Symbolic and Numerical Scientific Computation Second International C
This book constitutes the thoroughly refereed post-proceedings of the Second International Conference on Symbolic and Numerical Scientific Computation, SNSC 2001, held in Hagenberg, Austria, in September 2001. The 19 revised full papers presented w
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Franz Winkler Ulrich Langer (Eds.)
Symbolic and Numerical Scientific Computation Second International Conference, SNSC 2001 Hagenberg, Austria, September 12-14, 2001 Revised Papers
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Series Editors Gerhard Goos, Karlsruhe University, Germany Juris Hartmanis, Cornell University, NY, USA Jan van Leeuwen, Utrecht University, The Netherlands Volume Editors Franz Winkler Johannes Kepler University Linz RISC-Linz Altenberger Str. 69, 4040 Linz, Austria E-mail: [email protected] Ulrich Langer Johannes Kepler University Linz Institute of Computational Mathematics Altenberger Str. 69, 4040 Linz, Austria E-mail: [email protected] Cataloging-in-Publication Data applied for A catalog record for this book is available from the Library of Congress. Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at .
CR Subject Classification (1998): G.1, I.1, J.2, F.2, G.2, I.3.5 ISSN 0302-9743 ISBN 3-540-40554-2 Springer-Verlag Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer-Verlag Berlin Heidelberg New York a member of BertelsmannSpringer Science+Business Media GmbH http://www.springer.de © Springer-Verlag Berlin Heidelberg 2003 Printed in Germany Typesetting: Camera-ready by author, data conversion by Steingräber Satztechnik GmbH, Heidelberg Printed on acid-free paper SPIN: 10873065 06/3142 543210
Preface
Scientific computation has a long history, dating back to the astronomical tables of the Babylonians, the geometrical achievements of the Egyptians, the calendars of the Mayans, and the number theory of the ancient Chinese. The success of these activities led in many parts of the world to the development of mathematical theories trying to explain the surprising applicability of pure thought to physical phenomena. Probably the most important such development took place in ancient Greece, where mathematics, as we know it today, was created. Just as practical advances in scientific computation have stimulated the development of theory, so also new theoretical breakthroughs have led to whole new ways of mathematizing science. A prominent example is the development of calculus by Newton and Leibnitz and its application in all areas of science. Mathematical theory, however, became more and more abstract and removed
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