| TR#: | CS0837 |
| Class: | CS |
| Title: | REMARKS ON THE FOURIER-
GEGENBAUER METHOD. |
| Authors: | L. Vozovoi, M. Israeli and A. Averbuch |
| CS0837.pdf | |
| Abstract: | In this paper we investigate some numerical aspects of the Fourier-Gegenbauer method introduced in [1]. The asymptotic behavior of the Gegenbauer series is analyzed as well as the behavior of this series with small and moderate numbers of terms. A new criteria for obtaining an exponentially small truncation error is found. It is shown that the exponential convergence takes place only for the short-term Gegenbauer expansion. The computed Fourier-Gegenbauer expansion with a large number of terms exhibits the Gibbs phenomenon in spite of the fact that both the resolution and the truncation errors are exponentially small. |
| 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/1994/CS/CS0837), 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 1994
To the main CS technical reports page