Analytical and Numerical Approaches to Asymptotic Problems in Analysis, Proceedings ofthe Conference on Analytical and Numerical Approachesto Asymptotic Problems

399 Pages·1981·17.28 MB·English

by  O. Axelsson

ANALYTICAL AND NUMERICAL APPROACHES
TO ASYMPTOTIC PROBLEMS IN ANALYSIS
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NORTH-HOLLAND
MATHEMATICS STUDIES 47
Analytical and Numerical Approaches
to Asymptotic Problems in Analysis
Proceedings ofthe Conference on
Analytical and Numerical Approachesto Asymptotic Problems
Universityof Nijmegen,The Netherlands, June 9-13,1980
Edited b y
0.A XELSSON
L. S. FRANK
Mathematicallnstitute
The University of Nqmegen
The Netherlands
and
A. VAN DER SLUE
Mathematical institute
The University of Utrecht
The Netherlands
NORTH-HOLLAND PUBLISHING COMPANY - AMSTERDAM NEW YORK OXFORD
North-Holland Publishing Company, I980
All rights rrscwerl. No purt of rhispublicurioti mu,v he, rrprvducecl. siori>cli n N retrievtrlsy.stett~.
or trunsmirtrd, in uny form or by uny nwuns, c+c~trotiic, mc~chanicdp.h otocopying. rcw)rtling
or othrrwisc.. without the prior pertnissioti of the, copvrighr owtwr.
ISBN: 0 444 86131 9
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Library of Congress Cataloging in Publication Data
Conference on Analytical and Numerical Approaches to
Asymptotic Problems, University of Nijmegen, 1980.
Analytical and numerical approaches to asymptotic
problems in analysis.
(North-Holland mathematics studies ; 47)
1. Differential equations--Asymptotic theory--
Congresses. 2. Differential equations--Numerical
solutions-Congresses. I. kcelsson, Axel, 1934--
11. Frank, Leonid S., 1934- 111. Sluis, Abraham
van der. IV. Title.
&A370.C63 1980 515.3'5' 80-26580
ISBN 0-444-86131-9
PRINTED IN THE NETHERLANDS
PREFACE
An International Conference on Analytical and Numerical Approaches to Asymptotic
Problems was held in the Faculty of Science, University of Nijmegen, The Netherlaads
from June 9th through June 13th, 1980
The development of the analytical asymptotic theory has been essentially stimulated
by needs of applied sciences such as fluid dynamics, diffraction theory, reaction-
diffusion processes, elasticity theory, quantum mechanics and so on. On the other
hand, pure aesthetics have also been a strong attraction for mathematicians and
theoretical physicists in the elaboration of this beautiful mathematical tool. The
introduction of numerical methods during the last decades became a new turning point
in the further development of asymptotic analysis.
The main motivation in organizing this Conference was the idea to bring together
people working in asymptotic theory and to try to survey achievements in this field
of applied mathematics, due to the combination and synthesis of analytical and
numerical approaches.
The attendance at the Conference and discussions during and after its sessions were
an explicit indication of a growing interest amongst mathematicians, numerical
analysts and theoretical physicists for new aspects and methods in asymptotic
analysis.
The Proceedings of the Conference contain the full text of 17 invited addresses and
11 contributed papers.
We are grateful to the participants, especially to the speakers who were instrumental
in making this meeting a fruitful and enjoyable scientific event. We are also most
indebted to the Administration of the Faculty of Science, University of Nijmegen,
whose support was an indispensable contribution to the success of this Conference.
0. AXELSSON
L.S. FRANK
A. VAN DER SLUIS
Editors
V
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ACKNOWLEDGEMENTS
The Conference on ANALYTICAL AND NUMERICAL APPROACHES TO ASYMPTOTIC PROBLEMS IN
ANALYSIS was sponsored by the University of Nijmegen, the Dutch Ministry of
Education, the Dutch Mathematical Society, the International Business Machines
Corporation, the Office of the Naval Research (London), and the United States Army
Research and Development Group (Europe).
We are deeply indebted to all sponsors for their support of this Conference.
THE ORGANIZING COMMITTEE
vii
INTERNATIONAL CONFERENCE ON ANALYTICAL AND NUMERICAL APPROACHES TO ASYMPTOTIC PROBLEMS IN ANALYSIS
JUNE 9-13, 1980, FACULTY OF SCIENCE, UNIVERSITY OF NIJMEGEN, THE NETHERLANDS
Photograph taken of some of the participants before an excursion
CONTRIBUTORS
B. Aulbach, Mathematical Institute, The University of Wiirzburg, Germany
0. Axelsson, Mathematical Institute, The University of Nijmegen, The Netherlands
M. Bertsch, The Mathematical Centre, Amsterdam, The Netherlands
D. Caillerie, Laboratoire de mCcanique theorique, Universite Pierre et Marie Curie,
Paris, France
S. Dobrokhotov, Institute of Machinebuiding, Moscow, USSR
J.J. Duistermaat, Mathematical Institute, The University of Utrecht, The Netherlands
P.C. Fife, Department of Mathematics, The University of Arizona, Tucson, U.S.A.
L.S. Frank, Mathematical Institute, The University of Nijmegen, The Netherlands
R. Geel, Ubbo Emmius Institute, Groningen, The Netherlands
D.F. Griffiths, Department of Mathematics, University of Dundee, Scotland
E.W.C. van Groesen, Mathematical Institute, The University of Nijmegen, The Nether-
lands
I. Gustafsson, Mathematical Institute, The University of Nijmegen, The Netherlands
F.C. Hoppensteadt, Department of Mathematics, University of Utah, Salt Lake, U.S.A.
D. Huet, U.E.R. de Mathematiques, Universite de Nancy I, France
A. Iserlies, Department of Applied Mathematics, University of Cambridge, England
E.M. de Jager, Mathematical Institute, The University of Amsterdam, The Netherlands
C. Johnson, Chalmers Institute of Technology, GGteborg, Sweden
Ya. Kannai, The Weizmann Institute of Science, Rehovot, Israel
R.B. Kellogg, Department of Mathematics, The University of Maryland, College Park,
U.S.A.
J. Lorentz, Mathematical Institute, The University of Konstanz, Germany
V.P. Maslov, Institute of Machinebuilding, Moscow, USSR
R.M.M. Mattheij, Mathematical Institute, The University of Nijmegen, The Netherlands
A. Meiring, Department of Mathematics, University of Dundee, Scotland
A.R. Mitchell, Department of Mathematics, University of Dundee, Scotland
S. Osher, Department of Mathematics, The University of California, Los Angeles,
U.S.A.
J.P. Pauwelussen, The Mathematical Centre, Amsterdam, The Netherlands
L.A. Peletier, Mathematical Institute, The University of Leiden, The Netherlands
H.4. Reinhardt, Mathematical Institute, The J.W. Goethe University, Frankfurt,
Germany
M. Schatzman, Universite Pierre et Marie Curie, Paris, France
K. Soni, Mathematics Department, The University of Tennessee, Knoxville, U.S.A.
R.P. Soni, Mathematics Department, The University of Tennessee, Knoxville, U.S.A.
M. Tabata, Kyoto University, Japan and Universit6 Pierre et Marie Curie, Paris,
France
M.E. Taylor, Department of Mathematics, The Rice University, Houston, U.S.A.
R. Temam, Laboratoire d'Analyse Numerique, Universite Paris-Sud, Orsay, France
ix