Global Smoothness and Shape Preserving Interpolation by Classical Operators

By:

Sorin G Gal

Format:

Hardback

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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, Grunwald, Hermite-Fejer 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 operatorsThis 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.

Release date NZ

July 27th, 2005

Author

Sorin G Gal

Audience

Professional & Vocational

Contributor

Other adaptation by George A. Anastassiou

Illustrations

20 Illustrations, black and white; XIII, 146 p. 20 illus.

Pages

146

Dimensions

156x234x11

ISBN-13

9780817643874

Product ID

5826267

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