Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] abrn_v1_0.gz(10 Kbytes)|
|Manuscript Title: Approximating functions by means of symbolic computation and a general extrapolation method.|
|Authors: J. Grotendorst|
|Program title: BH|
|Catalogue identifier: ABRN_v1_0|
Distribution format: gz
|Journal reference: Comput. Phys. Commun. 59(1990)289|
|Programming language: Maple.|
|Computer: IBM 3090-200E.|
|Operating system: VM/XA SP REL.2.|
|RAM: 9999K words|
|Word size: 32|
|Keywords: Computer algebra, General purpose, Utility, Brezinski-havie protocol, E algorithm, Polynomial and rational Extrapolation Of functions, Series (sequence) Transformations, Symbolic computation, Generation of Fortran functions.|
|Classification: 4.14, 5.|
Nature of problem:
Approximating functions by means of formal series expansions is a technique which is applied quite frequently in the mathematical treatment of physical problems. To improve the quality of the approximation by appropriate extrapolation methods is highly desired.
MAPLE proceduers are presented for transforming the Taylor or asymptotic expansion of a given function into an approximating function using a suitable series transformation. A general extrapolation algorithm due to Brezinski and Havie is used to perform the Richardson extrapolation process, the p transformation of Wynn and the transformations of Shanks, Levin and Germain-Bonne. For numerical purposes the approximating functions can be translated into optimized FORTRAN function programs.
The available computer storage is the severest restriction.
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