Walter Gautschi, Volume 3 Selected Works with Commentaries
Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pionee
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Claude Brezinski Ahmed Sameh Editors
Walter Gautschi Selected Works with Commentaries Volume 3
Contemporary Mathematicians Joseph P.S. Kung University of North Texas, USA Editor
For further volumes: http://www.springer.com/series/4817
Claude Brezinski
•
Ahmed Sameh
Editors
Walter Gautschi, Volume 3 Selected Works with Commentaries
Editors Claude Brezinski U.F.R. de Math´ematiques Universit´e des Sciences et Technologies de Lille Villeneuve d’Ascq, France
Ahmed Sameh Department of Computer Science Purdue University West Lafayette, IN, USA
ISBN 978-1-4614-7131-8 ISBN 978-1-4614-7132-5 (eBook) DOI 10.1007/978-1-4614-7132-5 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2013949491 Mathematics Subject Classification (2010): 01Axx, 65Dxx, 65Lxx, 65Qxx, 65Yxx © Springer Science+Business Media New York 2014 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. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. 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. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.birkhauser-science.com)
Walter Gautschi, 2009 hiking in the Swiss alps
Contents
List of Contributors ................................................................................................
xi
Part I Commentaries 21 Linear Recurrence Relations ...................................................................... Lisa Lorentzen
3
22 Ordinary Differential Equations .........
