TY  - BOOK
AU  - Wendland,Holger
TI  - Scattered data approximation
T2  - Cambridge monographs on applied and computational mathematics
SN  - 9780511617539 (ebook)
AV  - QA221 .W46 2005
U1  - 511/.42 22
PY  - 2005///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Approximation theory
KW  - Multivariate analysis
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511617539
ER  -