Interpolation and Extrapolation

Language: English

Published by Elsevier BV Dez 2000, 2000

0444505970 / 9780444505972

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Neuware - /homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price! This volume is dedicated to two closely related subjects: interpolation and extrapolation. The papers can be divided into three categories: historical papers, survey papers and papers presenting new developments.Interpolation is an old subject since, as noticed in the paper by M. Gasca and T. Sauer, the term was coined by John Wallis in 1655. Interpolation was the first technique for obtaining an approximation of a function. Polynomial interpolation was then used in quadrature methods and methods for the numerical solution of ordinary differential equations.Extrapolation is based on interpolation. In fact, extrapolation consists of interpolation at a point outside the interval containing the interpolation points. Usually, this point is either zero or infinity. Extrapolation is used in numerical analysis to improve the accuracy of a process depending of a parameter or to accelerate the convergence of a sequence. The most well-known extrapolation processes are certainly Romberg's method for improving the convergence of the trapezoidal rule for the computation of a definite integral and Aiken's &Dgr;2 process which can be found in any textbook of numerical analysis.Obviously, all aspects of interpolation and extrapolation have not been treated in this volume. However, many important topics have been covered.…

Seller Inventory # 9780444505972

Title
Interpolation and Extrapolation
Author
C. Brezinski
Publisher
Elsevier BV Dez 2000
Publication year
2000
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
0444505970
ISBN 13
9780444505972
Item weight
486 grams
Dimensions
246x189x14 mm

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