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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 |
MARC
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| 100 | 1 | |a Wendland, Holger, |d 1968- | |
| 245 | 1 | 0 | |a Scattered data approximation / |c Holger Wendland. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2005. | ||
| 300 | |a 1 online resource (x, 336 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Cambridge monographs on applied and computational mathematics ; |v 17 | |
| 504 | |a Includes bibliographical references (pages 323-333) and index. | ||
| 505 | 0 | 0 | |g Introduction -- |t Hear spaces and multivariate polynomials -- |t Local polynomial reproduction -- |t Moving least squares -- |t Auxiliary tools from analysis and measure theory -- |t Positive definite functions -- |t Completely monotine functions -- |t Conditionally positive definite functions -- |t Compactly supported functions -- |t Native spaces -- |t Error estimates and radial basis function interpolation -- |t Stability -- |t Optimal recovery -- |t Data structures -- |t Numerical methods -- |t Generalized interpolation -- |t Interpolation on spheres and other manifolds. |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Approximation theory. | |
| 650 | 0 | |a Multivariate analysis. | |
| 650 | 2 | |a Multivariate Analysis | |
| 650 | 6 | |a Théorie de l'approximation. | |
| 650 | 6 | |a Analyse multivariée. | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Approximation theory |2 fast | |
| 650 | 7 | |a Multivariate analysis |2 fast | |
| 650 | 7 | |a Aproximação (teoria) |2 larpcal | |
| 650 | 7 | |a Análise multivariada. |2 larpcal | |
| 776 | 0 | 8 | |i Print version: |a Wendland, Holger, 1968- |t Scattered data approximation. |d Cambridge, UK ; New York : Cambridge University Press, 2005 |z 0521843359 |z 9780521843355 |w (DLC) 2004049270 |w (OCoLC)54913412 |
| 830 | 0 | |a Cambridge monographs on applied and computational mathematics ; |v 17. | |
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