[1] |
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, vol. 14, no. 2, pp. 473-496, Apr. 2018. |
2018 |
Published |
[2] |
Kareem T. Elgindy and Hareth M. Refat, "High-order shifted Gegenbauer integral pseudospectral method for solving differential equations of Lane-Emden type," Applied Numerical Mathematics, vol. 128, pp. 98-124, June 2018. |
2018 |
Published |
[3] |
Kareem T. Elgindy and Bulent Karasozen, "High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burger's equation," International Journal of Computer Mathematics, pp. 1-44, Oct. 2018. |
2018 |
Published |
[4] |
Kareem T. Elgindy, "Optimization via Chebyshev Polynomials," Journal of Applied Mathematics and Computing, vol. 56, no. 1-2, pp. 317-349, Feb. 2018. |
2018 |
Published |
[5] |
Kareem T. Elgindy and Karasozen, B., "Distributed optimal control of viscous Burgers' equation via a high-order, linearization, integral, nodal discontinuous Gegenbauer-Galerkin method,". |
2018 |
Submitted |
[6] |
Kareem T. Elgindy and Sayed A. Dahy, "High-order numerical solution of viscous Burger's equation using a Cole-Hopf barycentric Gegenbauer integral pseudospectral method," Mathematical Methods in the Applied Sciences, pp. 1-26, 2018. |
2018 |
Published |
[7] |
Kareem T. Elgindy, "High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures," Applied Numerical Mathematics, vol. 113, pp. 1-25, Mar. 2017. |
2017 |
Published |
[8] |
Kareem T. Elgindy, "High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems.," Optimization, vol. 66, no. 5, pp. 811-836, 2017. |
2017 |
Published |
[9] |
Kareem T. Elgindy, "High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method," Numerical Methods for Partial Differential Equations, vol. 32, no. 1, pp. 307-349, Jan. 2016. |
2016 |
Published |
[10] |
Kareem T. Elgindy, "Gegenbauer Collocation Integration Methods: Advances in Computational Optimal Control Theory [Abstract]," Bulletin of the Australian Mathematical Society, vol. 89, pp. 168-170, 2014. |
2014 |
Published |
[11] |
Kareem T. Elgindy, "Gegenbauer Collocation Integration Methods: Advances in Computational Optimal Control Theory," Ph.D. Dissertation, School of Mathematical Sciences, Monash University, Melbourne, Australia, 2013. |
2013 |
|
[12] |
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, vol. 237, no. 1, pp. 307-325, Jan. 2013. |
2013 |
Published |
[13] |
Kareem T. Elgindy and Kate A. Smith-Miles, "On the optimization of Gegenbauer operational matrix of integration," Advances in Computational Mathematics, vol. 39, pp. 511-524, Dec. 2013. |
2013 |
Published |
[14] |
Kareem T. Elgindy and Kate A. Smith-Miles, "Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method," Journal of Computational and Applied Mathematics, vol. 251, pp. 93-116, Oct. 2013. |
2013 |
Published |
[15] |
Kareem T. Elgindy and Kate A. Smith-Miles, "Optimal Gegenbauer quadrature over arbitrary integration nodes," Journal of Computational and Applied Mathematics, vol. 242, pp. 82-106, Apr. 2013. |
2013 |
Published |
[16] |
Kareem T. Elgindy, Kate A. Smith-Miles, and Boris Miller, "Solving optimal control problems using a Gegenbauer transcription method," in Proceedings of 2012 Australian Control Conference, AUCC 2012, 2012, pp. 417-424. |
2012 |
|
[17] |
Kareem T. Elgindy, "Generation of higher order pseudospectral integration matrices," Applied Mathematics and Computation, vol. 209, no. 2, pp. 153-161, Mar. 2009. |
2009 |
Published |
[18] |
Kareem T. Elgindy and Abdel-Rahman Hedar, "A new robust line search technique based on Chebyshev polynomials," Applied Mathematics and Computation, vol. 206, no. 2, pp. 853-866, Dec. 2008. |
2008 |
Published |