Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations

Abstract

A class of vector-space bases is introduced for the sparse representation of discretiza-tions of integral operators. An operator with a smooth, nonoscillatory kernel possessing a finite number of singularities in each row or column is represented in these bases as a sparse matrix, to high precision. A method is presented that employs these bases for the… (More)
DOI: 10.1137/0914010

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