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A splitting Chebyshev collocation method for Schrödinger–Poisson system

Computational and Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hanquan Wang, Zhenguo Liang, Ronghua Liu
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Solution of a Scaled System via Chebyshev Polynomials

Journal of the Franklin Institute, 1984
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Non-standard finite difference and Chebyshev collocation methods for solving fractional diffusion equation

Physica A: Statistical Mechanics and its Applications, 2018
In this paper, a new numerical technique for solving the fractional order diffusion equation is introduced. This technique basically depends on the Non-Standard finite difference method (NSFD) and Chebyshev collocation method, where the fractional ...
P. Agarwal, A. A. El-Sayed
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Chebyshev based continuous time power system operation approach

2015 IEEE Power & Energy Society General Meeting, 2015
There is a growing interest to increase temporal resolution in power system optimization models in order to improve representation of intermittent renewable generation and thus capture more variability and costs. This increase in temporal resolution, however, presents important modeling challenges since the optimization problem complexity grows with ...
Marcelo Matus   +3 more
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Free vibration of FG-CNT reinforced composite skew cylindrical shells using the Chebyshev-Ritz formulation

Composites Part B: Engineering, 2018
In the present research, the free vibration characteristics of a skew cylindrical panel made of functionally graded carbon nanotube reinforced composites (FG-CNTRCs) is investigated.
Y. Kiani   +2 more
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Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion

Chaos, Solitons & Fractals, 2019
This paper is concerned with a computational approach based on the Chebyshev cardinal wavelets for a novel class of nonlinear stochastic differential equations characterized by the presence of variable-order fractional Brownian motion. More precisely, in
M. Heydari, Z. Avazzadeh, M. Mahmoudi
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Chebyshev Polynomial Broad Learning System

2021 8th International Conference on Information, Cybernetics, and Computational Social Systems (ICCSS), 2021
Shuang Feng   +2 more
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Self-Concordant Barriers for Cones Generated by Chebyshev Systems

SIAM Journal on Optimization, 2002
Summary: We explicitly calculate characteristic functions of cones of generalized polynomials corresponding to Chebyshev systems on intervals of the real line and the circle. Thus, in principle, we calculate homogeneous self-concordant barriers for this class of cones.
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Chebyshev economization in Poincaré–Dulac transformations of nonlinear systems

Nonlinear Analysis: Theory, Methods & Applications, 2005
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Chebyshev series approach to linear systems sensitivity analysis

Journal of the Franklin Institute, 1987
A simplified method is proposed for the determination of sensitivity functions of linear time-invariant systems. This method, based on the idea of using Chebyshev polynomials, is also extended in the case of linear systems with time-varying variations. The approach is approximate, straightforward and computationally simple.
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