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

Abstract

We consider the numerical approximation of homogeneous Fredholm integral equa-tions 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.