Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability

DOI10.1016/0377-0427(87)90041-0zbMath0634.41018OpenAlexW1963650052MaRDI QIDQ1096824

Avram Sidi

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90041-0

zbMATH Keywords

extrapolation procedureAbel summabilityW-transformation

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Approximate quadratures (41A55)

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Cites Work

• Unnamed Item
• An algorithm for a special case of a generalization of the Richardson extrapolation process
• Comparison of some methods for evaluating infinite range oscillatory integrals
• The evaluation of oscillatory integrals with infinite limits
• Spectral localization of operators in Banach spaces
• 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
• On a Device for Computing the e m (S n ) Transformation