Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
@article{Bultheel2009QuadratureFO,
title={Quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity},
author={Adhemar Bultheel and Leyla Daruis and Pablo Gonz{\'a}lez-Vera},
journal={J. Comput. Appl. Math.},
year={2009},
volume={231},
pages={948-963}
}
14 Citations
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On Gausstype Gausstype Gausstype quadrature formulas with prescribed nodes anywhere on the real line
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In this paper, quadrature formulas on the real line with the highest degree of accuracy, with positive weights, and with one or two prescribed nodes anywhere on the interval of integration are…
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Orthogonality, interpolation and quadratures on the unit circle and the interval [-1, 1]
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- 2010
On the computation of symmetric Szeg˝o-type quadrature formulas
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- 2010
By z = ei and x = cos , one may relate x ∈ I = (−1, 1], with ∈ (−, ]
and a point z on the complex unit circle T. Hence there is a connection between
the integrals of 2-periodic functions,…
On the computation of the Fourier transform under the presence of nearby polar singularities
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- 2011
In this paper we present a procedure for the computation of integrals on the whole real line with nearby singularities. The method is based in collecting the possible singularities of the integrand…
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