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Global Smoothness and Shape Preserving Interpolation by Classical Operators
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Global Smoothness and Shape Preserving Interpolation by Classical Operators

Global Smoothness and Shape Preserving Interpolation by Classical Operators

Sorin G. Gal

146 pages, parution le 16/08/2005

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
Voir tout
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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

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