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

Wendland, Holger

Hardcover

ISBN 10: 0521843359 ISBN 13: 9780521843355

Publisher: Cambridge University Press, 2004

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.

About this title

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.

About this edition

• Publisher: Cambridge University Press
• Publication date: 2004
• ISBN 10: 0521843359
• ISBN 13: 9780521843355
• Binding: Hardcover
• Edition number: 1
• Number of pages: 348