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Scattered data approximation /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Scattered data approximation // Holger Wendland.
Author:	Wendland, Holger,
Description:	1 online resource (x, 336 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Approximation theory. -
Online resource:	https://doi.org/10.1017/CBO9780511617539
ISBN:	9780511617539 (ebook)

Scattered data approximation /
Wendland, Holger,1968-

Scattered data approximation /Holger Wendland. - 1 online resource (x, 336 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;17. - Cambridge monographs on applied and computational mathematics ;16..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to support courses in computer-aided geometric design, and meshless methods for partial differential equations.

ISBN: 9780511617539 (ebook)Subjects--Topical Terms:

527707
Approximation theory.

LC Class. No.: QA221 / .W46 2005

Dewey Class. No.: 511/.42

Scattered data approximation /
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490 1 $a Cambridge monographs on applied and computational mathematics ; $v 17
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction into this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity. The book starts with an overview on typical applications of scattered data approximation, coming from surface reconstruction, fluid-structure interaction, and the numerical solution of partial differential equations. It then leads the reader from basic properties to the current state of research, addressing all important issues, such as existence, uniqueness, approximation properties, numerical stability, and efficient implementation. Each chapter ends with a section giving information on the historical background and hints for further reading. Complete proofs are included, making this perfectly suited for graduate courses on multivariate approximation and it can be used to support courses in computer-aided geometric design, and meshless methods for partial differential equations.
650 0 $a Approximation theory. $3 527707
650 0 $a Multivariate analysis. $3 577402
776 0 8 $i Print version: $z 9780521843355
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 16. $3 746415
856 4 0 $u https://doi.org/10.1017/CBO9780511617539