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ラプラス逆変換の数値積分に関する一考察
https://setsunan.repo.nii.ac.jp/records/1021
https://setsunan.repo.nii.ac.jp/records/1021e3422b16-737f-470f-8314-5fda61d1f18d
名前 / ファイル | ライセンス | アクション |
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ラプラス逆変換の数値積分に関する一考察 (1.4 MB)
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Copyright (c) 2018 by Setsunan University
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2018-01-30 | |||||
タイトル | ||||||
タイトル | ラプラス逆変換の数値積分に関する一考察 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Note on Numerical Integration of the Inverse Laplace Transform | |||||
言語 | ||||||
言語 | jpn | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | ラプラス逆変換 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 数値積分 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 特異性 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 周期性 | |||||
キーワード | ||||||
主題Scheme | Other | |||||
主題 | 積分路 | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | Inverse Laplace transform | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | numerical integration | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | singularity | |||||
キーワード | ||||||
言語 | en | |||||
主題Scheme | Other | |||||
主題 | periodicity,contour of integration | |||||
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 | departmental bulletin paper | |||||
著者 |
植田, 芳昭
× 植田, 芳昭× 木田, 輝彦× UEDA, Yoshiaki× KIDA, Teruhiko |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | The Laplace transform is a useful tool for solving an unsteady partial differential equations. Instead, at the end of the analysis, the inverse Laplace transform of the solution is required and it unfortunately often remains in the integral representation where the integrand exhibits either a singularity or a periodicity (sometimes both) within the integral range. This study attempts to adequately arrange the integration, before the numerical quadrature, to avoid such difficult characteristics of the integrand. Within this benchmark test, some arrangements before the numerics with the use of Gaussian quadrature can be found to be effective for obtaining a nice value against an exact solution. | |||||
記事種別 | ||||||
論考 | ||||||
書誌情報 |
摂南大学 融合科学研究所論文集 en : Bulletin of the Transdisciplinary Science Research Institute, Setsunan University 巻 3, 号 1, p. 23-30, 発行日 2017-10 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 2432-5031 |