Approximating functions by means of symbolic computation and a general extrapolation method

Published: 1 January 1990| Version 1 | DOI: 10.17632/bkm5zxt74s.1
J. Grotendorst


Abstract Using a general extrapolation algorithm we present MAPLE procedures for the generation of polynomial and rational approximations to functions having formal series expansions. This algorithm, which has been called E algorithm or Brezinski-Håvie (BH) protocol, includes most of the series (sequence) transformations actually known. MAPLE's ability to perform all calculations in rational arithmetic eliminates the numerical instability of the E algorithm. For nume... Title of program: BH Catalogue Id: ABRN_v1_0 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. Versions of this program held in the CPC repository in Mendeley Data ABRN_v1_0; BH; 10.1016/0010-4655(90)90178-4 ABRN_v2_0; TRANS; 10.1016/0010-4655(91)90026-H This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Computational Physics, Computer Algebra System, Computational Method