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Manuscript Title: Approximating functions by means of symbolic computation and a
general extrapolation method. | ||

Authors: J. Grotendorst | ||

Program title: BH | ||

Catalogue identifier: ABRN_v1_0Distribution 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. | ||

Solution method: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. | ||

Restrictions:The available computer storage is the severest restriction. |

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