The \(\varepsilon\)-algorithm allows to detect Dirac delta functions.

DOI10.1016/S0168-9274(03)00104-1zbMath1036.65003OpenAlexW1973643752MaRDI QIDQ1419853

Jacques Gacougnolle, Yvan Simon, Christian Guilpin

Publication date: 26 January 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00104-1

zbMATH Keywords

electrostaticsLegendre polynomialsIntegral equationDirac delta functionsDistributions\(\varepsilon\)-algorithm

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Operations with distributions and generalized functions (46F10) Extrapolation to the limit, deferred corrections (65B05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Electro- and magnetostatics (78A30)

Related Items (8)

On the mathematical nature of Guseinov's rearranged one-range addition theorems for Slater-type functions ⋮ Acceleration of convergence of general linear sequences by the Shanks transformation ⋮ Detecting derivative discontinuity locations in piecewise continuous functions from Fourier spectral data ⋮ Extrapolation algorithms for filtering series of functions, and treating the Gibbs phenomenon ⋮ Analysis of the ϵ-algorithm to accelerate the convergence ⋮ A survey of Shanks' extrapolation methods and their applications ⋮ Algebraic Fourier reconstruction of piecewise smooth functions ⋮ Complete algebraic reconstruction of piecewise-smooth functions from Fourier data

Cites Work

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• Extrapolation methods theory and practice
• Recursive computation of Padé-Legendre approximants and some acceleration properties.

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