Global Smoothness and Shape Preserving Interpolation by Classical Operators

Sorin G. Gal

146 pages, parution le 16/08/2005

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Résumé

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.

Sommaire

Preface
Introduction
Global Smoothness Preservation, Univariate Case
Partial Shape Preservation, Univariate Case
Global Smoothness Preservation, Bivariate Case
Partial Shape Preservation, Bivariate Case
A: Appendix: Graphs of Shepard Surfaces
References
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Sorin G. Gal
Parution	16/08/2005
Nb. de pages	146
Format	16 x 24
Couverture	Relié
Poids	397g
Intérieur	Noir et Blanc
EAN13	9780817643874
ISBN13	978-0-8176-4387-4