Cargando…
Scattered data approximation /
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 partition...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2005.
|
| Colección: | Cambridge monographs on applied and computational mathematics ;
17. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
|---|---|
| Descripción Física: | 1 online resource (x, 336 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 323-333) and index. |
| ISBN: | 9780511265792 0511265794 0511263511 9780511617539 0511617534 9780511263514 0511265077 9780511265075 9780521843355 0521843359 |