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Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summabilityIn a recent work by the author an extrapolation method, the W-transformation, was developed, by which a large class of oscillatory infinite integrals can be computed very efficiently. The results of this work are extended to a class of divergent oscillatory infinite integrals in the present paper. It is shown in particular that these divergent integrals exist in the sense of Abel summability and that the W-transformation can be applied to them without any modifications. Convergence results are stated and numerical examples given.
Document ID
19870048301
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Sidi, Avram
(NASA Lewis Research Center Cleveland, OH; Technion Israel Institute of Technology, Haifa, United States)
Date Acquired
August 13, 2013
Publication Date
February 1, 1987
Publication Information
Publication: Journal of Computational and Applied Mathematics
Volume: 17
ISSN: 0377-0427
Subject Category
Numerical Analysis
Accession Number
87A35575
Distribution Limits
Public
Copyright
Other

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