Integral Methods in Science and Engineering Analytic Treatment and N

This contributed volume contains a collection of articles on state-of-the-art developments on the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this book are based on

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Integral Methods in Science and Engineering Analytic Treatment and Numerical Approximations

Christian Constanda • Paul Harris Editors

Integral Methods in Science and Engineering Analytic Treatment and Numerical Approximations

Editors Christian Constanda Department of Mathematics The University of Tulsa Tulsa, OK, USA

Paul Harris Computing, Engineering, and Mathematics University of Brighton Brighton, UK

ISBN 978-3-030-16076-0 ISBN 978-3-030-16077-7 (eBook) https://doi.org/10.1007/978-3-030-16077-7 Mathematics Subject Classification: 45Exx, 45E10, 65R20, 45D05 © Springer Nature Switzerland AG 2019 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. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Preface

The international conferences on Integral Methods in Science and Engineering (IMSE) started in 1985 at the University of Texas–Arlington and, from 1996, continued biennially in a variety of venues around the world. These events bring together specialists who make use of integration techniques as essential tools in their research. These types of procedures are characterized by generality, elegance, and efficiency, which are essential ingredients in the work of a wide category of practitioners. The time and place of the first 14 IMSE conferences are listed below: 1985, 1990: 1993: 1996: 1998: 2000: 2002: 2004: 2006: 2008: 2010: 2012: 2014: 2016:

University of Texas–Arlington, USA Tohoku University, Sendai, Japan University of Oulu, Finland Michigan Technological University, Houghton, MI, USA Banff, AB, Canada (organized by the University of Alberta, Edmonton) University of Saint–Étienne, France University of Central Florida, Orlando, FL, USA Niagara Falls, ON, Canada (organized by the Univers