A wavelet Galerkin approximation of Fredholm integral eigenvalue problems with bidimensional Haar functions

Abstract

Resumo:We consider the numerical approximation of homogeneous Fredholm integral equations of second kind. We employ the wavelet Galerkin method with 2D Haar wavelets as shape functions. We thoroughly describe the derivation of the shape functions and present a preliminary numerical experiment illustrating the computation of eigenvalues for a particular covariance kernel.Palavras-chave: Fredholm integral equations, Galerkin method, 2D Haar wavelets