Rational approximants generated by the \(u\)-transform

DOI10.1016/0010-4655(93)90141-XzbMath0878.65011MaRDI QIDQ1365690

Siddhartha Bhowmick, Ranjan Bhattacharya, Dhiranjan Roy

Publication date: 5 January 1998

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

zbMATH Keywords

rational approximantspower series expansionsPadé approximantnonlinear sequence transform

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximation by rational functions (41A20) Computation of special functions and constants, construction of tables (65D20)

Related Items (9)

Mathematical properties of a new Levin-type sequence transformation introduced by Čı́žek, Zamastil, and Skála. I. Algebraic theory ⋮ Global approximation for some functions ⋮ Approximation with discrete projective transformation ⋮ Multipoint Levin-Weniger approximants and their application to the ground state energies of quantum anharmonic oscillators ⋮ Prediction of unknown terms of a sequence and its application to some physical problems ⋮ Multivariate approximants with levin-like transforms ⋮ A class of new transforms tailored for the hypergeometric series ⋮ Rational approximants using Levin-Weniger transforms ⋮ Function parametrization by using 4-point transforms

Cites Work

• Iterations of convergence accelerating nonlinear transforms
• Efficient solution of differential equations by analytic continuation
• Numerical Comparisons of Nonlinear Convergence Accelerators
• The automatic integration of ordinary differential equations

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