Numerical approximation of 2D Fredholm integral eigenvalue problems by orthogonal wavelets

DOI10.1016/J.AMC.2015.01.083zbMath1410.65514OpenAlexW2038061381MaRDI QIDQ669744

Juarez S. Azevedo, Saulo Pomponet Oliveira

Publication date: 15 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.083

zbMATH Keywords

numerical integrationorthogonal waveletsFredholm integral of second kind

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Eigenvalue problems for integral equations (45C05) Numerical methods for integral equations, integral transforms (65R99)

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical methods for the discretization of random fields by means of the Karhunen-Loève expansion
• An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations
• Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields
• Wavelets on the interval and fast wavelet transforms
• Wavelet Galerkin methods for second-kind integral equations
• An efficient, high-order perturbation approach for flow in random porous media via Karhunen-Loève and polynomial expansions.
• Wavelet approximation methods for pseudodifferential equations. II: Matrix compression and fast solution
• Solution of second kind integral equation with Cauchy type kernel using Daubechies scale function
• Spectral element approximation of Fredholm integral eigenvalue problems
• Solving second kind Fredholm integral equations by periodic wavelet Galerkin method
• Karhunen-Loève approximation of random fields by generalized fast multipole methods
• Some Remarks on Quadrature Formulas for Refinable Functions and Wavelets
• Fast wavelet transforms and numerical algorithms I
• Ten Lectures on Wavelets
• Quadrature Formulae and Asymptotic Error Expansions for Wavelet Approximations of Smooth Functions
• Accurate calculation of prolate spheroidal radial functions of the first kind and their first derivatives
• Using the Refinement Equation for Evaluating Integrals of Wavelets
• Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations
• Solving second kind integral equations by Galerkin methods with continuous orthogonal wavelets

This page was built for publication: Numerical approximation of 2D Fredholm integral eigenvalue problems by orthogonal wavelets