Further convergence and stability results for the generalized Richardson extrapolation process \(GREP^{(1)}\) with an application to the \(D^{(1)}\)-transformation for infinite integrals
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Publication:1964093
DOI10.1016/S0377-0427(99)90226-1zbMath0958.65008MaRDI QIDQ1964093
Publication date: 28 March 2001
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Related Items (6)
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 ⋮ An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis ⋮ Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences ⋮ The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation ⋮ New convergence results on the generalized Richardson extrapolation process GREP$^{(1)}$ for logarithmic sequences
Cites Work
- 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
- Some Properties of a Generalization of the Richardson Extrapolation Process
- Convergence Analysis for a Generalized Richardson Extrapolation Process with an Application to the d (1) -Transformation on Convergent and Divergent Logarithmic Sequences
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