Extrapolation methods and derivatives of limits of sequences

DOI10.1090/S0025-5718-99-01169-2zbMath0947.65001MaRDI QIDQ4700199

Avram Sidi

Publication date: 1 November 1999

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

convergenceasymptotic behaviornumerical integrationnumerical examplesextrapolation methodRichardson extrapolationinfinite sequencesendpoint singularities

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Extrapolation to the limit, deferred corrections (65B05) Numerical quadrature and cubature formulas (65D32) Approximation to limiting values (summation of series, etc.) (40A25)

Related Items

Survey of numerical stability issues in convergence acceleration ⋮ An algorithm for the finite difference approximation of derivatives with arbitrary degree and order of accuracy ⋮ The triaxiality role in the spin-orbit dynamics of a rigid body ⋮ The generalized Richardson extrapolation process GREP\(^{(1)}\) and computation of derivatives of limits of sequences with applications to the \(d^{(1)}\)-transformation

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