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Scattered Data Approximation

Name: Scattered Data Approximation
Brand: Cambridge University Press
SKU: 02046575
Price: 58205 HUF
Availability: InStock
Author: Holger Wendland
ISBN: 9780521843355

Holger Wendland

Language

English

Book Hardback

Libristo code: 02046575

Publishers Cambridge University Press, December 2004

Many practical applications require the reconstruction of a multivariate function from discrete, uns... Full description

Libristo code: 02046575

398 b

58 205 Ft

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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.