ランダムな分布点での関数値に基づく一般化されたSimpson公式について

Material type: 文書・図像類

Author: 樋口, 功

Publisher: 愛知工業大学

Publication date: 2000-03-31

Material Format: Digital

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Note (General)：: The integration formulas of Newton-Cotes are given by the function-values at equally spaced abscissas. The Gaussian integration formulas are based on ...

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Material Type: 文書・図像類
Title: ランダムな分布点での関数値に基づく一般化されたSimpson公式について
Author/Editor: 樋口, 功
Author Heading: 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: ランダムナブンプテンデノカンスウチニモトズクイッパンカサレタ Simpson コウシキニツイテ
On the generalized Simpson's formula based on the function-values at random points
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: 23-31
ISSN (Periodical Title): ISSN : 0387-0804
Text Language Code: jpn
Target Audience: 一般
Note (General): The integration formulas of Newton-Cotes are given by the function-values at equally spaced abscissas. The Gaussian integration formulas are based on the values at nonequally spaced points distributed regularly by the orthogonal polynomials. On the other hand, it occurs often when we treat with the experimental data, that the calculation of integral must be done by using the values at random points in the interval. In this paper, we shall first establish the generalized Simpson's formula based on the data at irregularly distributed points. Next, we shall give the concrete form of the best formula having the highest order of accuracy in all the 3-points numerical integration formulas.
identifier:http://repository.aitech.ac.jp/dspace/handle/11133/1997
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