BIOGRAPHY

With a Ph.D. degree from Monash University, Australia, I am now an Associate Professor of Applied and Computational Mathematics in the Mathematics Department, School of Mathematics and Physics at Xiamen University Malaysia (XMUM) since September of 2023. I held the positions of Tutor, Assistant Lecturer, Assistant Professor, and Associate Professor at Assiut University, Egypt during 2004-present. I was a Teaching Associate at Monash University during 2011-2013. In 2016, I was granted the title of a Visiting Scholar at California Institute of Technology (Caltech) after I received the AY2016-2017 Fulbright Egyptian Visiting Scholar Award. Later, I held the ranks of Assistant and Associate Professor in the Mathematics Department at King Fahd University of Petroleum & Minerals (KFUPM), KSA during 2017-2022. I was also a member of the Interdisciplinary Research Center for Membranes and Water Security (IRC-MWS), KFUPM, in 2022. My research interests include numerical analysis, (fractional) optimal control theory, (fractional) partial differential equations, mathematical biology, and nonlinear programming. I published in top venues such as Applied Mathematics and Computation, Applied Numerical Mathematics, Journal of Computational and Applied Mathematics, Journal of Process Control, Numerical Methods for Partial Differential Equations, and Optimal Control, Applications and Methods. 

RESEARCH INTERESTS

(Fractional) Optimal Control Theory; (Fractional) PDEs; Numerical Analysis; Mathematical Biology; Nonlinear Programming.

EDUCATIONAL BACKGROUND

• 08.2009-06.2013 Doctor of Philosophy, School of Mathematical Sciences, Monash University, Australia.

• 09.2005-11.2008 Master of Science, Mathematics Department, Assiut University, Egypt.

• 09.2000-07.2004 Bachelor of Science, Mathematics Department, Assiut University, Egypt.

WORKING EXPERIENCE

• Associate Professor, XMUM, Malaysia (2023-present).

• Associate Professor, Assiut University, Assiut, Egypt (2019-present).

• Associate Professor, KFUPM, KSA (2022).

• Member of Interdisciplinary Research Center for Membranes and Water Security (lRC-MWS), KFUPM, KSA (2022).

• Assistant Professor, KFUPM, KSA (2017-2022).

• Assistant Professor, Assiut University, Egypt (2013-2019).

• Teaching Associate, Monash University, Australia (2011-2013).

• Assistant Lecturer, Assiut University, Egypt (2008-2013).

• Tutor, Assiut University, Egypt (2004-2008).

RESEARCH EXPERIENCE / GRANTS

• AY2016-2017 Fulbright Egyptian Visiting Scholar Award (9 Months Grant) (2016).

• TWAS-USM Postdoctoral Fellowship (Preliminary Acceptance) (2015).

• Monash Graduate Scholarship (MGS), Monash University, Australia (2009).

• Monash International Postgraduate Research Scholarship (MIPRS), MonashUniversity, Australia (2009).

• School of Mathematical Sciences International Postgraduate Research Stipendiary Scholarship 2009, Monash University, Australia (2009).

• Faculty of Science Dean’s International Postgraduate Research Scholarship,Monash University, Australia (2009).

• Graduate Assistantship, Northern Illinois University, USA (2009).

• Swinburne University Postgraduate Research Award (SUPRA), SwinburneUniversity of Technology, Australia (2008).

REPRESENTATIVE PUBLICATIONS

• Kareem T. Elgindy and Abdel-Rahman Hedar,“A new robust line searchtechnique based on Chebyshev polynomials,” Applied Mathematics and Computation,Elsevier, vol. 206, no. 2, pp. 853-866, 15 Dec. 2008.

• Kareem T. Elgindy,“Generation of higher order pseudospectral integrationmatrices,” Applied Mathematics and Computation, Elsevier, vol. 209, no. 2, pp. 153-161, 15 Mar. 2009.

• Kareem T. Elgindy, Kate A. Smith-Miles, and Boris Miller,“Solving optimalcontrol problems using a Gegenbauer transcription method,” Proceedings of 2012Australian Control Conference (AUCC 2012), IEEE & Engineers Australia, pp. 417-424, 15-16 Nov. 2012, University of New South Wales, Sydney, Australia.

• Kareem T. Elgindy and Kate A. Smith-Miles,“Solving boundary value problems,integral, and integro-differential equations using Gegenbauer integration matrices,” Journal of Computational and Applied Mathematics, Elsevier, vol. 237, no. 1, pp. 307-325, 1 Jan. 2013.

• Kareem T. Elgindy and Kate A. Smith-Miles,“Optimal Gegenbauer quadratureover arbitrary integration nodes,” Journal of Computational and Applied Mathematics,Elsevier, vol. 242, pp. 82-106, Apr. 2013.

• Kareem T. Elgindy and Kate A. Smith-Miles,“Fast, accurate, and small-scaledirect trajectory optimization using a Gegenbauer transcription method,” Journalof Computational and Applied Mathematics, Elsevier, vol. 251, pp. 93-116, 15 Oct. 2013.

• Kareem T. Elgindy and Kate A. Smith-Miles,“On the optimization of Gegenbauer operational matrix of integration,” Advances in Computational Mathematics,Springer US, vol. 39, pp. 511-524, 2013.

• Kareem T. Elgindy,“Gegenbauer Collocation Integration Methods: Advances inComputational Optimal Control Theory,” Ph.D. thesis, Monash University, Melbourne, Australia, 2013.

• Kareem T. Elgindy,“Gegenbauer Collocation Integration Methods: Advancesin Computational Optimal Control Theory,” Bulletin of the Australian MathematicalSociety, Cambridge University Press, vol. 89, pp. 168-170, 05 Feb. 2014.

• Kareem T. Elgindy,“High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectralmethod,” Numerical Methods for Partial Differential Equations, John Wiley & Sons, vol. 32, no. 1, pp. 307-349, Jan. 2016.

• Kareem T. Elgindy,“High-order, stable, and efficient pseudospectral methodusing barycentric Gegenbauer quadratures,” Applied Numerical Mathematics, Elsevier, vol. 113, pp. 1-25, Mar. 2017.

• Kareem T. Elgindy,“High-order adaptive Gegenbauer integral spectral elementmethod for solving non-linear optimal control problems,” Optimization, Taylor &Francis, vol. 66, no. 5, pp. 811-836, 06 Mar. 2017.

• Kareem T. Elgindy,“Optimization via Chebyshev Polynomials,” Journalof Applied Mathematics and Computing, Springer, vol. 56, no. 1-2, pp. 317-349, 2018.

• Kareem T. Elgindy,“Optimal control of a parabolic distributed parametersystem using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method,” Journal of Industrial and Management Optimization,American Institute of Mathematical Sciences (AIMS), vol. 14, no. 2, pp. 473-496, Mar. 2018.

• Kareem T. Elgindy and Hareth M. Refat,“High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane-Emden type,” Applied Numerical Mathematics, Elsevier, vol. 128, pp. 98-124, Jun. 2018.

• Kareem T. Elgindy and Sayed A. Dahy,“High-order numerical solutionof viscous Burgers’ equation using a Cole-Hopf barycentric Gegenbauer integralpseudospectral method,” Mathematical Methods in the Applied Sciences, John Wiley& Sons, vol. 41, no. 16, pp. 6226–6251, 15 Nov. 2018.

• Kareem T. Elgindy and Bülent Karasözen,“High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers’ equation,” International Journal of Computer Mathematics, Taylor & Francis, vol. 96, no. 10, pp.2039-2078, 2019.

• Kareem T. Elgindy,“A high-order embedded domain method combining aPredictor–Corrector-Fourier-Continuation-Gram method with an integral Fourierpseudospectral collocation method for solving linear partial differential equations incomplex domains,” Journal of Computational and Applied Mathematics, Elsevier, vol. 361, pp. 372-395, 1 December 2019.

• Kareem T. Elgindy and Bülent Karasözen,“Distributed optimal control ofviscous Burgers’ equation via a high-order, linearization, integral, nodal discontinuousGegenbauer-Galerkin method,” Optimal Control, Applications and Methods, JohnWiley & Sons, vol. 41, no. 1, pp. 253–277, Jan./Feb. 2020.

• Kareem T. Elgindy and Hareth M. Refat,“High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations,” Journalof Computational and Applied Mathematics, Elsevier, vol. 372, pp. 112722, Jul. 2020.

• Sayed A. Dahy and Kareem T. Elgindy,“High-order numerical solution ofviscous Burgers’ equation using an extended Cole-Hopf barycentric Gegenbauerintegral pseudospectral method,” International Journal of Computer Mathematics, Taylor & Francis, vol. 99, no. 3, pp. 446-464, 2022.

• Kareem T. Elgindy,“Numerical solution of nonlinear periodic optimal controlproblems using a Fourier integral pseudospectral method,” arXiv:2208.04305, 9 Aug. 2022.

• Kareem T. Elgindy and Hareth M. Refat, “A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps,” AIMS Mathematics, AIMS Press, vol. 8, no. 2, pp. 3561-3605, 2023.

• Kareem T. Elgindy, “New optimal periodic control policy for the optimal periodic performance of a chemostat using a Fourier-Gegenbauer-based predictor-corrector method,” Journal of Process Control, Elsevier, vol. 127, pp. 102995, Jul. 2023.

• Kareem T. Elgindy,“Optimal periodic control of unmanned aerial vehicles based on Fourier integral pseudospectral and edge-detection methods,” arXiv:2303.02969, 6 Mar. 2023.

• Kareem T. Elgindy,“Fourier-Gegenbauer pseudospectral method for solvingperiodic fractional optimal control problems,” arXiv:2304.04454, 30 Apr. 2023.

• Kareem T. Elgindy,“Fourier-Gegenbauer pseudospectral method for solvingperiodic higher-order fractional optimal control problems,” arXiv:2305.00458, 30 Apr. 2023.

• Kareem T. Elgindy,“Fourier-Gegenbauer pseudospectral method for solvingtime-dependent one-dimensional fractional partial differential equations with variablecoefficients and periodic solutions,” arXiv:2304.14061, 2 May 2023.

• Kareem T. Elgindy and Hareth M. Refat,“Direct Integral Pseudospectral andIntegral Spectral Methods for Solving a Class of Infinite Horizon Optimal OutputFeedback Control Problems Using Rational and Exponential Gegenbauer Polynomials,” arXiv:2305.17646, 28 May 2023.

HONORS/AWARDS

• Distinguished Reviewer, Deanship of Research, KFUPM (2020).

• Distinguish Performance (A+), Faculty Affairs Committee, KFUPM (2017-2020).

• Outstanding Reviewer for Journal of Computational and AppliedMathematics (2017).

• Best Paper Award in Natural Sciences, Assiut University (2017).

• Honorable mention for Bernard Neumann Prize (2012).

• Top Faculty Graduates Prize, Assiut University, Egypt (2004).