scientific article; zbMATH DE number 877618

zbMath0872.41014MaRDI QIDQ4877333

Guido Walz

Publication date: 12 May 1996

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convergence accelerationnumerical quadratureasymptotic expansionsasymptotic estimatesEuler-Maclaurin summation formulaconvergence theoryasymptotic systemssequence extrapolationlinear extraplation methodslinear extrapolation method

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Extrapolation to the limit, deferred corrections (65B05) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02) Numerical quadrature and cubature formulas (65D32) Approximation to limiting values (summation of series, etc.) (40A25) Euler-Maclaurin formula in numerical analysis (65B15) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02) Numerical methods for ordinary differential equations (65Lxx)

Related Items (13)

Experiments with range computations using extrapolation ⋮ Convergence acceleration algorithms related to a generalized E-transformation and its particular cases ⋮ Generalizations of Shanks transformation and corresponding convergence acceleration algorithms via Pfaffians ⋮ Numerical Solutions of Fractional Differential Equations by Extrapolation ⋮ Extensions of Drummond's process for convergence acceleration ⋮ Extrapolation methods for improving the convergence of oligomer calculations to the infinite chain limit of quasi-one-dimensional stereoregular polymers. ⋮ Acceleration of generalized hypergeometric functions through precise remainder asymptotics ⋮ Convergence acceleration during the 20th century ⋮ The extrapolated interval global optimization algorithm ⋮ Extended procedures for extrapolation to the limit ⋮ High order eigenvalues for the Helmholtz equation in complicated non-tensor domains through Richardson extrapolation of second order finite differences ⋮ Asymptotic expansions for multivariate polynomial approximation ⋮ Prediction proberties of Aitken's iterated \(\Delta^2\) process, of Wynn's epsilon algorithm, and of Brezinski's iterated theta algorithm

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