Space-Time Adaptive Multiresolution Techniques for Compressible Euler Equations
This paper considers space-time adaptive techniques for finite volume schemes with explicit time discretization. The purpose is to reduce memory and to speed-up computations by a multiresolution representation of the numerical solution on adaptive grids w
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arlos A. de Moura r Carlos S. Kubrusly Editors
The Courant– Friedrichs–Lewy (CFL) Condition 80 Years After Its Discovery
Editors Carlos A. de Moura Mathematics Institute Rio de Janeiro State University (UERJ) Rio de Janeiro, Brazil
Carlos S. Kubrusly Department of Electrical Engineering Catholic University of Rio de Janeiro Rio de Janeiro, Brazil
Additional material to this book can be downloaded from http://extras.springer.com ISBN 978-0-8176-8393-1 ISBN 978-0-8176-8394-8 (eBook) DOI 10.1007/978-0-8176-8394-8 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2012952407 Mathematics Subject Classification: 35-XX, 65-XX, 68-XX © Springer Science+Business Media New York 2013 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)
Foreword
Despite being largely disseminated nowadays, “impact factors” do not need to be quoted to assure the depth and importance—in so many areas of science and technology—of the article submitted in 1927 by Richard Courant, Kurt Friedrichs, and Hans Lewy to Mathematische Annalen and published therein the following year.1 The authors’ keen view of finite difference methods applied to approximate solutions of partial differential equations has provided the right hand hold to deal with numerical algorith
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