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An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code
http://hdl.handle.net/10098/0002000110
http://hdl.handle.net/10098/00020001105761c97d-ca27-4d90-9499-554365970fe6
名前 / ファイル | ライセンス | アクション |
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BD10126665.pdf (441 KB)
Download is available from 2026/2/1.
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Item type | 学術雑誌論文 / Journal Article(1) | |||||||||
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公開日 | 2024-02-02 | |||||||||
タイトル | ||||||||||
言語 | en | |||||||||
タイトル | An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code | |||||||||
言語 | ||||||||||
言語 | eng | |||||||||
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 | |||||||||
アクセス権 | ||||||||||
アクセス権 | embargoed access | |||||||||
アクセス権URI | http://purl.org/coar/access_right/c_f1cf | |||||||||
著者 |
Hasegawa, Takemitsu
× Hasegawa, Takemitsu
× Sugiura, Hiroshi
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抄録 | ||||||||||
内容記述タイプ | Abstract | |||||||||
内容記述 | For the integral of a function f over a semi-infinite interval [0.∞) with f(x) decaying exponentially as x→∞ , an automatic quadrature scheme is constructed and implemented in Matlab. Three limit formulae of Clenshaw–Curtis-type rules in our recent work (Numerical Algorithms, vol.90, 2022, pp.3–30) are exploited that converge fast for analytic functions. Each formula is expressed by a weighted infinite sum of function values at nodes and so its truncated finite sum is used. The best of the three formulae in accuracy is used as an approximation whose error is estimated with other two formulae and no additional function evaluations, since nodes of the other formulae are included in those of the best one. Numerical results indicate that our automatic scheme is better in performance than the QUADPACK routine for several types of test integrals. Particularly, it copes quite well with oscillatory integrals including the sinusoidal function and/or the Bessel function that are known to be difficult to approximate. | |||||||||
言語 | en | |||||||||
書誌情報 |
en : Journal of Computational and Applied Mathematics 巻 437, p. 115450, 発行日 2024-02 |
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言語 | en | |||||||||
出版者 | Elsevier | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | PISSN | |||||||||
収録物識別子 | 0377-0427 | |||||||||
ISSN | ||||||||||
収録物識別子タイプ | EISSN | |||||||||
収録物識別子 | 1879-1778 | |||||||||
DOI | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | DOI | |||||||||
関連識別子 | https://doi.org/10.1016/j.cam.2023.115450 | |||||||||
関連サイト | ||||||||||
関連タイプ | isVersionOf | |||||||||
識別子タイプ | URI | |||||||||
関連識別子 | https://www.sciencedirect.com/science/article/abs/pii/S0377042723003941 | |||||||||
言語 | en | |||||||||
関連名称 | Science Direct | |||||||||
著者版フラグ | ||||||||||
出版タイプ | AM | |||||||||
出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||||||
その他のID | ||||||||||
ja | ||||||||||
TD10126664 |