Author : Sorin G. Gal
Publisher : Springer Science & Business Media
ISBN 13 : 0817644016
Total Pages : 155 pages
Book Rating : 4.8/5 (176 download)
Book Synopsis Global Smoothness and Shape Preserving Interpolation by Classical Operators by : Sorin G. Gal
Download or read book Global Smoothness and Shape Preserving Interpolation by Classical Operators written by Sorin G. Gal and published by Springer Science & Business Media. This book was released on 2006-09-10 with total page 155 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph examines in detail two aspects in the field of interpolation of functions -the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). By considering well-known classical interpolation operators such as Lagrange, Grünwald, Hermite-Fejér and Shepard type, the study is mainly developed for the univariate and bivariate cases. One of the first books on the subject, it presents to the reader, recent work featuring many new interesting results in this field, including an excellent survey of past research. Accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces, this unique 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.