Results 11 to 20 of about 79,817 (224)

Chebyshev Polynomials and Spectral Method for Optimal Control Problem [PDF]

open access: yesEngineering and Technology Journal, 2009
This paper presents efficient algorithms which are based on applying the idea of spectral method using the Chebyshev polynomials: including Chebyshev polynomials of the first kind, Chebyshev polynomials of the second kind and shifted Chebyshev ...
Suha Najeeb Shihab, Jabbar Abed Eleiwy
doaj   +1 more source

The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2021
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi   +3 more
doaj   +1 more source

SIMULACIÓN DE UN SISTEMA DE TRANSMISIÓN DE DATOS

open access: yesIngeniería, 2011
En este trabajo se presenta una simulación por "software" de un sistema digital de transmisión de datos utilizando la herramienta llamada  LabView  ® para Windows ®, versión 5.0, de National Instruments. El sistema modela un generador binario de pulsos (
Arturo Ramírez Porras
doaj   +1 more source

An approximation method for the solution of nonlinear integral equations [PDF]

open access: yes, 2006
A Chebyshev collocation method has been presented to solve nonlinear integral equations in terms of Chebyshev polynomials. This method transforms the integral equation to a matrix equation which corresponds to a system of nonlinear algebraic equations ...
Akyuz-Dascioglu, A, Yaslan, HC
core   +3 more sources

Chebyshev Constant and Chebyshev Points [PDF]

open access: yesTransactions of the American Mathematical Society, 1973
Using Ath power means in the case X ? 1, it is proven that the Chebyshev constant for any compact set in R5, real Euclidean n-space, is equal to the radius of the spanning sphere. When A ? 1, the Chebyshev points of order m for all m ? 1 are unique and coincide with the center of the spanning sphere. For the case A = 1, it is established that Chebyshev
openaire   +1 more source

Chebyshev model arithmetic for factorable functions [PDF]

open access: yes, 2016
This article presents an arithmetic for the computation of Chebyshev models for factorable functions and an analysis of their convergence properties. Similar to Taylor models, Chebyshev models consist of a pair of a multivariate polynomial approximating ...
Chachuat, B   +3 more
core   +3 more sources

Dynamic multi‐objective optimisation of complex networks based on evolutionary computation

open access: yesIET Networks, EarlyView., 2022
Abstract As the problems concerning the number of information to be optimised is increasing, the optimisation level is getting higher, the target information is more diversified, and the algorithms are becoming more complex; the traditional algorithms such as particle swarm and differential evolution are far from being able to deal with this situation ...
Linfeng Huang
wiley   +1 more source

ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES

open access: yesForum of Mathematics, Pi, 2020
A meander is a topological configuration of a line and a simple closed curve in the plane (or a pair of simple closed curves on the 2-sphere) intersecting transversally. Meanders can be traced back to H.
VINCENT DELECROIX   +3 more
doaj   +1 more source

A fast, simple, and stable Chebyshev-Legendre transform using an asymptotic formula [PDF]

open access: yes, 2013
A fast, simple, and numerically stable transform for converting between Legendre and Chebyshev coefficients of a degree $N$ polynomial in $O(N(\log N)^{2}/ \log \log N)$ operations is derived.
Hale, Nicholas, Townsend, Alex
core   +1 more source

Valuing American Put Options Using Chebyshev Polynomial Approximation [PDF]

open access: yes, 2005
This paper suggests a simple valuation method based on Chebyshev approximation at Chebyshev nodes to value American put options. It is similar to the approach taken in Sullivan (2000), where the option`s continuation region function is estimated by using
Caporale, GM, Cerrato, M
core   +2 more sources

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