國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Spherical radial basis functions, th...

Hubbert, Simon.

Spherical radial basis functions, theory and applications

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Spherical radial basis functions, theory and applicationsby Simon Hubbert, Quoc Thong Le Gia, Tanya M. Morton.
作者:	Hubbert, Simon.
其他作者:	Le Gia, Quoc Thong.
出版者:	Cham :Springer International Publishing :2015.
面頁冊數:	x, 143 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Spherical functions.
電子資源:	http://dx.doi.org/10.1007/978-3-319-17939-1
ISBN:	9783319179391 (electronic bk.)

Spherical radial basis functions, theory and applications
Hubbert, Simon.

Spherical radial basis functions, theory and applications[electronic resource] /by Simon Hubbert, Quoc Thong Le Gia, Tanya M. Morton. - Cham :Springer International Publishing :2015. - x, 143 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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.

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.

ISBN: 9783319179391 (electronic bk.)

Standard No.: 10.1007/978-3-319-17939-1doiSubjects--Topical Terms:

338636
Spherical functions.

LC Class. No.: QA406

Dewey Class. No.: 515.53

Spherical radial basis functions, theory and applications
LDR:02624nmm a2200325 a 4500 001 469193
003 DE-He213
005 20160105153229.0
006 m d
007 cr nn 008maaau
008 160118s2015 gw s 0 eng d
020 $a 9783319179391 (electronic bk.)
020 $a 9783319179384 (paper)
024 7 $a 10.1007/978-3-319-17939-1 $2 doi
035 $a 978-3-319-17939-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA406
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.53 $2 23
090 $a QA406 $b .H876 2015
100 1 $a Hubbert, Simon. $3 725102
245 1 0 $a Spherical radial basis functions, theory and applications $h [electronic resource] / $c by Simon Hubbert, Quoc Thong Le Gia, Tanya M. Morton.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a x, 143 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 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.
520 $a 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.
650 0 $a Spherical functions. $3 338636
650 0 $a Radial basis functions. $3 209305
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Approximations and Expansions. $3 281039
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Global Analysis and Analysis on Manifolds. $3 273786
650 2 4 $a Geophysics/Geodesy. $3 274000
700 1 $a Le Gia, Quoc Thong. $3 725103
700 1 $a Morton, Tanya M. $3 725104
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 558795
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17939-1
950 $a Mathematics and Statistics (Springer-11649)