Spherical radial basis functions, theory and applications: [electronic resource] /: Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton.

Hubbert, Simon,; Gia, Quôc Thông Lê,; Morton, Tanya M.,

doi:10.1007/978-3-319-17939-1

Spherical radial basis functions, theory and applications [electronic resource] / Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton.

Hubbert, Simon, author.; Gia, Quôc Thông Lê, author.; Morton, Tanya M., author.

2015

QA406

Available Online

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Title

Spherical radial basis functions, theory and applications [electronic resource] / Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton.

Author

Hubbert, Simon, author.

ISBN

9783319179391 electronic book
331917939X electronic book
9783319179384

DOI

https://doi.org/10.1007/978-3-319-17939-1

Published

Cham : Springer, [2015]

Language

English

Description

1 online resource : color illustrations.

Item Number

10.1007/978-3-319-17939-1 doi

Call Number

QA406

Dewey Decimal Classification

515/.53

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 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, Theory and Applications will be of interest to graduate students and researchers in mathematics and related fields such as the geophysical sciences and statistics.

Bibliography, etc. Note

Includes bibliographical references.

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Access limited to authorized users.

Source of Description

Online resource; title from PDF title page (viewed May 18, 2015).

Added Author

Gia, Quôc Thông Lê, author.
Morton, Tanya M., author.

Series

SpringerBriefs in mathematics.

Available in Other Form

Print version: 9783319179384