MAPLE programs for converting series expansions to rational functions using the Levin transformation. Automatic generation of FORTRAN functions for numerical applications

DOI10.1016/0010-4655(89)90130-6zbMath0798.65007OpenAlexW1978263823MaRDI QIDQ1330599

Johannes Grotendorst

Publication date: 21 July 1994

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

Full work available at URL: https://doi.org/10.1016/0010-4655(89)90130-6

zbMATH Keywords

asymptotic expansionconvergence accelerationsymbolic computationMAPLETaylor expansionrational approximationLevin transformationFORTRAN code generation

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical summation of series (65B10)

Related Items (3)

Rational approximations for the modified Bessel function of the second kind ⋮ Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ 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

Uses Software

• Maple
• LEVIN

Cites Work

• Sequence transformations and their applications
• HURRY: An Acceleration Algorithm for Scalar Sequences and Series
• Analysis of Convergence of the T-Transformation for Power Series
• Automatic Selection of Sequence Transformations
• Numerical Comparisons of Nonlinear Convergence Accelerators
• Generalized neville type extrapolation schemes
• Development of non-linear transformations for improving convergence of sequences
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: MAPLE programs for converting series expansions to rational functions using the Levin transformation. Automatic generation of FORTRAN functions for numerical applications