SU\G(𝔸)/K·U

Kareem T. Elgindy

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All published works
Action Title Year Authors
+ PDF Chat The Numerical Approximation of Caputo Fractional Derivative of Higher Orders Using A Shifted Gegenbauer Pseudospectral Method: Two-Point Boundary Value Problems of the Bagley Torvik Type Case Study 2025 Kareem T. Elgindy
+ PDF Chat Fourier-Gegenbauer Integral-Galerkin Method for Solving the Advection-Diffusion Equation With Periodic Boundary Conditions 2025 Kareem T. Elgindy
+ Numerical solution of nonlinear periodic optimal control problems using a Fourier integral pseudospectral method 2024 Kareem T. Elgindy
+ PDF Chat Fourier–Gegenbauer pseudospectral method for solving periodic fractional optimal control problems 2024 Kareem T. Elgindy
+ PDF Chat Fourier–Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems 2024 Kareem T. Elgindy
+ PDF Chat Direct integral pseudospectral and integral spectral methods for solving a class of infinite horizon optimal output feedback control problems using rational and exponential Gegenbauer polynomials 2023 Kareem T. Elgindy
Hareth M. Refat
+ PDF Chat Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions 2023 Kareem T. Elgindy
+ PDF Chat New optimal periodic control policy for the optimal periodic performance of a chemostat using a Fourier–Gegenbauer-based predictor-corrector method 2023 Kareem T. Elgindy
+ Optimal Periodic Control of Unmanned Aerial Vehicles Based on Fourier Integral Pseudospectral and Edge-Detection Methods 2023 Kareem T. Elgindy
+ Fourier-Gegenbauer Pseudospectral Method for Solving Periodic Fractional Optimal Control Problems 2023 Kareem T. Elgindy
+ Fourier-Gegenbauer Pseudospectral Method for Solving Time-Dependent One-Dimensional Fractional Partial Differential Equations with Variable Coefficients and Periodic Solutions 2023 Kareem T. Elgindy
+ Fourier-Gegenbauer Pseudospectral Method for Solving Periodic Higher-Order Fractional Optimal Control Problems 2023 Kareem T. Elgindy
+ Direct Integral Pseudospectral and Integral Spectral Methods for Solving a Class of Infinite Horizon Optimal Output Feedback Control Problems Using Rational and Exponential Gegenbauer Polynomials 2023 Kareem T. Elgindy
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 2022 Kareem T. Elgindy
Hareth M. Refat
+ New Optimal Periodic Control Policy for the Optimal Periodic Performance of a Chemostat Using a Fourier-Gegenbauer-Based Predictor-Corrector Method 2022 Kareem T. Elgindy
+ A Direct Integral Pseudospectral Method for Solving a Class of Infinite-Horizon Optimal Control Problems Using Gegenbauer Polynomials and Certain Parametric Maps 2022 Kareem T. Elgindy
Hareth M. Refat
+ Numerical Solution of Nonlinear Periodic Optimal Control Problems Using a Fourier Integral Pseudospectral Method 2022 Kareem T. Elgindy
+ High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method 2021 Sayed A. Dahy
Kareem T. Elgindy
+ High-order Gegenbauer integral spectral element method integrated with an adaptive Chebyshev optimization strategy for solving linear singularly perturbed differential equations 2020 Kareem T. Elgindy
Hareth M. Refat
+ Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method 2019 Kareem T. Elgindy
Bülent Karasözen
+ A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains 2019 Kareem T. Elgindy
+ High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation 2018 Kareem T. Elgindy
Bülent Karasözen
+ High‐order numerical solution of viscous Burgers' equation using a Cole‐Hopf barycentric Gegenbauer integral pseudospectral method 2018 Kareem T. Elgindy
Sayed A. Dahy
+ PDF Chat High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane–Emden type 2018 Kareem T. Elgindy
Hareth M. Refat
+ PDF Chat Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted gegenbauer integral pseudospectral method 2017 Kareem T. Elgindy
+ PDF Chat High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems 2017 Kareem T. Elgindy
+ High-Order Shifted Gegenbauer Integral Pseudospectral Method for Solving Differential Equations of Lane-Emden Type 2017 Kareem T. Elgindy
Hareth M. Refat
+ PDF Chat Optimization via Chebyshev polynomials 2017 Kareem T. Elgindy
+ PDF Chat High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures 2016 Kareem T. Elgindy
+ Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method 2016 Kareem T. Elgindy
+ Optimal Barycentric Gegenbauer Quadrature 2016 Kareem T. Elgindy
+ PDF Chat High‐order numerical solution of second‐order one‐dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method 2015 Kareem T. Elgindy
+ High-Order Numerical Solution of Second-Order One-Dimensional Hyperbolic Telegraph Equation Using a Shifted Gegenbauer Pseudospectral Method 2015 Kareem T. Elgindy
+ PDF Chat GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY 2014 Kareem T. Elgindy
+ On the optimization of Gegenbauer operational matrix of integration 2012 Kareem T. Elgindy
Kate Smith‐Miles
+ Solving optimal control problems using a gegenbauer transcription method 2012 Kareem T. Elgindy
Kate Smith‐Miles
Boris Miller
+ Optimal Gegenbauer quadrature over arbitrary integration nodes 2012 Kareem T. Elgindy
Kate Smith‐Miles
+ Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices 2012 Kareem T. Elgindy
Kate Smith‐Miles
+ Generation of higher order pseudospectral integration matrices 2008 Kareem T. Elgindy
+ A new robust line search technique based on Chebyshev polynomials 2008 Kareem T. Elgindy
Abdel-Rahman Hedar
Common Coauthors
Coauthor Papers Together
Hareth M. Refat 7
Kate Smith‐Miles 4
Sayed A. Dahy 2
Bülent Karasözen 2
Abdel-Rahman Hedar 1
Boris Miller 1
Commonly Cited References
Action Title Year Authors # of times referenced
+ Optimal Gegenbauer quadrature over arbitrary integration nodes 2012 Kareem T. Elgindy
Kate Smith‐Miles
 25
+ PDF Chat High‐order numerical solution of second‐order one‐dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method 2015 Kareem T. Elgindy
 17
+ Solving boundary value problems, integral, and integro-differential equations using Gegenbauer integration matrices 2012 Kareem T. Elgindy
Kate Smith‐Miles
 16
+ PDF Chat High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures 2016 Kareem T. Elgindy
 14
+ Spectral Integration and Two-Point Boundary Value Problems 1991 Leslie Greengard
 13
+ PDF Chat GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY 2014 Kareem T. Elgindy
 12
+ PDF Chat Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted gegenbauer integral pseudospectral method 2017 Kareem T. Elgindy
 11
+ PDF Chat Chebyshev Solution of Differential, Integral and Integro-Differential Equations 1969 S.E. El-Gendi
 11
+ Generation of higher order pseudospectral integration matrices 2008 Kareem T. Elgindy
 10
+ Spectral Methods for Time-Dependent Problems 2007 Jan S. Hesthaven
Sigal Gottlieb
David Gottlieb
 10
+ PDF Chat High-order shifted Gegenbauer integral pseudo-spectral method for solving differential equations of Lane–Emden type 2018 Kareem T. Elgindy
Hareth M. Refat
 10
+ PDF Chat High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems 2017 Kareem T. Elgindy
 10
+ A Practical Guide to Pseudospectral Methods 1996 Bengt Fornberg
 9
+ An accurate solution of parabolic equations by expansion in ultraspherical polynomials 1990 E. H. Doha
 9
+ A Preconditioning Matrix for the Chebyshev Differencing Operator 1987 Daniele Funaro
 8
+ Solving optimal control problems using a gegenbauer transcription method 2012 Kareem T. Elgindy
Kate Smith‐Miles
Boris Miller
 8
+ Automatic spectral collocation for integral, integro-differential, and integrally reformulated differential equations 2010 Tobin A. Driscoll
 8
+ A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains 2019 Kareem T. Elgindy
 7
+ Integration Preconditioning Matrix for Ultraspherical Pseudospectral Operators 2006 Elsayed M. E. Elbarbary
 7
+ Handbook of Mathematical Functions 1966 Donald A. McQuarrie
 7
+ A method for numerical integration on an automatic computer 1960 C. W. Clenshaw
A. R. Curtis
 7
+ Implementing Spectral Methods for Partial Differential Equations : Algorithms for Scientists and Engineers 2009 David A. Kopriva
 7
+ A spectral collocation method based on integrated Chebyshev polynomials for two-dimensional biharmonic boundary-value problems 2006 N. Mai‐Duy
R. I. Tanner
 6
+ Boundary Layer Resolving Pseudospectral Methods for Singular Perturbation Problems 1996 Tao Tang
Manfred R. Trummer
 6
+ High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation 2018 Kareem T. Elgindy
Bülent Karasözen
 6
+ Numerical Analysis of Spectral Methods 1977 David Gottlieb
Steven A. Orszag
 6
+ PDF Chat An efficient spectral method for ordinary differential equations with rational function coefficients 1996 Evangelos A. Coutsias
Thomas Hagstrom
David Torres
 6
+ The Chebyshev polynomials 1974 T. J. Rivlin
 6
+ High‐order numerical solution of viscous Burgers' equation using a Cole‐Hopf barycentric Gegenbauer integral pseudospectral method 2018 Kareem T. Elgindy
Sayed A. Dahy
 6
+ An Instability Phenomenon in Spectral Methods 1987 Lloyd N. Trefethen
Manfred R. Trummer
 5
+ PDF Chat Integration Preconditioning of Pseudospectral Operators. I. Basic Linear Operators 1998 Jan S. Hesthaven
 5
+ PDF Chat New optimal periodic control policy for the optimal periodic performance of a chemostat using a Fourier–Gegenbauer-based predictor-corrector method 2023 Kareem T. Elgindy
 5
+ A new robust line search technique based on Chebyshev polynomials 2008 Kareem T. Elgindy
Abdel-Rahman Hedar
 5
+ Computing with Expansions in Gegenbauer Polynomials 2009 Jens Keiner
 5
+ Implementing Spectral Methods for Partial Differential Equations 2009 David A. Kopriva
 4
+ Spectral integration of linear boundary value problems 2015 Divakar Viswanath
 4
+ Spectral methods and their applications 1998 Pen-yü Kuo
 4
+ On the Gibbs Phenomenon IV: Recovering Exponential Accuracy in a Subinterval from a Gegenbauer Partial Sum of a Piecewise Analytic Function 1995 David Gottlieb
Chi‐Wang Shu
 4
+ PDF Chat Optimization via Chebyshev polynomials 2017 Kareem T. Elgindy
 4
+ PDF Chat Numerical approximations using Chebyshev polynomial expansions: El-gendi's method revisited 2002 Bogdan Mihaila
Ioana Mihaila
 4
+ PDF Chat Orthogonal Polynomials 1971 4
+ A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps 2022 Kareem T. Elgindy
Hareth M. Refat
 4
+ Pseudospectral Methods for Infinite-Horizon Nonlinear Optimal Control Problems 2008 Fariba Fahroo
I. Michael Ross
 4
+ An optimal ultraspherical approximation of integrals 2000 Hassan ElHawary
M.S. Salim
Hussien S. Hussien
 4
+ Efficient and stable generation of higher-order pseudospectral integration matrices 2015 Xiaojun Tang
 4
+ PDF Chat A MATLAB differentiation matrix suite 2000 J. A. C. Weideman
S C Reddy
 4
+ The Chebyshev Polynomials 2002 4
+ PDF Chat A Fast and Well-Conditioned Spectral Method 2013 Sheehan Olver
Alex Townsend
 4
+ Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables 1965 D. B. Owen
Milton Abramowitz
Irene A. Stegun
 4
+ Accurate solution of the Orr–Sommerfeld stability equation 1971 Steven A. Orszag
 4