Téléchargez le livre : Global Smoothness and Shape Preserving Interpolation by Classical Operators

Global Smoothness and Shape Preserving Interpolation by Classical Operators



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Éditeur :

Birkhäuser


Paru le : 2006-09-10



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Description
This monograph examines and develops the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP) in the field of interpolation of functions. The study is developed for the univariate and bivariate cases using well-known classical interpolation operators of Lagrange, Grünwald, Hermite-Fejér and Shepard type. One of the first books on the subject, it presents interesting new results alongwith an excellent survey of past research. Key features include: - potential applications to data fitting, fluid dynamics, curves and surfaces, engineering, and computer-aided geometric design - presents recent work featuring many new interesting results as well as an excellent survey of past research - many interesting open problems for future research presented throughout the text - includes 20 very suggestive figures of nine types of Shepard surfaces concerning their shape preservation property - generic techniques of the proofs allow for easy application to obtaining similar results for other interpolation operators This unique, well-written text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer-aided geometric design, fluid mechanics, and engineering researchers.
Pages
146 pages
Collection
n.c
Parution
2006-09-10
Marque
Birkhäuser
EAN papier
9780817643874
EAN PDF
9780817644017
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
14
Taille du fichier
1331 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
52,74 €

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