Gauss quadrature rules for Cauchy principal value integrals with wavelets

DOI10.1016/j.amc.2006.07.106zbMath1114.65029OpenAlexW2151750748MaRDI QIDQ878951

Kean Chen, Hong-Wei Li

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.07.106

zbMATH Keywords

numerical examplesscaling functions

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (2)

A note on one-point quadrature formula for Daubechies scale function with partial support ⋮ Gauss-type quadrature rule with complex nodes and weights for integrals involving Daubechies scale functions and wavelets

Cites Work

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• The numerical evaluation of one-dimensional Cauchy principal value integrals
• Asymptotic error expansion of wavelet approximations of smooth functions. II
• Gauss quadrature for refineable weight functions
• Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
• Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
• On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions

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