Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices KT Elgindy, KA Smith-Miles Journal of Computational and Applied Mathematics 237 (1), 307-325, 2013 | 58 | 2013 |
Optimal Gegenbauer quadrature over arbitrary integration nodes KT Elgindy, KA Smith-Miles Journal of Computational and Applied Mathematics 242, 82-106, 2013 | 39 | 2013 |
High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method KT Elgindy Numerical Methods for Partial Differential Equations 32 (1), 307–349, 2016 | 36 | 2016 |
High-Order, Stable, And Efficient Pseudospectral Method Using Barycentric Gegenbauer Quadratures KT Elgindy Applied Numerical Mathematics 113, 1-25, 2016 | 25 | 2016 |
High-Order Shifted Gegenbauer Integral Pseudo-Spectral Method for Solving Differential Equations of Lane-Emden Type KT Elgindy, HM Refat Applied Numerical Mathematics 128, 98-124, 2018 | 24 | 2018 |
Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method KT Elgindy, KA Smith-Miles Journal of Computational and Applied Mathematics 251, 93-116, 2013 | 22 | 2013 |
Generation of higher order pseudospectral integration matrices KT Elgindy Applied Mathematics and Computation 209 (2), 153-161, 2009 | 22 | 2009 |
High-order numerical solution of viscous Burgers' equation using a Cole-Hopf barycentric Gegenbauer integral pseudospectral method KT Elgindy, SA Dahy Mathematical Methods in the Applied Sciences 41 (16), 6226-6251, 2018 | 16 | 2018 |
Optimal Control of a Parabolic Distributed Parameter System Using a Fully Exponentially Convergent Barycentric Shifted Gegenbauer Integral Pseudospectral Method KT Elgindy Journal of Industrial and Management Optimization 14 (2), 473-496, 2018 | 14* | 2018 |
Gegenbauer collocation integration methods: Advances in computational optimal control theory K ELGINDY Bulletin of the Australian Mathematical Society 89 (01), 168--170, 2014 | 13 | 2014 |
Gegenbauer Collocation Integration Methods: Advances in Computational Optimal Control Theory K Elgindy Monash University, 2013 | 13 | 2013 |
High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems KT Elgindy Optimization 66 (5), 811-836, 2017 | 12* | 2017 |
High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burger's equation KT Elgindy, B Karasozen International Journal of Computer Mathematics, 1-44, 2018 | 10 | 2018 |
Solving optimal control problems using a Gegenbauer transcription method KT Elgindy, KA Smith-Miles, B Miller proceedings of 2012 Australian Control Conference, AUCC, 15-16, 2012 | 10 | 2012 |
High-order numerical solution of viscous Burgers' equation using an extended Cole-Hopf barycentric Gegenbauer integral pseudospectral method SA Dahy, KT Elgindy International Journal of Computer Mathematics 99 (3), 446-464, 2022 | 9 | 2022 |
A high-order embedded domain method combining a predictor-corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving … KT Elgindy Journal of Computational and Applied Mathematics 361, 372-395, 2019 | 9 | 2019 |
New Optimal Periodic Control Policy for the Optimal Periodic Performance of a Chemostat Using a Fourier-Gegenbauer-Based Predictor-Corrector Method KT Elgindy Journal of Process Control 127, 102995, 2023 | 8 | 2023 |
A new robust line search technique based on Chebyshev polynomials KT Elgindy, AR Hedar Applied Mathematics and Computation 206 (2), 853-866, 2008 | 8 | 2008 |
Distributed optimal control of viscous Burgers’ equation via a high-order, linearization, integral, nodal discontinuous Gegenbauer-Galerkin method KT Elgindy, B Karasozen Optimal Control, Applications and Methods 41 (1), 253-277, 2020 | 7 | 2020 |
Optimization via Chebyshev Polynomials KT Elgindy Journal of Applied Mathematics and Computing 56 (1-2), 317–349, 2018 | 6 | 2018 |