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Viser: Spherical Radial Basis Functions, Theory and Applications

Spherical Radial Basis Functions, Theory and Applications
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Spherical Radial Basis Functions, Theory and Applications Vital Source e-bog

Simon Hubbert
(2015)
Springer Nature
634,00 kr.
Leveres umiddelbart efter køb
Spherical Radial Basis Functions, Theory and Applications

Spherical Radial Basis Functions, Theory and Applications Vital Source e-bog

Simon Hubbert, Quôc Thông Le Gia og Tanya M. Morton
(2015)
Springer Nature
412,00 kr.
Leveres umiddelbart efter køb
Spherical Radial Basis Functions, Theory and Applications

Spherical Radial Basis Functions, Theory and Applications Vital Source e-bog

Simon Hubbert, Quôc Thông Le Gia og Tanya M. Morton
(2015)
Springer Nature
317,00 kr.
Leveres umiddelbart efter køb
Spherical Radial Basis Functions, Theory and Applications, 1. udgave

Spherical Radial Basis Functions, Theory and Applications

Simon Hubbert, Tanya M. Morton og Quôc Thông Lê Gia
(2015)
Sprog: Engelsk
Springer International Publishing AG
646,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.

Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Maj 2015)
  • ISBN: 9783319179391
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.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.

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Detaljer om varen

  • Vital Source 180 day rentals (fixed pages)
  • Udgiver: Springer Nature (Maj 2015)
  • Forfattere: Simon Hubbert, Quôc Thông Le Gia og Tanya M. Morton
  • ISBN: 9783319179391R180
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.
Licens varighed:
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.

Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer om varen

  • Vital Source 90 day rentals (fixed pages)
  • Udgiver: Springer Nature (Maj 2015)
  • Forfattere: Simon Hubbert, Quôc Thông Le Gia og Tanya M. Morton
  • ISBN: 9783319179391R90
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.
Licens varighed:
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.

Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer om varen

  • 1. Udgave
  • Paperback
  • Udgiver: Springer International Publishing AG (Maj 2015)
  • Forfattere: Simon Hubbert, Tanya M. Morton og Quôc Thông Lê Gia
  • ISBN: 9783319179384

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.

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.
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