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- 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.
- Author BiographyHolger Wendland is Associate Professor at the Institute for Numerical and Applied Mathematics at Georg-August-University, Gottingen.
- Author(s)Holger Wendland
- PublisherCambridge University Press
- Date of Publication11/02/2010
- SubjectScience & Mathematics: Textbooks & Study Guides
- Series TitleCambridge Monographs on Applied and Computational Mathematics
- Series Part/Volume Numberv. 17
- Place of PublicationCambridge
- Country of PublicationUnited Kingdom
- ImprintCambridge University Press
- Content Note53 b/w illus.
- Weight510 g
- Width152 mm
- Height229 mm
- Spine20 mm
- Format DetailsTrade paperback (US)
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