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Industrial mathematics is evolving into an important branch of mathematics. Mathematicians, in Italy in particular, are becoming increasingly aware of this new trend and are engaged in bridging the gap between highly specialized mathematical research and the emerging demand for innovation from industry. In this respect, the contributions in this volume provide both R&D workers in industry with a general view of existing skills, and academics with state-of-the-art applications of mathematics to real-world problems, which may also be incorporated in advanced courses.
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APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY This page intentionally left blank Series on Advances in Mathematics for Applied Sciences - Vol. 69 APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY Proceedings of the 7th Conference Venice, Italy 20 - 24 September 2004 Edited by Mario Primicerio Universita di Firenze, Italy Renato Spigler Universita di Roma 3, Italy Vanda Valente IAC-CNR, Roma, Italy K World Scientific N E W JERSEY * LONDON * SINGAPORE * BElJlNG SHANGHAI HONG KONG - TAIPEI ’ CHENNAI Published by World Scientific Publishing Co. Re. Ltd. 5 Toh Tuck Link, Singapore 596224 USA ofice: 27 Warren Street, Suite 401-402, Hackensack, NJ 07601 VK ofice: 57 Shelton Street, Covent Garden, London WC2H 9HE British Library Cataloguing-in-Publication Data A catalogue record for this book is available from the British Library. APPLIED AND INDUSTRIAL MATHEMATICS IN ITALY Vol. 69 Series on Advances in Mathematics for Applied Sciences - Copyright 0 2005 by World Scientific Publishing Co. Re. Ltd. All rights reserved. This book, or parts thereoJ may not be reproduced in any form or by any means, electronic or mechanical, including photocopying, recording or any information storage and retrieval system now known or to be invented, without written permission from the Publisher. For photocopyingof material in this volume, please pay acopying fee through the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, USA. In this case permission to photocopy is not required from the publisher. ISBN 981-256-368-7 Printed in Singapore by World Scientific Printers (S)Pte Ltd V PREFACE In this volume we present 52 papers, which proviL3 an overview of the research activity currently being pursued in Italy in the field of Applied and Industrial Mathematics, intended in the broadest sense. In fact a variety of areas is covered, as well as a large number of applications to engineering, finance, material science, environment, biology, etc. From the point of view of the mathematical content, the papers range from rigorous and formal analytical results to computational techniques, from modeling to engineering-oriented simulations. All such contributions were solicited, refereed, and finally selected, to give an account of the state-of-the-art of the research work currently conducted in these fields in Italy. This has been done in the framework of the activities of the Italian Society for Applied and Industrial Mathematics (SIMAI), intended to promote and stimulate research in applied mathematics and its interaction with the area of industrial production. These articles have been selected from a larger number of submitted papers by the ScientificCommittee of SIMAI, consisting of Ubaldo Barberis, Enrico De Bernardis, Franc0 Brezzi, Giorgio Fotia, Luigia Puccio, and of the Editors of this book. We wish to thank all of them as well as the referees who have been involved in the selection procedure. Special thanks are also due to Paolo Rughetti who assisted us in preparing the lay-out of the volume. The Editors Roma, February 15th, 2005