Quadrature integration for orthogonal wavelet systems
نویسندگان
چکیده
منابع مشابه
Orthogonal Polynomials and Quadrature
Various concepts of orthogonality on the real line are reviewed that arise in connection with quadrature rules. Orthogonality relative to a positive measure and Gauss-type quadrature rules are classical. More recent types of orthogonality include orthogonality relative to a sign-variable measure, which arises in connection with Gauss-Kronrod quadrature, and power (or implicit) orthogonality enc...
متن کاملOptimal quadrature for Haar wavelet spaces
This article considers the error of the scrambled equidistribution quadrature rules in the worst-case, random-case, and average-case settings. The underlying space of integrands is a Hilbert space of multidimensional Haar wavelet series, Hwav . The asymptotic orders of the errors are derived for the case of the scrambled (λ, t,m, s)-nets and (t, s)-sequences. These rules are shown to have the b...
متن کاملQuadrature prefilters for the discrete wavelet transform
Discrepancies between the Discrete Wavelet Transform and the coefficients of the Wavelet Series are known to be reducible by initialization of input data. Prefilters based on Lagrange interpolants are derived here for biorthogonal compact support wavelet systems, providing exact subspace projection in cases of local polynomial smoothness. The resulting convergence acceleration in a non-polynomi...
متن کاملApplication of CAS wavelet to construct quadrature rules for numerical integration
In this paper, based on CAS wavelets we present quadrature rules for numerical solution of double and triple integrals with variable limits of integration. To construct new method, first, we approximate the unknown function by CAS wavelets. Then by using suitable collocation points, we obtain the CAS wavelet coefficients that these coefficients are applied in approximating the unk...
متن کاملShift-orthogonal wavelet bases
Shift-orthogonal wavelets are a new type of multiresolution wavelet bases that are orthogonal with respect to translation (or shifts) within one level but not with respect to dilations across scales. In this paper, we characterize these wavelets and investigate their main properties by considering two general construction methods. In the first approach, we start by specifying the analysis and s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: The Journal of Chemical Physics
سال: 1999
ISSN: 0021-9606,1089-7690
DOI: 10.1063/1.478741