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.
Cambridge University Press (Virtual Publishing)
|Country of origin:
||Cambridge Monographs on Applied and Computational Mathematics, 17
||Electronic book text
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!