Scattered Data Approximation
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Scattered Data Approximation by Holger Wendland
Book DescriptionMany 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.
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Book DetailsISBN: 9780521843355
(228mm x 152mm x 24mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 13-Dec-2004
Country of Publication: United Kingdom
Books By Author Holger Wendland
Scattered Data Approximation, Paperback (February 2010)» View all books by Holger Wendland
A self-contained introduction to the theory of scattered data approximation, suitable for graduates and researchers.
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Author Biography - Holger Wendland
Holger Wendland is Associate Professor at the Institute for Numerical and Applied Mathematics at Georg-August-University, Gottingen.
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