Educational Qualifications: 

Ph. D. In Mathematics ( Applied and Computational Mathematics ) , School of Mathematical Sciences, Monash University, 2013


M. Sc. In Mathematics ( Scientiﬁc Computations ) , Faculty of science, Assiut University, 2008


B. Sc. In Mathematics, Faculty of Science, Assiut University, 2004



Lecturer, Department of Mathematics , Faculty of Science, ِِAssiut University, 2013


Assistant Lecturer, Department of Mathematics , Faculty of Science, Assiut University, 2008


Demonstrator, Department of Mathematics , Faculty of Science, Assiut University, 2004

Research fields: Scientiﬁc Computing , Optimal Control Theory , Approximation Theory , Nonlinear Programming
Publications: 
1  Kareem T. Elgindy, A HighOrder Embedded Domain Method Combining A PredictorCorrectorFourierContinuationGram Method With An Integral Fourier Pseudospectral Collocation Method for Solving Linear Partial Differential Equations in Complex Domains, Journal of Computational and Applied Mathematics , Elsevier, Volume 361, pp. 372395, https://www.sciencedirect.com/science/article/pii/S0377042719301578?dgcid=author, December, 2019

2  Kareem T. Elgindy and Bulent Karasozen, Distributed optimal control of viscous Burgers' equation via a highorder, linearization, integral, nodal discontinuous GegenbauerGalerkin method, Optimal Control, Applications and Methods , John Wiley & Sons, DOI: 10.1002/oca.2541, 8, 2019

3  Kareem T. Elgindy, Optimization via Chebyshev polynomials, Journal of Applied Mathematics and Computing , Springer, Volume 56  Issues 12, 317–pp. 349, https://link.springer.com/article/10.1007/s121900161076x, February, 2018

4  Kareem T. Elgindy, Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method, Journal of Industrial and Management Optimization , AMER INST MATHEMATICAL SCIENCESAIMS, Volume 14  Issue 2, 473–pp. 496, http://aimsciences.org/article/doi/10.3934/jimo.2017056, April, 2018

5  Kareem T. Elgindy, Hareth M. Refat, Highorder shifted Gegenbauer integral pseudospectral method for solving differential equations of LaneEmden type, Applied Numerical Mathematics , Elsevier, Volume 128, pp. 98–124, https://www.sciencedirect.com/science/article/pii/S0168927418300278, June, 2018

6  Kareem T. Elgindy and Sayed A. Dahy, Highorder numerical solution of viscous Burgers' equation using a ColeHopf barycentric Gegenbauer integral pseudospectral method, Mathematical Methods in the Applied Sciences , John Wiley & Sons, Volume 41  Issue 16, pp. 62266251, 2018

7  Kareem T. Elgindy and Bulent Karasozen, Highorder integral nodal discontinuous GegenbauerGalerkin method for solving viscous Burger's equation, International Journal of Computer Mathematics , Taylor & Francis, Volume 96  Issue 10, pp. 20392078, https://www.tandfonline.com/doi/full/10.1080/00207160.2018.1554860, October, 2018

8  Kareem T. Elgindy, Highorder, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures, Applied Numerical Mathematics , Elsevier, Volume 113, pp. 1–25, http://www.sciencedirect.com/science/article/pii/S016892741630215X, March, 2017

9  Kareem T. Elgindy, Highorder adaptive Gegenbauer integral spectral element method for solving nonlinear optimal control problems, Optimization , Taylor & Francis, Volume 66  Issue 5, pp. 811–836, http://www.tandfonline.com/eprint/tYdwG7sFKynUzBNwYbC5/full, March, 2017

10  Kareem T. Elgindy, Highorder numerical solution of secondorder onedimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method, Numerical Methods for Partial Differential Equations , John Wiley and Sons, Volume 32  Issue 1, pp. 307–349, http://onlinelibrary.wiley.com/doi/10.1002/num.21996/abstract, January, 2016

11  Kareem T. Elgindy, Gegenbauer Collocation Integration Methods: Advances in Computational Optimal Control Theory, Bulletin of the Australian Mathematical Society , Cambridge, Volume 89, pp. 168–170, http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=9163955, 2014

12  Kareem T. Elgindy, Kate A. SmithMiles, Fast, accurate, and smallscale direct trajectory optimization using a Gegenbauer transcription method, Journal of Computational and Applied Mathematics , Elsevier, Volume 251, pp. 93–116, http://www.sciencedirect.com/science/article/pii/S0377042713001404, October, 2013

13  Kareem T. Elgindy, Kate A. SmithMiles, Optimal Gegenbauer quadrature over arbitrary integration nodes, Journal of Computational and Applied Mathematics , Elsevier, Volume 242, pp. 82–106, http://www.sciencedirect.com/science/article/pii/S0377042712004578, April, 2013

14  K.T. Elgindy, Kate A. SmithMiles, Solving boundary value problems, integral, and integrodifferential equations using Gegenbauer integration matrices, Journal of Computational and Applied Mathematics , Elsevier, Volume 237  Issue 1, pp. 307–325, http://www.sciencedirect.com/science/article/pii/S0377042712002348, January, 2013

15  Kareem T. Elgindy, Kate A. SmithMiles, On the optimization of Gegenbauer operational matrix of integration, Advances in Computational Mathematics , Springer US, Volume 39, pp. 511–524, http://link.springer.com/article/10.1007%2Fs1044401292895, December, 2013

16  Elgindy, Kareem , Gegenbauer Collocation Integration Methods: Advances in Computational Optimal Control Theory, PhD dissertation, Faculty of Science. School of Mathematical Sciences , Monash University, ethesis20130514180935, http://arrow.monash.edu.au/hdl/1959.1/871757, https://figshare.com/articles/Gegenbauer_collocation_integration_methods_advances_in_computational_optimal_control_theory/4704919, 2013

17  Kareem T. Elgindy, Kate A. SmithMiles, Boris Miller, Solving optimal control problems using a Gegenbauer transcription method, Proceedings of 2012 Australian Control Conference, AUCC 2012 , IEEE & Engineers Australia, pp. 417–424, http://ieeexplore.ieee.org/xpl/login.jsp?tp=&arnumber=6613232&url=http%3A%2F%2Fieeexplore.ieee.org%2Fxpls%2Fabs_all.jsp%3Farnumber%3D6613232, November, 2012

18  K.T. Elgindy, Generation of higher order pseudospectral integration matrices, Applied Mathematics and Computation , Elsevier, Volume 209  Issue 2, pp. 153–161, http://www.sciencedirect.com/science/article/pii/S0096300308006000, March, 2009

19  Kareem T. Elgindy, AbdelRahman Hedar, A new robust line search technique based on Chebyshev
polynomials, Applied Mathematics and Computation , Elsevier, Volume 206  Issue 2, pp. 853866, http://www.sciencedirect. com/science/article/pii/S0096300308005985., December, 2008

Number of courses0 course 
