Gauss quadrature rules for partial support and logarithmic singular integrals with compactly supported wavelets

DOI10.1016/j.amc.2005.11.122zbMath1103.65031OpenAlexW2044694751MaRDI QIDQ849765

Duo Zhang, Jinyou Xiao, Li-Hua Wen

Publication date: 31 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.122

zbMATH Keywords

numerical experimentslogarithmic singularityscaling functionsinner productswavelet moments

Mathematics Subject Classification ID

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

Related Items (3)

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 ⋮ A wavelet‐integration‐free periodic wavelet Galerkin BEM for 2D potential problems

Cites Work

• Unnamed Item
• Unnamed Item
• Matrices and quadrature rules for wavelets
• Asymptotic error expansion of wavelet approximations of smooth functions. II
• Fully discrete wavelet Galerkin schemes.
• An implementation of fast wavelet Galerkin methods for integral equations of the second kind
• Gauss quadrature for refineable weight functions
• Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
• Orthonormal bases of compactly supported wavelets
• 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
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets

This page was built for publication: Gauss quadrature rules for partial support and logarithmic singular integrals with compactly supported wavelets