Numerical Analysis of Multiscale Computations Proceedings of a Winte
This book is a snapshot of current research in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models conta
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Bjo¨ rn Engquist Yen-Hsi R. Tsai
Olof Runborg
Editors
Numerical Analysis of Multiscale Computations Proceedings of a Winter Workshop at the Banff International Research Station 2009
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Editors Bj¨orn Engquist Yen-Hsi R. Tsai The University of Texas at Austin Department of Mathematics Institute for Computational Engineering and Sciences University Station C 1200 1 78712-0257 Austin, Texas USA [email protected] [email protected]
Olof Runborg Royal Institute of Technology (KTH) Dept. of Numerical Analysis, CSC Lindstedtsv¨agen 3 100 44 Stockholm Sweden [email protected]
ISSN 1439-7358 ISBN 978-3-642-21942-9 e-ISBN 978-3-642-21943-6 DOI 10.1007/978-3-642-21943-6 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2011938020 Mathematics Subject Classification (2010): 65Cxx, 65P99, 65Zxx, 35B27, 65R20, 70Hxx, 70Kxx, 70-08, 74-XX, 76S05, 76Txx c Springer-Verlag Berlin Heidelberg 2012 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, reuse of illustrations, recitation, broadcasting, reproduction on microfilm 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. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover photo: By courtesy of Jon H¨aggblad Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface
The recent rapid progress in multiscale computations has been facilitated by modern computer processing capability and encouraged by the urgent need to accurately model multiscale processes in many applications. For further progress, a better understanding of numerical multiscale computations is necessary. This understanding must be based on both theoretical analysis of the algorithms and specific features of the different applications. We are pleased to present 16 papers in these proceedings of the workshop on Numerical Analysis and Multiscale Computations at the Banff International Research Station for Mathematical Innovation and Discovery, December 6–11, 2009. The papers represent the majority of the presentations and discussions that took place at the workshop. The goal of the workshop was to bring together researchers in numerical analysis and applied mathematics with those focusing on different applications of computational science. Another goal was to summarize recent achievements and to explore research directions for the future. W
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