A Maple package for transforming series, sequences and functions

DOI10.1016/0010-4655(91)90026-HzbMath0875.65007OpenAlexW1988811103MaRDI QIDQ1366120

Johannes Grotendorst

Publication date: 11 November 1997

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4655(91)90026-h

zbMATH Keywords

convergence accelerationdivergent seriesrational approximationsequence transformationMaple packageextrapolation algorithmsymbolic and numerical computation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Extrapolation to the limit, deferred corrections (65B05) Numerical summation of series (65B10) Packaged methods for numerical algorithms (65Y15)

Related Items

Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory, Interpolation between sequence transformations, The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations, Scalar Levin-type sequence transformations

Uses Software

• HURRY
• Maple

Cites Work

• A new method for deriving Padé approximants for some hypergeometric functions
• Rational approximations for the modified Bessel function of the second kind
• HURRY: An Acceleration Algorithm for Scalar Sequences and Series
• Generalized neville type extrapolation schemes
• Development of non-linear transformations for improving convergence of sequences
• On a Device for Computing the e m (S n ) Transformation
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