Spherical radial basis functions, theory and applications
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The work Spherical radial basis functions, theory and applications represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
The Resource
Spherical radial basis functions, theory and applications
Resource Information
The work Spherical radial basis functions, theory and applications represents a distinct intellectual or artistic creation found in University of Oklahoma Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Spherical radial basis functions, theory and applications
 Statement of responsibility
 Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton
 Subject

 Geophysics/Geodesy
 Global Analysis and Analysis on Manifolds
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematics
 Numerical Analysis
 Numerical analysis
 Partial Differential Equations
 Radial basis functions
 Radial basis functions
 Spherical functions
 Spherical functions
 Approximations and Expansions
 Differential calculus & equations
 Electronic books
 Geophysics
 Language
 eng
 Summary
 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 wellknown family of radial basis functions (RBFs), which are wellestablished 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 indepth investigation of its accuracy is provided. Two chapters are devoted to partial differential equations (PDEs). One deals with the practical implementation of an SBFbased solution to an elliptic PDE and another which describes an SBF approach for solving a parabolic timedependent PDE, complete with error analysis. The theory developed is illuminated with numerical experiments throughout. Spherical Radial Basis Functions, Theory and Applications will be of interest to graduate students and researchers in mathematics and related fields such as the geophysical sciences and statistics
 Cataloging source
 N$T
 Dewey number
 515/.53
 Illustrations
 illustrations
 Index
 index present
 LC call number
 QA406
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Springer briefs in mathematics,
Context
Context of Spherical radial basis functions, theory and applicationsWork of
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