| 書目名稱 | Spherical Radial Basis Functions, Theory and Applications | | 編輯 | Simon Hubbert,Qu?c Th?ng Lê Gia,Tanya M. Morton | | 視頻video | http://file.papertrans.cn/875/874241/874241.mp4 | | 概述 | A customised review of spherical mathematics from functional analysis and differential geometry.Studies technical error analysis of the SBF method in a friendly, readable style.Both practical and theo | | 叢書名稱 | SpringerBriefs in Mathematics | | 圖書封面 |  | | 描述 | .This book is the first to be devoted to the theory and applications of spherical (radial) basis functions (SBFs), which is rapidly emerging as one of the most promising techniques for solving problems where approximations are needed on the surface of a sphere. The aim of the book is to provide enough theoretical and practical details for the reader to be able to implement the SBF methods to solve real world problems. The authors stress the close connection between the theory of SBFs and that of the more well-known family of radial basis functions (RBFs), which are well-established tools for solving approximation theory problems on more general domains. The unique solvability of the SBF interpolation method for data fitting problems is established and an in-depth investigation of its accuracy is provided. Two chapters are devoted to partial differential equations (PDEs). One deals with the practical implementation of an SBF-based solution to an elliptic PDE and another which describes an SBF approach for solving a parabolic time-dependent PDE, complete with error analysis. The theory developed is illuminated with numerical experiments throughout. .Spherical Radial Basis Functions, | | 出版日期 | Book 2015 | | 關(guān)鍵詞 | Approximation Theory; Approximation on Spheres; Error Estimates; Multivariate Interpolation; Radial Basi | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-17939-1 | | isbn_softcover | 978-3-319-17938-4 | | isbn_ebook | 978-3-319-17939-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s) 2015 |
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