In this paper we investigate some Nystr?m methods for Fredholm integral
equations in the interval [0, 1]. We give an overview of the order of
convergence, which depends on the smoothness of the involved functions. In
particular, we consider the Nystr?m methods based on the so called
Generalized Bernstein quadrature rule, on a Romberg scheme and on the
so-called IMT rule. We prove that the proposed methods are convergent, stable
and well conditioned. Also, we give several numerical tests for comparing
these three methods.
Nyström methods for Fredholm integral equations using equispaced points