Saud University ( Al -Qaseem Branch ), SAUDI ARABI.
• 2000 - 2004 : Assistant Professor of Mathematics , Mansoura University, EGYPT.
• 2004 – now : Professor of Mathematics ( Numerical Analysis & Scientific Computing ) , Mathematics Department, Faculty of Science , Mansoura University , EGYPT.

• Numerical Analysis ( Algorithmic Developments & Implementation ) .

• Scientific Computing including Computer Algebra Systems (CAS).

• Computational Combinatorics.

Teaching Experience

 I have taught the following subjects in recent years :
 Numerical Analysis - Computer Mathematics-Introduction to Computer Science -

 Algebra – Geometry -  Calculus – Differential Equations – Advanced Calculus –

 Statistics - Linear Algebra –- Computer Programming in BASIC – Computer

 Programming in  PASCAL - Computer Programming in FORTRAN - Computer

 Programming in  MAPLE - Computer Programming in MACSYMA – Data Base

 - Computer  Algebra Systems (CAS) - Computer Science and Society -

 Mathematics for  Engineering students – Mathematics for Economy students –

 Summer Training  Computer Courses - Advanced Numerical Analysis and 

 Scientific Computing.

• Recent Advances in Mathematics and Computer Science , International Center for Theoretical Physics ( ICTP ) , ITALY , May - June , 1990.
• International Conference of Statistics and Computer Science, No. 21, Cairo, EGYPT.

• Member of the Egyptian Mathematical Society.

• Member of the Egyptian Syndicate of Scientific Professionals.

• Referee of research articles in the following scientific journals
  (1) Discrete Applied Mathematics (DAM ).
  (2) Linear Algebra and Its Applications (LAA) .
  (3) International Journal of Mathematics and Mathematical Sciences .
  (4) Ars Combinatoria
  (5) Journal of Computational and Applied Mathematics (JCAM) .
• One of the founders of Mansoura Faculty of Computers and Information Systems during the period 1996 - 1998.
• One of the main developers of Computer Labs at Mansoura Faculty of Science, Mitghamr Faculty of Specific Education, Mansoura Faculty of Computers and Information Systems , Salala T. T. College ( SULTANATE OF OMAN) and King Saud University ( Al-Qaseem Branch ), SAUDI ARABIA ( Currently Al-Qaseem University) .

Experience

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• Teaching many Mathematics and Computer Science courses since 1986 in EGYPT, SULTANATE OF OMAN (1990 – 1994) and SAUDI ARABIA (1998 – 2000 ) for both undergraduate and postgraduate students .
• Supervisor and Co-Supervisor for 9 M. Sc. and Ph. D. students.
• Head of the Department of Mathematics and Computer Science , Salalah T.T. College , SULTANATE of OMAN for 3 years (1991- 1994).
• VAX / VMS Training , GIZA Company , EGYPT for 1 month .
• System Manager for the Computer Unit of the Faculty of Science , Mansoura University , EGYPT for 3 years.

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• J. R. Dormand, M. E. A. El-Mikkawy and P. J. Prince, Families of Runge –Kutta -Nystrom Formulae, Institute of Mathematics and Its Applications, Journal of Numerical Analysis , Vol. 7 , pp. 235 - 250, 1987.
• J. R. Dormand, M.E.A. El-Mikkawy and P. J. Prince, High Order Embedded Runge – Kutta - Nystrom Formulae, Institute of Mathematics and Its Applications, Journal of Numerical Analysis, Vol. 7, pp. 423 - 430, 1987.
• M.E.A. El-Mikkawy, An Algorithm for Solving Vandermonde Systems, Journal of Institute of Mathematics and Computer Science, Vol. 3, No.3, pp.293 - 297,1990.
• M.E.A. El-Mikkawy, Useful Studies on Runge-Kutta Order Conditions up to Order Six, Journal of Institute of Mathematics and Computer Science, Vol. 4, No.1, pp.95 - 101, 1991.
• M.E.A. El-Mikkawy, A Note on The Lagrangian Interpolation and The Elementary Symmetric Polynomials, Journal of Institute of Mathematics and Computer Science, Vol. 4, No.2, pp.181-184, 1991.
• M.E.A. El-Mikkawy, An Algorithm for Solving Tri-diagonal Systems, Journal of Institute of Mathematics and Computer Science, Vol. 4, No.2, pp.205 - 210, 1991.
• M.E.A. El-Mikkawy, A Better Approach for The Derivation of The Embedded Runge -Kutta - Nystrom Pair of Orders 6 and 4, International Journal of Computer Mathematics , Vol. 40, No. 1 + 2, pp. 245 - 249, 1991.
• M.E.A. El-Mikkawy, An Algorithm For Solving Pentadiagonal Systems, Bulletin of Faculty of Science , Assiut University, Vol. 21 (2 - D), No.2, pp.11 - 15, 1992.
• M.E.A. El-Mikkawy, Notes on Linear Systems with Positive Definite Tri-diagonal Matrices, Indian Journal of Pure and Applied Mathematics, Vol. 33, No. 8, pp. 1285 - 1293, 2002.
• M.E.A. El-Mikkawy, On The Error Analysis Associated with The Newton-Cotes Quadrature Formulae, International Journal of Computer Mathematics, Vol. 79, No. 9, pp. 1043 - 1047, 2002.
• M.E.A. El-Mikkawy, On Solving Linear Systems of The Pascal Type, Applied Mathematics and Computations, Vol. 136, No. 1, pp. 195 - 202, 2003.
• M.E.A. El-Mikkawy and B.S. El-Desouky , On a Connection Between Symmetric Polynomials, Generalized Stirling Numbers and The Newton General Divided Difference Interpolation Polynomial, Applied Mathematics and Computations, Vol. 138, No. 2, pp. 375-385 , 2003.
• M.E.A. El-Mikkawy, A Unified Approach to Newton-Cotes Quadrature Formulae, Applied Mathematics and Computations, Vol. 138, No. 2, pp. 403 - 413, 2003.
• M.E.A. El-Mikkawy, A Note on a Three-term Recurrence for a Tri-diagonal Matrix, Applied Mathematics and Computations, Vol. 139, No. 2, pp. 503 - 511, 2003 .
• M.E.A. El-Mikkawy , Inversion of a Generalized Vandermonde Matrix, International Journal of Computer Mathematics, Vol. 80 , No. 6 , pp. 759-765 , 2003.
• M.E.A. El-Mikkawy and G. -S. Cheon, A Connection Between a Generalized Pascal Matrix and The Hypergeometric Functions, Applied Mathematics Letters, Vol. 16, No.8, pp.1239 - 1243 , 2003.
• M.E.A. El-Mikkawy, Vandermonde Interpolation Using Special Associated Matrices , Applied Mathematics and Computations, Vol. 141, No. 2, pp. 589 - 595, 2003.
• M.E.A. El-Mikkawy and M. M. M. Eisa , A General Four-parameter Non-FSAL Embedded Runge-Kutta Algorithm of Orders 6 and 4 in Seven Stages, Applied Mathematics and Computations, Vol. 143, No. 2, pp. 259 - 267, 2003.
• M.E.A. El-Mikkawy, On a Connection Between The Pascal, Vandermonde and Stirling Matrices - I, Applied Mathematics and Computations, Vol. 145, No. 1, pp. 23 -32, 2003.
• M.E.A. El-Mikkawy and E.Rahmo, A New Optimized Non-FSAL Embedded Runge-Kutta-Nystrom Algorithm of Orders 6 and 4 in Six Stages, Applied Mathematics and Computations, Vol. 145, No. 1, pp. 33 - 43, 2003.
• M.E.A. El-Mikkawy, Explicit Inverse of a Generalized Vandermonde Matrix, Applied Mathematics and Computations , Vol. 146, No. 2, pp. 643 - 651,2003.
• M.E.A. El-Mikkawy, On a Connection Between The Pascal, Vandermonde and Stirling Matrices - II, Applied Mathematics and Computations, Vol. 146, No. 2, pp. 759 - 769, 2003.
• M.E.A. El-Mikkawy, On The Inverse of a General Tri-diagonal Matrix, Applied Mathematics and Computations, Vol. 150 , pp. 669 - 679 , 2004.
• M.E.A. El-Mikkawy, A Note on The Stirling Matrix of The Second Kind, Applied Mathematics and Computations, Vol. 151, pp. 147 - 151, 2004.
• G. - S. Cheon and M.E.A. El-Mikkawy , Extended Symmetric Pascal Matrices via Hypergeometric Functions, Applied Mathematics and Computations, Vol. 158 , pp. 159 - 168 , 2004.
• M.E.A. El-Mikkawy, A Fast Algorithm for Evaluating nth Order Tri-diagonal Determinants, Journal of Computational and Applied Mathematics, Vol. 166 , pp. 581 - 584, 2004.
• M.E.A. El-Mikkawy, A New Computational Algorithm for Solving Periodic Tri-diagonal Linear Systems, Applied Mathematics and Computations , Vol. 161, pp.691 - 696, 2005.
• M.E.A. El-Mikkawy, A Note on The Reducibility of Special Infinite Series, Applied Mathematics and Computations , Vol. 162, pp.311 - 315, 2005.
• M.E. A. El-Mikkawy and G. - S. Cheon, Combinatorial and Hypergeometric Identities via the Legendre Polynomial - A computational Approach , Applied Mathematics and Computations, Vol. 166, pp.181- 195, 2005.
• M.E.A. El-Mikkawy and A.A.Karawia , Inversion of General Tridiagonal Matrices, Applied Mathematics Letters , To appear , 2006 .

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