Recent Advances in Radial Basis Function Collocation Methods
This book surveys the latest advances in radial basis function (RBF) meshless collocation methods which emphasis on recent novel kernel RBFs and new numerical schemes for solving partial differential equations. The RBF collocation methods are inherently f
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Wen Chen Zhuo-Jia Fu C.S. Chen
Recent Advances in Radial Basis Function Collocation Methods 123
SpringerBriefs in Applied Sciences and Technology
For further volumes: http://www.springer.com/series/8884
Wen Chen Zhuo-Jia Fu C. S. Chen •
•
Recent Advances in Radial Basis Function Collocation Methods
123
Wen Chen College of Mechanics and Materials Hohai University Nanjing People’s Republic of China
C. S. Chen University of Southern Mississippi Hattiesburg USA
Zhuo-Jia Fu College of Mechanics and Materials Hohai University Nanjing People’s Republic of China
ISSN 2191-530X ISBN 978-3-642-39571-0 DOI 10.1007/978-3-642-39572-7
ISSN 2191-5318 (electronic) ISBN 978-3-642-39572-7 (eBook)
Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013950722 The Author(s) 2014 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.springer.com)
Preface
Function approximation and interpolation play an essential role in most fields of computational sciences and engineering, such as data processing and numerical solution of partial differential equations (PDEs), in which the interpolation basis function is a key component. The traditional basis functions are mostly coordinate functions, such as polynomial and trigonometric functions, which are computational
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