Advances in Mathematical Methods and High Performance Computing
This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathemati
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Vinai K. Singh David Gao Andreas Fischer Editors
Advances in Mathematical Methods and High Performance Computing
Advances in Mechanics and Mathematics Volume 41
Series Editors David Gao, Federation University Australia Tudor Ratiu, Shanghai Jiao Tong University Advisory Board Antony Bloch, University of Michigan John Gough, Aberystwyth University Darryl D. Holm, Imperial College London Peter Olver, University of Minnesota Juan-Pablo Ortega, University of St. Gallen Genevieve Raugel, CNRS and University Paris-Sud Jan Philip Solovej, University of Copenhagen Michael Zgurovsky, Igor Sikorsky Kyiv Polytechnic Institute Jun Zhang, University of Michigan Enrique Zuazua, Universidad Autónoma de Madrid and DeustoTech
More information about this series at http://www.springer.com/series/5613
Vinai K. Singh • David Gao • Andreas Fischer Editors
Advances in Mathematical Methods and High Performance Computing
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Editors Vinai K. Singh Department of Applied Science and Humanities Inderprastha Engineering College Ghaziabad, Uttar Pradesh, India
David Gao School of Science and Technology Federation University Australia Mt. Helen, VIC, Australia
Andreas Fischer Institute of Numerical Mathematics Technische Universit¨at Dresden Dresden, Germany
ISSN 1571-8689 ISSN 1876-9896 (electronic) Advances in Mechanics and Mathematics ISBN 978-3-030-02486-4 ISBN 978-3-030-02487-1 (eBook) https://doi.org/10.1007/978-3-030-02487-1 Library of Congress Control Number: 2018967453 © 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 Springer imprint is published by the registered company Springer Nature Switzerland AG. The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
Preface
Mathematics and Computer Science stimulate and inspire each other since the formation of the latter in the last century. Mathematical think
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