Recent Advances in Radial Basis Function Collocation Methods

  • Wen Chen
  • Zhuo-Jia Fu
  • C.S. Chen

Part of the SpringerBriefs in Applied Sciences and Technology book series (BRIEFSAPPLSCIENCES)

Table of contents

  1. Front Matter
    Pages i-x
  2. Wen Chen, Zhuo-Jia Fu, C. S. Chen
    Pages 1-4
  3. Wen Chen, Zhuo-Jia Fu, C. S. Chen
    Pages 5-28
  4. Wen Chen, Zhuo-Jia Fu, C. S. Chen
    Pages 29-50
  5. Wen Chen, Zhuo-Jia Fu, C. S. Chen
    Pages 51-87
  6. Wen Chen, Zhuo-Jia Fu, C. S. Chen
    Pages 89-90

About this book

Introduction

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.

Keywords

Boundary Knot Method Kansa Method Kernel RBF Meshless Method of Fundamental Solution Singular Boundary Method

Authors and affiliations

  • Wen Chen
    • 1
  • Zhuo-Jia Fu
    • 2
  • C.S. Chen
    • 3
  1. 1.College of Mechanics and MaterialsHohai UniversityNanjingPeople's Republic of China
  2. 2.College of Mechanics and MaterialsHohai UniversityNanjingPeople's Republic of China
  3. 3.University of Southern MississippiHattiesburgUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-39572-7
  • Copyright Information The Author(s) 2014
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-39571-0
  • Online ISBN 978-3-642-39572-7
  • Series Print ISSN 2191-530X
  • Series Online ISSN 2191-5318
  • About this book