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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wendland, Holger, 1968-
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
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.