| タイトル | Mappings and accuracy for Chebyshev pseudo-spectral approximations |
| 本文（外部サイト） | http://hdl.handle.net/2060/19910005468 |
| 著者（英） | Turkel, Eli; Bayliss, Alvin |
| 著者所属（英） | NASA Lewis Research Center |
| 発行日 | 1990-12-01 |
| 言語 | eng |
| 内容記述 | The effect of mappings on the approximation, by Chebyshev collocation, of functions which exhibit localized regions of rapid variation is studied. A general strategy is introduced whereby mappings are adaptively constructed which map specified classes of rapidly varying functions into low order polynomials which can be accurately approximated by Chebyshev polynomial expansions. A particular family of mappings constructed in this way is tested on a variety of rapidly varying functions similar to those occurring in approximations. It is shown that the mapped function can be approximated much more accurately by Chebyshev polynomial approximations than in physical space or where mappings constructed from other strategies are employed. |
| NASA分類 | NUMERICAL ANALYSIS |
| レポートNO | 91N14781
ICOMP-90-24
NASA-TM-103630
E-5798
NAS 1.15:103630 |
| 権利 | No Copyright |
| URI | https://repository.exst.jaxa.jp/dspace/handle/a-is/134810 |
