On Implicitly Linear and Iterated Collocation Methods for Hammerstein Integral Equations

Recently, Kumar and Sloan introduced and analyzed a new collocation-type method (which in the following will be referred to as implicitly linear collocation) for the numerical solution of Hammerstein integral equations. In the present paper we discuss the connection between implicitly linear collocation and iterated spline collocation. The results are then extended to a class of nonlinear Volterra-Fredholm integral equations.