Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
From MaRDI portal
Publication:4307042
DOI10.1137/0731065zbMath0822.65013OpenAlexW2000430190MaRDI QIDQ4307042
Publication date: 15 October 1995
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/1b8a9e3a6816c1024535e10a733729c13ba7c97e
Chebyshev polynomialsquadrature formulaesmooth functionsasymptotic error expansionswavelet approximations
Algorithms for approximation of functions (65D15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Approximation by other special function classes (41A30) Eigenvalue problems for integral equations (45C05)
Related Items
Solving linear integro-differential equation with Legendre wavelets, MURPHY---A Scalable Multiresolution Framework for Scientific Computing on 3D Block-Structured Collocated Grids, Solving second kind Fredholm integral equations by periodic wavelet Galerkin method, Higher-order wavelet reconstruction/differentiation filters and Gibbs phenomena, REGION-OF-INTEREST TOMOGRAPHY USING A COMPOSITE FOURIER-WAVELET ALGORITHM, A periodic wavelet method for the second kind of the logarithmic integral equation, Gauss quadrature rules for partial support and logarithmic singular integrals with compactly supported wavelets, Numerical solution of linear integro-differential equation by using sine-cosine wavelets, Computational methods for integrals involving functions and Daubechies wavelets, Daubechies wavelets on intervals with application to BVPs., Quadrature formulas based on the scaling function., On wavelets and prewavelets with vanishing moments in higher dimensions, High accuracy reconstruction from wavelet coefficients, Regular compactly supported wavelets in Sobolev spaces, A fast adaptive wavelet collocation algorithm for multidimensional PDEs, The regularization B-spline wavelet method for the inverse boundary problem of the Laplace equation from noisy data in an irregular domain, Gauss quadrature rules for Cauchy principal value integrals with wavelets, On the generalized wavelet-Galerkin method, High-frequency asymptotic compression of dense BEM matrices for general geometries without ray tracing, Approximation of functions of Hőlder class and solution of ODE and PDE by extended Haar wavelet operational matrix, A note on one-point quadrature formula for Daubechies scale function with partial support, Direct and inverse computation of Jacobi matrices of infinite iterated function systems, A novel homotopy-wavelet approach for solving stream function-vorticity formulation of Navier-Stokes equations, An efficient implementation of boundary element methods for computationally expensive Green's functions, Unnamed Item, Unnamed Item, Gauss-type quadrature rule with complex nodes and weights for integrals involving Daubechies scale functions and wavelets, Numerical approximation of 2D Fredholm integral eigenvalue problems by orthogonal wavelets, An adaptive wavelet-vaguelette algorithm for the solution of PDEs, Quasi-positive delta sequences and their applications in wavelet approximation, Besov regularization, thresholding and wavelets for smoothing data, Wavelet approximation of functions belonging to generalized Lipschitz class by extended Haar wavelet series and its application in the solution of Bessel differential equation using Haar operational matrix, A HAM-based wavelet approach for nonlinear ordinary differential equations, Portraits of Frames, Approximation properties of wavelets and relations among scaling moments. II, Orthogonal polynomials and Gaussian quadrature for refinable weight functions, Solving linear integro-differential equation system by Galerkin methods with hybrid functions, Solving second kind integral equations with hybrid Fourier and block-pulse functions, Fast solvers of integral equations of the second kind: wavelet methods, Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets, Composite quadrature formulae for the approximation of wavelet coefficients of piecewise smooth and singular functions, A wavelet‐integration‐free periodic wavelet Galerkin BEM for 2D potential problems, Numerical solution of linear Fredholm integral equations using sine–cosine wavelets, An efficient numerical quadrature for the calculation of the potential energy of wavefunctions expressed in the Daubechies wavelet basis, Computation of quadrature rules for integration with respect to refinable functions on assigned nodes, Wavelet simultaneous approximation from samples affected by noise, Direct method for solving integro differential equations using hybrid Fourier and block-pulse functions, An evaluation of Clenshaw-Curtis quadrature rule for integration w.r.t. singular measures, Compactly supported wavelets based on almost interpolating and nearly linear phase filters (Coiflets), An Improved One Point Quadrature Formula, Wavelet approximation of a function using Chebyshev wavelets, Unnamed Item, One point quadrature rule with cardinal B-spline, Approximation error for quasi-interpolators and (multi-)wavelet expansions, Gauss quadrature for refineable weight functions, A TVD type wavelet-Galerkin method for Hamilton-Jacobi equations, Orthogonal polynomials for refinable linear functionals, Galerkin meshfree methods: a review and mathematical implementation aspects, Non-equispaced B-spline wavelets, Scaling functions and wavelets with vanishing moments