Scattered Data Approximation

Name: Scattered Data Approximation
Price: 99.1 USD
Availability: InStock
ISBN: 9780521843355

ISBN-10: 0521843359

ISBN-13: 9780521843355

Edition: 2004

Authors: Holger Wendland, P. G. Ciarlet, A. Iserles, R. V. Kohn, M. H. Wright

List price: $153.00

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Description:

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,…

Book details

List price: $153.00
Copyright year: 2004
Publisher: Cambridge University Press
Publication date: 12/13/2004
Binding: Hardcover
Pages: 348
Size: 6.22" wide x 9.29" long x 0.87" tall
Weight: 1.496
Language: English




Applications and motivations



Hear spaces and multivariate polynomials



Local polynomial reproduction



Moving least squares



Auxiliary tools from analysis and measure theory



Positive definite functions



Completely monotine functions



Conditionally positive definite functions



Compactly supported functions



Native spaces



Error estimates for radial basis function interpolation



Stability



Optimal recovery



Data structures



Numerical methods



Generalized interpolation



Interpolation on spheres and other manifolds