Items related to Scattered Data Approximation (Cambridge Monographs...

Scattered Data Approximation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 17) - Softcover

Wendland, Holger

 
9780521131018: Scattered Data Approximation (Cambridge Monographs on Applied and Computational Mathematics, Series Number 17)
Softcover
ISBN 10: 0521131014 ISBN 13: 9780521131018
Publisher: Cambridge University Press, 2010

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.

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Book Description

A complete self-contained introduction to the theory of scattered data approximation. Written with graduates and researchers in mind, the text brings together much of the necessary background material into a single treatment and provides students with complete proofs to the theory developed within.

About the Author

Holger Wendland is Associate Professor at the Institute for Numerical and Applied Mathematics at Georg-August-University, Gottingen.

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Publisher
Cambridge University Press
Publication date
2010
Language
English
ISBN 10 
0521131014
ISBN 13 
9780521131018
Binding
Paperback
Edition number
1
Number of pages
348