This textbook has grown out of a course which we teach periodically at the University of
Iowa. We have beginning graduate students in mathematics who wish to work in numerical …

This book is essentially a set of lecture notes from a graduate seminar given at Cornell in
Spring 1994. It treats basic mathematical theory for superconvergence in the context of …

This is an account of the history of numerical analysis of partial differential equations,
starting with the 1928 paper of Courant, Friedrichs, and Lewy, and proceeding with the …

A survey is given of numerical methods for calculating fixed points of nonlinear integral
operators. The emphasis is on general methods, ones that are applicable to a wide variety of …

Consider the nonlinear operator equation x=K(x) with K a completely continuous map** of
a domain in the Banach space X into X and let x^* denote an isolated fixed point of K. Let …

Continuous time collocation methods for Volterra-Fredholm integral equations Page 1 Numer.
Math. 56, 409-424 (1989) Numerische MathemalJk 9 1989 Continuous Time Collocation …

The collocation method for solving linear and nonlinear integral equations results in many
integrals which must be evaluated numerically. In this paper, we give a general framework …

In this paper, we apply spline quasi-interpolating operators on a bounded interval to solve
numerically linear Fredholm integral equations of second kind by using superconvergent …

In this paper, the well-known iterated Galerkin method and iterated Galerkin–Kantorovich
regularization method for approximating the solution of Fredholm integral equations of the …

Nowadays the most popular numerical methods for solving elliptic boundary value problems
are finite differences, finite elements and, more recentlv, boundary element methods. The …