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 |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2005.
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Colección: | Cambridge monographs on applied and computational mathematics ;
17. |
Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Hear spaces and multivariate polynomials
- Local polynomial reproduction
- Moving least squares
- Auxiliary tools from analysis and measure theory
- Positive definite functions
- Completely monotine functions
- Conditionally positive definite functions
- Compactly supported functions
- Native spaces
- Error estimates and radial basis function interpolation
- Stability
- Optimal recovery
- Data structures
- Numerical methods
- Generalized interpolation
- Interpolation on spheres and other manifolds.