TR#: | CS0391 |
Class: | CS |
Title: | Extrapolation Methods for Divergent Oscillatory Infinie Integrals that are Defined in the Sense of Summability |
Authors: | Avram Sidi |
CS0391.pdf | |
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. |
Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
Remark: Any link to this technical report should be to this page (http://www.cs.technion.ac.il/users/wwwb/cgi-bin/tr-info.cgi/1985/CS/CS0391), rather than to the URL of the PDF files directly. The latter URLs may change without notice.
To the list of the CS technical reports of 1985
To the main CS technical reports page