Numerical Analysis Proceedings of the 10th Biennial Conference held

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1066

Numerical Analysis Proceedings of the 10th Biennial Conference held at Dundee, Scotland, June 28-July 1,1983

Edited by David F. Griffiths

Springer-Verlag Berlin Heidelberg New York Tokyo 1984

Editor

David F. Griffiths Department of Mathematical Sciences, University of Dundee Dundee DDl 4HN. Scotland

AMS Subject Classification (1980): 65-06, 65DlO, 65F99, 65KlO, 65L05, 65M25, 65M99, 65N30, 65R20, 65S05 ISBN 3-540-13344-5 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-13344-5 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. Under § 54 of the German Copyright Law where copies are made for other than private use, a fee is payable to "Verwertungsgesellschaft Wort", Munich,

© by Springer-Verlag Berlin Heidelberg 1984 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Berqstr, 2146/3140-543210

Preface The Tenth Dundee Biennial Conference on Numerical Analysis, held at the University of Dundee, Scotland on the four days 28 June - 1 July, 1983, attracted over 200 participants from 25 countries.

The organizers were again fortunate in

gaining the services of 16 eminent numerical analysts covering a broad spectrum of the subject and it is their papers which appear in these notes.

Unfortunately

Professor Dupont's contribution was not available at the time of going to press. In addition to the invited talks, short contributions were solicited and 69 of these were presented at the conference in three parallel sessions.

A complete list

of these submitted papers, together with authors' addresses, is also given here. I would like to take this opportunity of thanking Professor Dr L Collatz who, as after dinner speaker, kept the audience great ly amused with anecdotes, some true, some with only a grain of truth and others apocryphal, concerning many well-known mathematicians.

It is also a pleasure to thank all the speakers, the session

chairmen and the members of the Mathematical Sciences Department of this University for their contributions and assistance with the successful outcome of this conference.

I am p.ar t i cu l a r Ly indebted to Mrs Dorothy Hargreaves for at tending to

the considerable task of typing the various documents associated with the conference and for coping so admirably with many of the organizational details. Financial support for this conference was obtained from the European Research Office of the United States Army.

Dundee, January 1984.

This support is gratefully acknowledged.

D F Griffiths

INVITED SPEAKERS R H Bartels:

Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1.

A Bjorck:

Department of Mathematics, Linkoping University, S-581 83 Linkoping, Sweden.

C de Boor:

Mathematics Research Center, University of Wisconsin-Madison