Results 11 to 20 of about 45,618 (222)
Chebyshev polynomial solutions of systems of linear integral equations
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Ayşegül Akyüz-Daşcıoğlu
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Approximation Techniques for Solving Linear Systems of Volterra Integro-Differential Equations
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
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Numerical Methods for Solving Linear Time Varying Quadratic Optimal Control Problems
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
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$BKW$-Operators for Chebyshev Systems
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
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Application of Chebyshev collocation method for solving two classes of non-classical parabolic PDEs
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
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Valuing American Put Options Using Chebyshev Polynomial Approximation [PDF]
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
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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
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Dynamic multi‐objective optimisation of complex networks based on evolutionary computation
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
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On extended Chebyshev systems with positive accuracy
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
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Convergence of spectral methods for hyperbolic initial-boundary value systems [PDF]
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.
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