Iterated Kantorovich versus Kulkarni method for Fredholm integral equations

Abstract

From all standard projection approximations of a bounded linear operator in a Banach space, iterated Kantorovich and Kulkarni’s discretization exhibit a global superconvergent error bound. In this work we compare these discretizations, focusing on the implementation details and the computational cost, when applied to a Fredholm integral equation of the second kind with weakly singular kernel.