| Description |
x, 336 pages : illustrations ; 24 cm |
| Series |
Cambridge monographs on applied and computational mathematics ; 17 |
|
Cambridge monographs on applied and computational mathematics ; 17
|
| Contents |
1. Applications and motivations -- 2. Haar spaces and multivariate polynomials -- 3. Local polynomial reproduction -- 4. Moving least squares -- 5. Auxiliary tools from analysis and measure theory -- 6. Positive definite functions -- 7. Completely monotone functions -- 8. Conditionally positive definite functions -- 9. Compactly supported functions -- 10. Native spaces -- 11. Error estimates for radial basis function interpolation -- 12. Stability -- 13. Optimal recovery -- 14. Data structures -- 15. Numerical methods -- 16. Generalized interpolation -- 17. Interpolation on spheres and other manifolds |
| Summary |
"Many practical applications require the reconstruction of a multivariate function from discrete, unstructured data. This book gives a self-contained, complete introduction to this subject. It concentrates on truly meshless methods such as radial basis functions, moving least squares, and partitions of unity." "Since it contains complete proofs it is a perfect textbook for graduate courses on multivariate approximation, and can be used to support courses in computer-aided geometric design and meshless methods for partial differential equations."--BOOK JACKET |
| Notes |
Title from e-book title screen (viewed October 15, 2007) |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Approximation theory.
|
|
Multivariate analysis.
|
| Author |
MyiLibrary.
|
| LC no. |
2004049270 |
| ISBN |
9780521843355 cased |
|
0521843359 cased |
|
9780521843355 |
|
