Currents in Industrial Mathematics From Concepts to Research to

Mathematics has many branches: there are the pure, the applied, and the applicable; the theoretical and the practical. There is mathematics for school, for college, and for industry. All these belong to the same family and are bound together by a "mathema

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Currents in Industrial Mathematics From Concepts to Research to Education

Currents in Industrial Mathematics

Helmut Neunzert r Dieter Prätzel-Wolters Editors

Currents in Industrial Mathematics From Concepts to Research to Education

Translated from German by William Uber

Editors Helmut Neunzert Fraunhofer Institute for Industrial Mathematics ITWM Kaiserslautern, Germany

Dieter Prätzel-Wolters Fraunhofer Institute for Industrial Mathematics ITWM Kaiserslautern, Germany

Translation of the German Edition: Mathematik im Fraunhofer-Institut. Problemgetrieben–Modellbezogen–Lösungsorientiert, published by Springer-Verlag GmbH 2014, © 2015. All rights reserved.

ISBN 978-3-662-48257-5 DOI 10.1007/978-3-662-48258-2

ISBN 978-3-662-48258-2 (eBook)

Library of Congress Control Number: 2015953325 Mathematics Subject Classification (2010): 00-02, 00A07, 00A35, 00A69, 01A74, 00A71, 34-XX, 35-XX, 60Gxx, 62-07, 93-XX, 76-XX, 91Gxx, 97-XX Springer Heidelberg New York Dordrecht London © Springer-Verlag Berlin Heidelberg 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Editorial: Annika Denkert and Clemens Heine Translator: William Uber Cover photo: G. Ermel, Fraunhofer ITWM Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)

Foreword

The employees of a mathematical Fraunhofer Institute spend a great deal of their time discussing problems with industrial clients and then solving these problems with the help of mathematics and computers. The periods of reflection occasionally made possible by public projects and self-financed preliminary research are normally used to build the mathematical foundation necessary for finding our clients’ solutions. Taking a step back to critically examine one’s own activities and then to precisely and understandably articulate them requires great inspiration and an enormous commitment of time. Nonetheless, 18 employees and 5 other mathematicians closely connected to the Institute have ventured to report