Numerical Analysis Proceedings of the Biennial Conference Held at Du
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630 Numerical Analysis Proceedings of the Biennial Conference Held at Dundee, June 28-July 1, 1977
Edited by G.A. Watson
Springer-Verlag Berlin Heidelberg New York 1978
Editor G.AWatson University of Dundee Department of Mathematics Dundee, DDl 4HN/Scotland
AMS Subject Classifications (1970): 65-02, 65010, 65F05, 65F20, 65K05, 65L05, 65L 10, 65M99, 65 N30,65R05 ISBN 3-540-08538-6 Springer-Verlag Berlin Heidelberg New York ISBN 0-387-08538-6 Springer-Verlag New York Heidelberg Berlin 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 the publisher, the amount of the fee to be determined by agreement with the publisher. © by Springer-Verlag Berlin Heidelberg 1978 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach/Bergstr. 2141/3140-543210
Preface For the 4 days June 28 - July I, 1977, over 220 people attended the 7th Dundee Biennial Conference on Numerical Analysis at the University of Dundee, Scotland.
The technical program consisted of 16 invited papers, and 63 short
submitted papers, the contributed talks being given In 3 parallel sessions.
This
volume contains, in complete form, the papers given by the invited speakers, and a list of all other papers presented. I would like to take this opportunity of thanking the speakers, including the after dinner speaker at the conference dinner, Professor.D S Jones, all chairmen and participants for their contributions.
I would also like to thank the many
people in the Mathematics Department of this University who assisted in various ways with the preparation for, and running of, this conference.
In particular, the
considerable task of typing the various documents associated with the conference, and some of the typing in this volume has been done by Miss R Dudgeon; is gratefully acknowledged.
G A Watson
Dundee, September 1977.
this work
CONTENTS C T H BAKER: Runge-Kutta methods for Volterra integral equations of the second kind ••••••..••..•••....•.....••..••.••••..••..•.•... I BARRODALE:
14
Best approximation of complex-valued data ••••••••••••••••
D BOLEY and G H GOLUB: J S R CHISHOLM:
23
Inverse eigenvalue problems for band matrices .,
Multivariate approximants with branch points .•••..•••••.
L COLLATZ: The numerical treatment of some singular boundary value problems
32
.
41
M G COX: The incorporation of boundary conditions in spline approximation prob lerns ••••••.•.••.••.••••••••...••••.•.•••.••••••••.•.•••••
51
J DOUGLAS JR, T DUPONT and P PERCELL: A time-stepping method for Galerkin approximations for nonlinear parabolic equations •••••••..••
64
A GEORGE: An automatic one-way dissection algorithm for irregular finite element problems .•.•••••••.•.•..•.••....••••••..•...•••.••.
76
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