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体分布多重調和関数を用いた補間および多次元数値積分法
https://kindai.repo.nii.ac.jp/records/1278
https://kindai.repo.nii.ac.jp/records/12789ee839db-2090-4e68-97b8-98e3bacb4210
名前 / ファイル | ライセンス | アクション |
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AN10367166-20040925-0165.pdf (6.8 MB)
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Item type | ☆学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2011-02-24 | |||||
タイトル | ||||||
タイトル | 体分布多重調和関数を用いた補間および多次元数値積分法 | |||||
その他(別言語等)のタイトル | ||||||
その他のタイトル | Interpolation and Multiple Numerical Integration Using Polyharmonic Function of Volume Distribution | |||||
著者 |
落合, 芳博
× 落合, 芳博 |
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言語 | ||||||
言語 | jpn | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) | ||||||
en | ||||||
OCHIAI, Yoshihiro | ||||||
著者 所属 | ||||||
近畿大学理工学部第二部機械工学科 | ||||||
著者所属(翻訳) | ||||||
Department of Electrical and Mechanical Engineering, Kinki University | ||||||
版 | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||
出版者 名前 | ||||||
出版者 | 日本応用数理学会 | |||||
書誌情報 |
日本応用数理学会論文誌 en : Transactions of the Japan Society for Industrial and Applied Mathematics 巻 14, 号 3, p. 165-177, 発行日 2004-09-01 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 09172246 | |||||
識別番号 その他 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 110001878253 | |||||
抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | [Abstract]This paper presents an interpolation method and a numerical multiple integration using the boundary integral equations and a polyharmonic function of volume distribution. In the method using B-spline, points must be assigned in a gridiron layout. In the presented method using the polyharmonic function of volume distribution, arbitrary points can be assigned instead of using a gridiron layout, therefore it becomes easy to interpolate. This method requires a boundary geometry of the region and arbitrary internal points. The values at arbitrary point and the integral value are calculated after solving the discretized boundary integral equations. In order to investigate the efficiency of this method, several examples are given. Especially, a use of the polyharmonic function of volume distribution is effective for the three-dimensional case. The advantages of using the polyharmonic function of volume distribution are the decrease of CPU time and the stability of the interpolation. | |||||
内容記述 | ||||||
内容記述タイプ | Other | |||||
内容記述 | Copyright (c) 2004 日本応用数理学会 , 本文データは学協会の許諾に基づきCiNiiから複製したものである | |||||
資源タイプ | ||||||
内容記述タイプ | Other | |||||
内容記述 | Journal Article | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf |