Computing Qualitatively Correct Approximations of Balance Laws Expon
Substantial effort has been drawn for years onto the development of (possibly high-order) numerical techniques for the scalar homogeneous conservation law, an equation which is strongly dissipative in L1 thanks to shock wave formation. Such a dissipation
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Laurent Gosse
Computing Qualitatively Correct Approximations of Balance Laws Exponential-Fit, Well-Balanced and Asymptotic-Preserving
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To Sonia for all her love and her patience
SIMAI Springer Series Series Editors: Nicola Bellomo • Luca Formaggia (Editors-in-Chief) Wolfgang Bangerth • Fabio Nobile • Lorenzo Pareschi • Pablo Pedregal Tercero • Andrea Tosin • Jorge P. Zubelli Volume 2
Laurent Gosse
Computing Qualitatively Correct Approximations of Balance Laws Exponential-Fit, Well-Balanced and Asymptotic-Preserving
Laurent Gosse Istituto per le Applicazioni del Calcolo “Mauro Picone” CNR Rome, Italy
ISSN: 2280-840X ISSN: 2280-8418 (electronic) SIMAI Springer Series ISBN 978-88-470-2891-3 ISBN 978-88-470-2892-0 (eBook) DOI 10.1007/978-88-470-2892-0 Springer Milan Heidelberg New York Dordrecht London Library of Congress Control Number: 2012951183 Springer-Verlag Italia 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.
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Preface
I don’t see any problem with the math, but this is not a dissertation in eco
