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Item Details
Title: SCATTERED DATA APPROXIMATION
By: Holger Wendland
Format: Electronic book text

List price: £135.00


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ISBN 10: 0511617534
ISBN 13: 9780511617539
Publisher: CAMBRIDGE UNIVERSITY PRESS
Pub. date: 22 February, 2010
Series: Cambridge Monographs on Applied and Computational Mathematics 17
Description: A self-contained introduction to the theory of scattered data approximation, suitable for graduates and researchers.
Synopsis: 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.
Publication: UK
Imprint: Cambridge University Press (Virtual Publishing)
Returns: Non-returnable
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