Numerical Analysis Lancaster 1984 Proceedings of the SERC Summer Sch
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		    1129 Numerical Analysis Lancaster 1984 Proceedings of the SERe Summer School held in Lancaster, England, Jul. 15 - Aug. 3,1984
 
 Edited by P. R. Turner
 
 Springer-Verlag Berlin Heidelberg New York Tokyo
 
 Editor
 
 Peter R. Turner Department of Mathematics, University of Lancaster Bailrigg, Lancaster LA1 4YL, England
 
 Mathematics Subject Classification (1980): 35J 25,41 A50, 41 A63, 41 A65, 65N15,65N30 ISBN 3-540-15234-2 Springer-Verlag Berlin Heidelberg New York Tokyo ISBN 0-387-15234-2 Springer-Verlag New York Heidelberg Berlin Tokyo This work is subject to copyright. All rights are reserved, whether the whole or part ofthe 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 1985 Printed in Germany Printing and binding: Beltz Offsetdruck, Hemsbach 1Bergstr. 2146/3140-543210
 
 PREFACE THE S.E.R.C. NUMERICAL ANALYSIS SUMMER SCHOOL University of Lancaster 15th July - 3rd August, 1984 The aims of this second Numerical Analysis Summer School were much the same as for the inaugural event in 1981 - LNM 965 describes the proceedings of the first one - although the organizational structure was altered. was essentially self-contained.
 
 Each week of this conference
 
 During each week there was provision for intensive
 
 study, which could broaden participant.s' research interests or deepen their understanding of t.opics with which they already had some familiarity, and for cont.inuing individual research in the stimulating environment created by the gathering toget.her of several experts of international renown. This volume contains lect.ure Hates for most of the main courses of lectures given at the meeting.
 
 Each week there was one ten-lecture course, a relat.ed course
 
 of five lect.ures and a programme of research seminars given by furt.her invited speakers or other participants.
 
 The one week for which lecture notes are not
 
 included is that on Multigrid Methods.
 
 The courses in that week were based on
 
 material which has appeared in W. Hackbusch and U. Trottenberg Ceds) Mult.igrid Met.hods, LNM 960, Springer-Verlag, Heidelberg, 1984. the papers of Hackbusch and Brandt are included here.
 
 Det.ailed list.s of content.s of Brandt's ext.ensive "Mult.igrid
 
 Guide" is updated annually and is available as a GMD monograph. Present.ed here then is an account of the proceedings of a very successful and well-att.ended second meeting in what it is hoped will become a regular series of Numerical Analysis Summer Schools at Lancaster. Acknowledgement.s The first and most important acknowledgement is to the Science and Engineering Research Council who sponsored the meeting very generously.
 
 Their contribution
 
 covered all t.he organizational and running costs, the full expenses of t.he invited experts and t.he accommoda		
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