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Titlebook: Recent Advances in Radial Basis Function Collocation Methods; Wen Chen,Zhuo-Jia Fu,C.S. Chen Book 2014 The Author(s) 2014 Boundary Knot Me

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發(fā)表于 2025-3-21 17:47:32 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Recent Advances in Radial Basis Function Collocation Methods
編輯Wen Chen,Zhuo-Jia Fu,C.S. Chen
視頻videohttp://file.papertrans.cn/823/822966/822966.mp4
概述Systematically introduces various RBF collocation methods for domain and boundary-only discretization, including some very recent techniques not covered elsewhere.Introduces new approaches to construc
叢書名稱SpringerBriefs in Applied Sciences and Technology
圖書封面Titlebook: Recent Advances in Radial Basis Function Collocation Methods;  Wen Chen,Zhuo-Jia Fu,C.S. Chen Book 2014 The Author(s) 2014 Boundary Knot Me
描述.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. Pr.of. C.S. Chen. works at the University of Southern Miss
出版日期Book 2014
關(guān)鍵詞Boundary Knot Method; Kansa Method; Kernel RBF; Meshless; Method of Fundamental Solution; Singular Bounda
版次1
doihttps://doi.org/10.1007/978-3-642-39572-7
isbn_softcover978-3-642-39571-0
isbn_ebook978-3-642-39572-7Series ISSN 2191-530X Series E-ISSN 2191-5318
issn_series 2191-530X
copyrightThe Author(s) 2014
The information of publication is updating

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Introduction,hless, which avoid troublesome mesh generation for high-dimensional problems involving irregular or moving boundary. This opening chapter begins with the introduction to RBF history and its applications in numerical solution of partial differential equations and then gives a general overview of the book.
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發(fā)表于 2025-3-23 03:28:35 | 只看該作者
Different Formulations of the Kansa Method: Domain Discretization,cular solutions, the method of approximate particular solutions, and the localized RBF methods. Numerical demonstrations show the convergence rate and stability of these domain-type RBF collocation methods for several benchmark examples.
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Introduction, coordinates-based functions. In contrast to the traditional meshed-based methods, the RBF collocation methods are mathematically simple and truly meshless, which avoid troublesome mesh generation for high-dimensional problems involving irregular or moving boundary. This opening chapter begins with
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