Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions

DOI10.1016/j.cam.2004.10.005zbMath1069.65152OpenAlexW2115970157WikidataQ117717476 ScholiaQ117717476MaRDI QIDQ1779422

Stefan Vandewalle, Daan Huybrechs

Publication date: 1 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.10.005

zbMATH Keywords

waveletsconvergencenumerical integrationnumerical examplesquadraturescaling functionsingular functions

Mathematics Subject Classification ID

Numerical methods for wavelets (65T60) Numerical quadrature and cubature formulas (65D32)

Related Items (7)

A two-dimensional wavelet-packet transform for matrix compression of integral equations with highly oscillatory kernel ⋮ An efficient implementation of boundary element methods for computationally expensive Green's functions ⋮ Gauss-type quadrature rule with complex nodes and weights for integrals involving Daubechies scale functions and wavelets ⋮ An efficient and reliable quadrature algorithm for integration with respect to binomial measures ⋮ Computation of quadrature rules for integration with respect to refinable functions on assigned nodes ⋮ An evaluation of Clenshaw-Curtis quadrature rule for integration w.r.t. singular measures ⋮ Orthogonal polynomials for refinable linear functionals

Cites Work

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• A note on wave number dependence of wavelet matrix compression for integral equations with oscillatory kernel
• Gauss quadrature for refineable weight functions
• Integral equations. Theory and numerical treatment
• Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
• Fast wavelet transforms and numerical algorithms I
• Orthonormal bases of compactly supported wavelets
• Biorthogonal bases of compactly supported wavelets
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
• Using the Refinement Equation for Evaluating Integrals of Wavelets

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