Uncertainty Quantification An Accelerated Course with Advanced Appli
This book presents the fundamental notions and advanced mathematical tools in the stochastic modeling of uncertainties and their quantification for large-scale computational models in sciences and engineering. In particular, it focuses in parametric uncer
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Christian Soize
Uncertainty Quantification An Accelerated Course with Advanced Applications in Computational Engineering
Uncertainty Quantification
Interdisciplinary Applied Mathematics Volume 47 Editors S.S. Antman, University of Maryland, College Park, MD, USA [email protected] L. Greengard, New York University, New York, NY, USA [email protected] P.J. Holmes, Princeton University, Princeton, NJ, USA [email protected]
Advisors L. Glass, McGill University, Montreal, QB, Canada A. Goriely, University of Oxford, Oxford, UK R. Kohn, New York University, New York, USA P.S. Krishnaprasad, University of Maryland, College Park, MD, USA J.D. Murray, University of Oxford, Oxford, UK C. Peskin, New York University, New York, USA S.S. Sastry, University of California, Berkeley, CA, USA J. Sneyd, University of Auckland, Auckland, New Zealand
More information about this series at http://www.springer.com/series/1390
Christian Soize
Uncertainty Quantification An Accelerated Course with Advanced Applications in Computational Engineering
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Christian Soize Laboratoire Mod´elisation et Simulation Multi-Echelle (MSME) Universit´e Paris-Est Marne-la-Vall´ee (UPEM) Marne-la-Vall´ee, France
ISSN 0939-6047 ISSN 2196-9973 (electronic) Interdisciplinary Applied Mathematics ISBN 978-3-319-54338-3 ISBN 978-3-319-54339-0 (eBook) DOI 10.1007/978-3-319-54339-0 Library of Congress Control Number: 2017937717 Mathematics Subject Classification (2010): 15B52, 35Q62, 35Q74, 35R30, 35R60, 37N15, 47H40, 60G60, 60H25, 60J22, 62B10, 62C10, 62F15 © Springer International Publishing AG 2017 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Foreword
In nu
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