The Resource Spherical radial basis functions, theory and applications, Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton

Spherical radial basis functions, theory and applications, Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton

Label
Spherical radial basis functions, theory and applications
Title
Spherical radial basis functions, theory and applications
Statement of responsibility
Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton
Creator
Contributor
Author
Subject
Genre
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 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
Cataloging source
N$T
http://library.link/vocab/creatorName
Hubbert, Simon
Dewey number
515/.53
Illustrations
illustrations
Index
index present
LC call number
QA406
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Gia, Quôc Thông Lê
  • Morton, Tanya M.
Series statement
Springer briefs in mathematics,
http://library.link/vocab/subjectName
  • Spherical functions
  • Radial basis functions
  • MATHEMATICS
  • MATHEMATICS
  • Radial basis functions
  • Spherical functions
  • Mathematics
  • Approximations and Expansions
  • Partial Differential Equations
  • Numerical Analysis
  • Global Analysis and Analysis on Manifolds
  • Geophysics/Geodesy
  • Differential calculus & equations
  • Numerical analysis
  • Geophysics
Label
Spherical radial basis functions, theory and applications, Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-17939-1
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319179384
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-17939-1
Other physical details
color illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)909027940
  • (OCoLC)ocn909027940
Label
Spherical radial basis functions, theory and applications, Simon Hubbert, Quôc Thông Lê Gia, Tanya M. Morton
Link
https://ezproxy.lib.ou.edu/login?url=http://link.springer.com/10.1007/978-3-319-17939-1
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Extent
1 online resource
File format
unknown
Form of item
online
Isbn
9783319179384
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Note
SpringerLink
Other control number
10.1007/978-3-319-17939-1
Other physical details
color illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)909027940
  • (OCoLC)ocn909027940

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