Gauss quadrature rules for Cauchy principal value integrals with wavelets

Hongwei Li; Kean Chen

doi:10.1016/j.amc.2006.07.106

Gauss quadrature rules for Cauchy principal value integrals with wavelets

Hongwei Li, Kean Chen

School of Marine Science and Technology

Northwestern Polytechnical University Xian

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

Gauss quadrature rules for Cauchy principal value integrals with wavelets are established. By the construction of orthogonal polynomials of wavelets and scaling functions as weight functions, the wavelet Gauss quadrature formulae for Cauchy principal value integrals are introduced. Numerical examples are also presented.

Original language	English
Pages (from-to)	357-364
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	186
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.07.106
State	Published - 1 Mar 2007

Keywords

Cauchy principal value integral
Gauss quadrature rules
Wavelets

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10.1016/j.amc.2006.07.106

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title = "Gauss quadrature rules for Cauchy principal value integrals with wavelets",

abstract = "Gauss quadrature rules for Cauchy principal value integrals with wavelets are established. By the construction of orthogonal polynomials of wavelets and scaling functions as weight functions, the wavelet Gauss quadrature formulae for Cauchy principal value integrals are introduced. Numerical examples are also presented.",

keywords = "Cauchy principal value integral, Gauss quadrature rules, Wavelets",

author = "Hongwei Li and Kean Chen",

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AU - Chen, Kean

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AB - Gauss quadrature rules for Cauchy principal value integrals with wavelets are established. By the construction of orthogonal polynomials of wavelets and scaling functions as weight functions, the wavelet Gauss quadrature formulae for Cauchy principal value integrals are introduced. Numerical examples are also presented.

KW - Cauchy principal value integral

KW - Gauss quadrature rules

KW - Wavelets

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M3 - 文章

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SN - 0096-3003

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JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Gauss quadrature rules for Cauchy principal value integrals with wavelets

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Keywords

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