複合多項式とその計算法

Material type: 文書・図像類

Author: 秦野, 和郎ほか

Publisher: 愛知工業大学

Publication date: 1989-03-31

Material Format: Digital

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Note (General)：: Truncation of Fourier series causes Gibb's phenomenon, that is, undesirable oscillations occur near both ends and discontinuous points. To eliminate t...

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Material Type: 文書・図像類
Title: 複合多項式とその計算法
Author/Editor: 秦野, 和郎
竹松, 英夫
Author Heading: 秦野, 和郎
竹松, 英夫
Publication, Distribution, etc.: 愛知工業大学
Publication Date: 1989-03-31
Publication Date (W3CDTF): 1989-03-31
Alternative Title: フクゴウタコウシキトソノケイサンホウ
Composite Polynomials and its Computational Method
Periodical title: 愛知工業大学研究報告. B, 専門関係論文集 = Bulletin of Aichi Institute of Technology. Part B
No. or year of volume/issue: 24
Volume: 24
Pages: 9-20
ISSN (Periodical Title): ISSN : 0387-0812
Text Language Code: jpn
Target Audience: 一般
Note (General): Truncation of Fourier series causes Gibb's phenomenon, that is, undesirable oscillations occur near both ends and discontinuous points. To eliminate this, smoothing by Lanczos σ-factor is used. But, this method gives not so good results in many cases. It is well known that truncated Fourier series do not always converge uniformly to associated function. In this monograph, we present a new method to accelerate the convergence of Fourier series which converges slowly. This is composed of truncated Fourier series and some polynomials. Then we call this "composite polynomials". The computational methods of composite polynomial is also shown with FORTRAN subprograms.
identifier:http://repository.aitech.ac.jp/dspace/handle/11133/803
Access Restrictions: 限定公開
Periodical Title (NCID): AN00007801
https://ci.nii.ac.jp/ncid/AN00007801
Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
https://irdb.nii.ac.jp
Original Data Provider (Database): 愛知工業大学 : 愛知工業大学学術情報リポジトリ