New convergence results on the generalized Richardson extrapolation process GREP$^{(1)}$ for logarithmic sequences
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Publication:3147176
DOI10.1090/S0025-5718-01-01384-9zbMath1076.41018OpenAlexW2024593588MaRDI QIDQ3147176
Publication date: 18 September 2002
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-01-01384-9
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Extrapolation to the limit, deferred corrections (65B05)
Related Items (3)
Acceleration of convergence of some infinite sequences \(\{A_n\}\) whose asymptotic expansions involve fractional powers of \(n\) via the \(\widetilde{d}^{(m)}\) transformation ⋮ Survey of numerical stability issues in convergence acceleration ⋮ Asymptotic upper bounds for the errors of Richardson extrapolation with practical application in approximate computations
Cites Work
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- On a generalization of the Richardson extrapolation process
- An algorithm for a special case of a generalization of the Richardson extrapolation process
- Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
- Further convergence and stability results for the generalized Richardson extrapolation process \(GREP^{(1)}\) with an application to the \(D^{(1)}\)-transformation for infinite integrals
- Fehlerabschätzungen und Extrapolation mit rationalen Funktionen bei Verfahren vom Richardson-Typus
- An Algorithm for a Generalization of the Richardson Extrapolation Process
- Analysis of Convergence of the T-Transformation for Power Series
- Some Properties of a Generalization of the Richardson Extrapolation Process
- Numerical Comparisons of Nonlinear Convergence Accelerators
- Propagation of initial rounding error in Romberg-like quadrature
- Convergence Properties of Some Nonlinear Sequence Transformations
- Acceleration of Linear and Logarithmic Convergence
- Acceleration of Convergence of a Family of Logarithmically Convergent Sequences
- The Richardson Extrapolation Process with a Harmonic Sequence of Collocation Points
- Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d (1) -Transformation on Convergent and Divergent Logarithmic Sequences
- Development of non-linear transformations for improving convergence of sequences
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