Bessel wavelets and the Galerkin analysis of the Bessel operator

DOI10.1006/jmaa.2001.7567zbMath1002.65084OpenAlexW2077032085MaRDI QIDQ5949589

Shangqian Zhang, Michael Frazier

Publication date: 20 December 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2001.7567

zbMATH Keywords

waveletsGalerkin methodHankel transformBessel functionBessel equationcondition numbersdiagonal preconditionerssparse system

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Numerical methods for wavelets (65T60) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (4)

Modified hierarchy basis for solving singular boundary value problems ⋮ Galerkin analysis for Schrödinger equation by wavelets ⋮ On \(q\)-advanced spherical Bessel functions of the first kind and perturbations of the Haar wavelet ⋮ Orthonormal polynomial wavelets on the interval

Cites Work

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• A discrete transform and decompositions of distribution spaces
• On the characterization of the Friedrichs extension of ordinary or elliptic differential operators with a strongly singular potential
• Deficiency indices and singular boundary conditions in quantum mechanics
• Ten Lectures on Wavelets
• Wavelet Methods for Fast Resolution of Elliptic Problems
• Applications of analysis on nilpotent groups to partial differential equations

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