424 citations
- Brandenburg University of Technology Cottbus-SenftenbergDE134 papers
- Istituto Nazionale di Fisica Nucleare, Laboratori Nazionali di FrascatiIT134 papers
- Brown UniversityUS132 papers
- Centre National de la Recherche ScientifiqueFR132 papers
- Deutsches Elektronen-Synchrotron DESYDE132 papers
- Eötvös Loránd UniversityHU132 papers
- European Organization for Nuclear ResearchCH132 papers
- Fermi National Accelerator LaboratoryUS132 papers
- Ghent University HospitalBE132 papers
- HUN-REN Wigner Research Centre for PhysicsHU132 papers
- Ibero American UniversityMX132 papers
- Isfahan University of TechnologyIR132 papers
6 papers · 1 filter
Non-interacting two-impurity Anderson model on a lattice at particle-hole symmetry
Zakaria M. M. Mahmoud, Jörg Bünemann, Florian Gebhard
We study the non-interacting two-impurity Anderson model on a lattice using the Green function equation-of-motion method. A case of particular interest is the RKKY limit that is ch…
High-Order Adaptive Gegenbauer Integral Spectral Element Method for Solving Nonlinear Optimal Control Problems
Kareem T. Elgindy
In this work, we propose an adaptive spectral element algorithm for solving nonlinear optimal control problems. The method employs orthogonal collocation at the shifted Gegenbauer-…
Analytical Solution to the Fractional Polytropic Gas Spheres
Mohamed I. Nouh, Emad A-B. Abdel-Salam
Lane-Emden equation could be used to model stellar interiors, star clusters and many configurations in astrophysics. Unfortunately, there is an exact solution only for the polytrop…
Optimal Control of a Parabolic Distributed Parameter System Using a Barycentric Shifted Gegenbauer Pseudospectral Method
Kareem T. Elgindy
In this paper, we introduce a novel pseudospectral method for the numerical solution of optimal control problems governed by a parabolic distributed parameter system. The infinite-…
High-Order, Stable, And Efficient Pseudospectral Method Using Barycentric Gegenbauer Quadratures
Kareem T. Elgindy
The work reported in this article presents a high-order, stable, and efficient Gegenbauer pseudospectral method to solve numerically a wide variety of mathematical models. The prop…
Optimization via Chebyshev Polynomials
Kareem T. Elgindy
This paper presents for the first time a robust exact line-search method based on a full pseudospectral (PS) numerical scheme employing orthogonal polynomials. The proposed method…