On rates of acceleration of extrapolation methods for oscillatory infinite integrals

DOI10.1007/BF02017353zbMath0714.65021OpenAlexW1978996246MaRDI QIDQ751171

Avram Sidi

Publication date: 1990

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02017353

zbMATH Keywords

convergenceRichardson extrapolationD-transformationnonlinear extrapolation methodoscillatory infinite integralsrate of acceleration

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Survey of numerical stability issues in convergence acceleration ⋮ Computation of infinite integrals involving Bessel functions of arbitrary order by the \(\overline{D}\)-transformation ⋮ Extrapolation methods in numerical integration

Cites Work

• Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability
• 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
• An Algorithm for a Generalization of the Richardson Extrapolation Process
• Numerical Quadrature and Nonlinear Sequence Transformations; Unified Rules for Efficient Computation of Integrals with Algebraic and Logarithmic Endpoint Singularities
• Some Properties of a Generalization of the Richardson Extrapolation Process
• Extrapolation Methods for Oscillatory Infinite Integrals
• The Numerical Evaluation of Very Oscillatory Infinite Integrals by Extrapolation
• Development of non-linear transformations for improving convergence of sequences

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