Zobrazeno 1 - 10 of 20 pro vyhledávání: '"David B. Hunter"'
3
A quadrature formula of Clenshaw–Curtis type for the Gegenbauer weight-function
Autor: H. V. Smith, David B. Hunter
Publikováno v: Journal of Computational and Applied Mathematics. 177(2):389-400
We investigate a method for the numerical evaluation of integrals over [-1,1] of functions of the form (1-x2)λ-1/2f(x), based on approximating f(x) by a finite Chebyshev expansion. Error bounds are obtained, and the method is illustrated by an examp
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::646d5aa50cd634afab33df9f6ccbf232
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5
On the error term of symmetric Gauss-Lobatto quadrature formulae for analytic functions
Autor: David B. Hunter, Geno Nikolov
Publikováno v: Mathematics of Computation. 69:269-283
Gauss-Lobatto quadrature formulae associated with symmetric weight functions are considered. The kernel of the remainder term for classes of analytic functions is investigated on elliptical contours. Sufficient conditions are found ensuring that the
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::3d8c5c5bb6343ed6377ff41a257ed460
https://doi.org/10.1090/s0025-5718-99-01078-9
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6
Gaussian quadrature of Chebyshev polynomials
Autor: David B. Hunter, Geno Nikolov
Publikováno v: Journal of Computational and Applied Mathematics. 94:123-131
We investigate the behaviour of the maximum error in applying Gaussian quadrature to the Chebyshev polynomials T m . This quantity has applications in determining error bounds for Gaussian quadrature of analytic functions.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb658f9b78bb2ab1e14a0df81adde9ca
https://doi.org/10.1016/s0377-0427(98)00074-0
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