閉型4点近似積分公式の一般形と最高の精度を持つ公式について

Material type: 文書・図像類

Author: 兼岡, 宜由ほか

Publisher: 愛知工業大学

Publication date: 2000-03-31

Material Format: Digital

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Note (General)：: The celebrated first Simpson's rule is obtained approximately from the function-values at 3 points on the interval of integration. On the other hand, ...

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Material Type: 文書・図像類
Title: 閉型4点近似積分公式の一般形と最高の精度を持つ公式について
Author/Editor: 兼岡, 宜由
樋口, 功
Author Heading: 兼岡, 宜由
樋口, 功
Publication, Distribution, etc.: 愛知工業大学
Publication Date: 2000-03-31
Publication Date (W3CDTF): 2000-03-31
Alternative Title: ヘイケイ 4テンキンジセキブンコウシキノイッパンケイトサイコウノセイドオモツコウシキニツイテ
On the general form of the 4 points numerical integration of closed type and its best formula with highest accuracy
Periodical title: 愛知工業大学研究報告. A, 基礎教育系論文集 = Bulletin of Aichi Institute of Technology. Part A
No. or year of volume/issue: 35
Volume: 35
Pages: 11-22
ISSN (Periodical Title): ISSN : 0387-0804
Text Language Code: jpn
Target Audience: 一般
Note (General): The celebrated first Simpson's rule is obtained approximately from the function-values at 3 points on the interval of integration. On the other hand, the second Simpson's rule is based on the values at 4 points. And hence the latter may be expected to be slightly more accurate than the former. But acctually, the above two rules have the same order of accuracy. In this paper, we start dealing with the function-valuese at random interior points First, we shall derive the general form of the symmetric 4 points numerical integration formula of closed type with the same accuracy as that of the first or the second Simpson'rule. Next we discuss widely the 4 points integration formula not necessarily symmetric. And finally we shall give the concrete form of the best formula having the highest order of accuracy in all the 4 points numerical integration formulas.
identifier:http://repository.aitech.ac.jp/dspace/handle/11133/1991
Access Restrictions: 限定公開
Periodical Title (NCID): AN10455660
https://ci.nii.ac.jp/ncid/AN10455660
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