Technical Report CS0391

Title: Extrapolation Methods for Divergent Oscillatory Infinie Integrals that are Defined in the Sense of Summability
Authors: Avram Sidi
Abstract: In 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 oscillatorr infinite integrals in the present paper. It is shown in particular that these divergent integrals exist in thesense of Abel summability and that the W-transformation can be applied to them without any modifications. Convergence results are stated and numerical examples given.
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