منابع مشابه
A Sinc Function Analogue of Chebfun
Chebfun is an established software system for computing with functions of a real variable, but its capabilities for handling functions with singularities are limited. Here an analogous system is described based on sinc function expansions instead of Chebyshev series. This experiment sheds light on the strengths and weaknesses of sinc function techniques. It also serves as a review of some of th...
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The DE-Sinc formulas, resulting from a combination of the Sinc approximation formula with the double exponential (DE) transformation, provide a highly efficient method for function approximation. In many cases they are more efficient than the SE-Sinc formulas, which are the Sinc approximation formulas combined with the single exponential (SE) transformations. Function classes suited to the SE-S...
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The functionalities of the chebfun and chebop systems are surveyed. The chebfun system is a collection of Matlab codes to manipulate functions in a manner that resambles symbolic computing. The operations, however, are performed numerically using polynomial representations. Chebops are built with the aid of chebfuns to represent linear operators and allow chebfun solutions of differential equat...
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A lower bound on the sinc function is given. Application for the sequence {b(n)}(n=1)(∞) which related to Carleman inequality is given as well.
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ژورنال
عنوان ژورنال: SIAM Journal on Scientific Computing
سال: 2011
ISSN: 1064-8275,1095-7197
DOI: 10.1137/110825947