SpringerBriefs in Applied Sciences and Technology

Recent Advances in Radial Basis Function Collocation Methods

Authors: Chen, Wen, Fu, Zhuo-Jia, Chen, C.S.

  • Systematically introduces various RBF collocation methods for domain and boundary-only discretization, including some very recent techniques not covered elsewhere
  • Introduces new approaches to constructing characteristic kernel RBFs
  • Provides illustrative benchmark examples
  • Includes open-source codes
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eBook $39.99
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  • ISBN 978-3-642-39572-7
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  • Immediate eBook download after purchase
Softcover $54.99
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  • ISBN 978-3-642-39571-0
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About this book

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 free of integration and mesh, and avoid tedious mesh generation involved in standard finite element and boundary element methods. This book focuses primarily on the numerical algorithms, engineering applications, and highlights a large class of novel boundary-type RBF meshless collocation methods. These methods have shown a clear edge over the traditional numerical techniques especially for problems involving infinite domain, moving boundary, thin-walled structures, and inverse problems.

Due to the rapid development in RBF meshless collocation methods, there is a need to summarize all these new materials so that they are available to scientists, engineers, and graduate students who are interest to apply these newly developed methods for solving real world’s problems. This book is intended to meet this need.

Prof. Wen Chen and Dr. Zhuo-Jia Fu work at Hohai University. Prof. C.S. Chen works at the University of Southern Mississippi.

Table of contents (5 chapters)

  • Introduction

    Chen, Wen (et al.)

    Pages 1-4

  • Radial Basis Functions

    Chen, Wen (et al.)

    Pages 5-28

  • Different Formulations of the Kansa Method: Domain Discretization

    Chen, Wen (et al.)

    Pages 29-50

  • Boundary-Type RBF Collocation Methods

    Chen, Wen (et al.)

    Pages 51-87

  • Open Issues and Perspectives

    Chen, Wen (et al.)

    Pages 89-90

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-3-642-39572-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-3-642-39571-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Recent Advances in Radial Basis Function Collocation Methods
Authors
Series Title
SpringerBriefs in Applied Sciences and Technology
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
The Author(s)
eBook ISBN
978-3-642-39572-7
DOI
10.1007/978-3-642-39572-7
Softcover ISBN
978-3-642-39571-0
Series ISSN
2191-530X
Edition Number
1
Number of Pages
X, 90
Number of Illustrations and Tables
23 b/w illustrations
Topics