Programs for the approximation of real and imaginary single- and multi-valued functions by means of Hermite-Padé-approximants

DOI10.1016/J.CPC.2004.02.002zbMath1196.65043OpenAlexW2049234450MaRDI QIDQ709491

T. M. Feil, Herbert H. H. Homeier

Publication date: 18 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2004.02.002

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Software, source code, etc. for problems pertaining to approximations and expansions (41-04)

Related Items (4)

Series prediction based on algebraic approximants ⋮ Accurate estimates of asymptotic indices via fractional calculus ⋮ Hermite-Padé approximation approach to shapes of rotating drops ⋮ Convergence Acceleration and Improvement by Regular Matrices

Uses Software

• Maple
• Mathematica
• hp.sr

Cites Work

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• A convergent renormalized strong coupling perturbation expansion for the ground state energy of the quartic, sextic, and octic anharmonic oscillator
• Convergence acceleration of logarithmically convergent series avoiding summation
• A recursive algorithm for Padé-Hermite approximations
• The harmonic oscillator with λx^Mperturbation
• Summation of asymptotic expansions of multiple-valued functions using algebraic approximants: Application to anharmonic oscillators
• Summation of the eigenvalue perturbation series by multi-valued Pade approximants: application to resonance problems and double wells

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