Foreword
This publication by Springer Verlag represents the proceedings of a series
of lectures given by four eminent Numerical Analysts, namely Professors G-olub,
Thomee, Wachspress and Widlund, at the University of Dundee between September
15th and September 23rd, 1970.
The lectures marked the beginning of the British Science Besearch Council's
sponsored Numerical Analysis Year which is being held at the University of Dundee
from September 1970 to August 1971- The aim of this year is to promote the theory
of numerical methods and in particular to upgrade the study of Numerical Analysis
in British universities and technical colleges. This is being effected by the
arranging of lecture courses and seminars which are being held in Dundee
throughout the Year. In addition to lecture courses research conferences are being
held to allow workers in touch with modern developments in the field of Numerical
Analysis to hear and discuss the most recent research work in their field. To
achieve these aims, some thirty four Numerical Analysts of international repute
are visiting the University of Dundee during the Numerical Analysis Year. The
complete project is financed by the Science Research Council, and we acknowledge
with gratitude their generous support. The present proceedings, contain a great
deal of theoretical work which has been developed over recent years. There are
however new results contained within the notes. In particular the lectures
presented by Professor &olub represent results recently obtained by him and his
coworkers. Consequently a detailed account of the methods outlined in Professor
Golub's lectures will appear in a forthcoming issue of the Journal of the Society
for Industrial and Applied Mathematics (SIAM) Numerical Analysis, published
jointly by &olub, Buzbee and Nielson.