Results 11 to 20 of about 45,618 (222)

Chebyshev polynomial solutions of systems of linear integral equations

open access: yesApplied Mathematics and Computation, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ayşegül Akyüz-Daşcıoğlu
openaire   +8 more sources

Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations

open access: yesJournal of Applied Mathematics, 2020
In this paper, a collocation method using sinc functions and Chebyshev wavelet method is implemented to solve linear systems of Volterra integro-differential equations.
Ahmad Issa   +2 more
doaj   +1 more source

Numerical Methods for Solving Linear Time Varying Quadratic Optimal Control Problems

open access: yesResults in Control and Optimization, 2022
In this article, we discussed linear time varying optimal control problems with quadratic performance index, and approximated control variable, state variable and performance index. There are many different numerical processes for approximating of linear
Adane Akate Ayalew
doaj   +1 more source

$BKW$-Operators for Chebyshev Systems

open access: yesTokyo Journal of Mathematics, 1999
Let \(I=[0,1]\subset\mathbb{R}\) be the closed unit interval and let \(C(I,\mathbb{R})\) be the Banach space of all real valued continuous functions on \(I\). For \(f\in C(I,\mathbb{R})\) let \(\|f\|_0= \sup\{|f(t) |:t\in I\}\). A bounded linear operator \(T\) on \(C(I,\mathbb{R})\) is called a BKW-operator for the Chebyshev system \(S_k=\{1,t,\dots,t ...
ISHII, Takashi, IZUCHI, Keiji
openaire   +2 more sources

Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs

open access: yesAin Shams Engineering Journal, 2015
This article contributes a numerical scheme for finding approximate solutions of one-dimensional parabolic partial differential equations (PDEs) under non-classical boundary conditions. This scheme is based on the direct Chebyshev collocation method that
Emran Tohidi
doaj   +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

Interval Uncertainty Quantification for the Dynamics of Multibody Systems Combing Bivariate Chebyshev Polynomials with Local Mean Decomposition

open access: yesMathematics, 2022
Interval quantification for multibody systems can provide an accurate dynamic prediction and a robust reliability design. In order to achieve a robust numerical model, multiple interval uncertain parameters should be considered in the uncertainty ...
Xin Jiang, Zhengfeng Bai
doaj   +1 more source

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

On extended Chebyshev systems with positive accuracy

open access: yesJournal of Mathematical Analysis and Applications, 2017
Agraïments: The first author is supported by a FAPESP-BRAZIL grant 2013/16492-0. The second author is supported by UNAB13-4E-1604 grant. A classical necessary condition for an ordered set of n+1 functions F to be an ECT-system in a closed interval is that all the Wronskians do not vanish.
Douglas D. Novaes, Joan Torregrosa
openaire   +5 more sources

Convergence of spectral methods for hyperbolic initial-boundary value systems [PDF]

open access: yes, 1987
A convergence proof for spectral approximations is presented for hyperbolic systems with initial and boundary conditions. The Chebyshev collocation is treated in detail, but the final result is readily applicable to other spectral methods, such as ...
Gottlieb, D., Lustman, L., Tadmor, E.
core   +2 more sources

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