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Interpolation and extrapolation

Author: Claude Brezinski
Publisher: Amsterdam ; New York : Elsevier, 2000.
Series: Numerical analysis 2000, v. 2.
Edition/Format:   Print book : English : 1st edView all editions and formats
Database:WorldCat
Summary:

Interpolation was the first technique for obtaining an approximation of a function. Extrapolation is used in numerical analysis to improve the accuracy of a process depending of a parameter or to  Read more...

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Document Type: Book
All Authors / Contributors: Claude Brezinski
ISBN: 0444505970 9780444505972
OCLC Number: 49860047
Notes: "[Published also as] Journal of computational and applied mathematics, volume 122, numbers 1-2, 1 October 2000"--Page [vii].
Description: xi, 356 pages : illustrations ; 27 cm.
Contents: Preface: Numerical Analysis 2000. Vol. II: Interpolation and extrapolation (C. Brezinski). Convergence Acceleration during the 20th century (C. Brezinski). On the history of multivariate polynomial interpolation (M. Gasca, T. Sauer). Elimination techniques: from extrapolation to totally positive matrices and CADG (M. Gasca, G. Muhlbach). The ipsilon algorithm and related topics (P.R. Graves-Morris, D.E. Roberts, A. Salam). Scalar Levin-type sequence transformations (H.H.H. Homeier). Vector extrapolation methods. Applications and numerical comparison (K. Jbilou, H. Sadok). Multivariate Hermite interpolation by algebraic polynomials: A survey (R.A. Lorentz). Interpolation by Cauchy-Vandermonde systems and applications (G. Muhlbach). The E-algorithm and the Ford-Sidi algorithm (N. Osada). Diophantine approximations using Pade approximations (M. Prevost). The generalized Richardson extrapolation process GREP(1) and computation of derivatives of limits of sequences with applications to the d(1)-transformation (A. Sidi). Matrix Hermite-Pade problem and dynamical systems (V. Sorokin, J. Van Iseghem). Numerical analysis of the non-uniform sampling problem (T. Strohmer). Asymptotic expansions for multivariate polynomial approximation (G. Walz). Prediction properties of Aitken's iterated 2 process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm (E.J. Weniger).
Series Title: Numerical analysis 2000, v. 2.
Other Titles: Journal of computational and applied mathematics.
Responsibility: edited by C. Brezinski.
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