Theoretical Numerical Analysis A Functional Analysis Framework
This textbook prepares graduate students for research in numerical analysis/computational mathematics by giving to them a mathematical framework embedded in functional analysis and focused on numerical analysis. This helps the student to move rapidly into
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Theoretical Numerical Analysis A Functional Analysis Framework Third Edition
13
Texts in Applied Mathematics
39
Editors
J.E. Marsden L. Sirovich S.S. Antman Advisors
G. Iooss P. Holmes D. Barkley M. Dellnitz P. Newton
For other volumes published in this series, go to www.springer.com/series/1214
Kendall Atkinson
•
Weimin Han
Theoretical Numerical Analysis A Functional Analysis Framework Third Edition
ABC
Kendall Atkinson
Weimin Han
Departments of Mathematics & Computer Science University of Iowa Iowa City, IA 52242 USA [email protected]
Department of Mathematics University of Iowa Iowa City, IA 52242 USA [email protected]
Series Editors J.E. Marsden
L. Sirovich
Control and Dynamical Systems 107-81 California Institute of Technology Pasadena, CA 91125 USA [email protected]
Laboratory of Applied Mathematics Department of Biomathematics Mt. Sinai School of Medicine Box 1012 New York, NY 10029-6574 USA [email protected]
S.S. Antman Department of Mathematics and Institute for Physical Science and Technology University of Maryland College Park, MD 20742-4015 USA [email protected]
ISSN 0939-2475 ISBN 978-1-4419-0457-7 e-ISBN 978-1-4419-0458-4 DOI 10.1007/978-1-4419-0458-4 Springer Dordrecht Heidelberg London New York Library of Congress Control Number: 2009926473 Mathematics Subject Classification (2000): 65-01, 65-XX c Springer Science+Business Media, LLC 2009 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Dedicated to Daisy and Clyde Atkinson Hazel and Wray Fleming and Daqing Han, Suzhen Qin Huidi Tang, Elizabeth and Michael
Series Preface
Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM ). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied math
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