The Resource Spherical Radial Basis Functions, Theory and Applications, by Simon Hubbert, Quôc Thông Le Gia, Tanya M. Morton, (electronic resource)

Spherical Radial Basis Functions, Theory and Applications, by Simon Hubbert, Quôc Thông Le Gia, Tanya M. Morton, (electronic resource)

Label
Spherical Radial Basis Functions, Theory and Applications
Title
Spherical Radial Basis Functions, Theory and Applications
Statement of responsibility
by Simon Hubbert, Quôc Thông Le Gia, Tanya M. Morton
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • 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 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
Member of
http://library.link/vocab/creatorName
Hubbert, Simon
Dewey number
515/.53
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • DVml9ob4-E4
  • RcnuXKPxuZA
  • h1YIw8WESIk
Language note
English
LC call number
QA401-425
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Le Gia, Quôc Thông.
  • Morton, Tanya M.
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Differential equations, partial
  • Numerical analysis
  • Global analysis
  • Physical geography
  • Approximations and Expansions
  • Partial Differential Equations
  • Numerical Analysis
  • Global Analysis and Analysis on Manifolds
  • Geophysics/Geodesy
Label
Spherical Radial Basis Functions, Theory and Applications, by Simon Hubbert, Quôc Thông Le Gia, Tanya M. Morton, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Motivation and Background Functional Analysis -- The Spherical Basis Function Method -- Error Bounds via Duchon's Technique -- Radial Basis Functions for the Sphere -- Fast Iterative Solvers for PDEs on Spheres -- Parabolic PDEs on Spheres
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (150 p.)
Form of item
online
Isbn
9783319179391
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-17939-1
Specific material designation
remote
System control number
  • (CKB)3710000000414279
  • (EBL)2095454
  • (SSID)ssj0001501732
  • (PQKBManifestationID)11901936
  • (PQKBTitleCode)TC0001501732
  • (PQKBWorkID)11447660
  • (PQKB)10334645
  • (DE-He213)978-3-319-17939-1
  • (MiAaPQ)EBC2095454
  • (EXLCZ)993710000000414279
Label
Spherical Radial Basis Functions, Theory and Applications, by Simon Hubbert, Quôc Thông Le Gia, Tanya M. Morton, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Motivation and Background Functional Analysis -- The Spherical Basis Function Method -- Error Bounds via Duchon's Technique -- Radial Basis Functions for the Sphere -- Fast Iterative Solvers for PDEs on Spheres -- Parabolic PDEs on Spheres
Dimensions
unknown
Edition
1st ed. 2015.
Extent
1 online resource (150 p.)
Form of item
online
Isbn
9783319179391
Media category
computer
Media type code
  • c
Other control number
10.1007/978-3-319-17939-1
Specific material designation
remote
System control number
  • (CKB)3710000000414279
  • (EBL)2095454
  • (SSID)ssj0001501732
  • (PQKBManifestationID)11901936
  • (PQKBTitleCode)TC0001501732
  • (PQKBWorkID)11447660
  • (PQKB)10334645
  • (DE-He213)978-3-319-17939-1
  • (MiAaPQ)EBC2095454
  • (EXLCZ)993710000000414279

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