Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Some Properties of a Generalization of the Richardson Extrapolation Process - MaRDI portal

Some Properties of a Generalization of the Richardson Extrapolation Process

From MaRDI portal
Publication:3896396

DOI10.1093/imamat/24.3.327zbMath0449.65001OpenAlexW1974578985MaRDI QIDQ3896396

Avram Sidi

Publication date: 1979

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a038c82cca784792234d11fa4312983c9cc8f571



Related Items

Acceleration of convergence of some infinite sequences \(\{A_n\}\) whose asymptotic expansions involve fractional powers of \(n\) via the \(\widetilde{d}^{(m)}\) transformation, Other manifestations of the Schur complement, Quadrature methods for periodic singular and weakly singular Fredholm integral equations, Further results on convergence and stability of a generalization of the Richardson extrapolation process, Survey of numerical stability issues in convergence acceleration, A general extrapolation algorithm, An extended multistep Shanks transformation and convergence acceleration algorithm with their convergence and stability analysis, An algorithm for a special case of a generalization of the Richardson extrapolation process, On a generalization of the Richardson extrapolation process, The structure of the singular solution table of the M-Padé approximation problem, Further convergence and stability results for the generalized Richardson extrapolation process \(GREP^{(1)}\) with an application to the \(D^{(1)}\)-transformation for infinite integrals, Computation of infinite integrals involving Bessel functions of arbitrary order by the \(\overline{D}\)-transformation, Asymptotic expansions of Legendre series coefficients for functions with interior and endpoint singularities, The 𝑑₂-transformation for infinite double series and the 𝐷₂-transformation for infinite double integrals, A Levin-type algorithm for accelerating the convergence of Fourier series, The \(HD\) and \(H\bar D\) methods for accelerating the convergence of three-center nuclear attraction and four-center two-electron Coulomb integrals over \(B\) functions and their convergence properties, Bessel, sine and cosine functions and extrapolation methods for computing molecular multi-center integrals, Asymptotic analysis of a generalized Richardson extrapolation process on linear sequences, Extended procedures for extrapolation to the limit, Computation of loop integrals using extrapolation, On rates of acceleration of extrapolation methods for oscillatory infinite integrals, Efficient and rapid evaluation of three-center two electron Coulomb and hybrid integrals using nonlinear transformations., Indefinite integration of oscillatory functions by the Chebyshev series expansion, Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge, Scalar Levin-type sequence transformations, The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation, Convergence acceleration methods: The past decade, New convergence results on the generalized Richardson extrapolation process GREP$^{(1)}$ for logarithmic sequences