{"created":"2024-02-08T01:27:52.644679+00:00","id":2000113,"links":{},"metadata":{"_buckets":{"deposit":"3e02213a-ae09-4431-8b21-e29ceca9a20d"},"_deposit":{"created_by":18,"id":"2000113","owner":"18","owners":[18],"pid":{"revision_id":0,"type":"depid","value":"2000113"},"status":"published"},"_oai":{"id":"oai:u-fukui.repo.nii.ac.jp:02000113","sets":["2403:2404"]},"author_link":[],"control_number":"2000113","item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-10-01","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"342","bibliographicPageStart":"327","bibliographicVolumeNumber":"358","bibliographic_titles":[{"bibliographic_title":"Journal of Computational and Applied Mathematics","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"For the finite Hilbert transform of oscillatory functions Q(f;c,ω)＝f^1_-1 f(x) e^iωx / (x－c) dt with a smooth function f  and real ω ≠ 0, for c ∈ (-1,1) in the sense of Cauchy principal value or for c=±1 of Hadamard finite-part, we present an approximation method of Clenshaw–Curtis type and its algorithm. Interpolating f  by a polynomial pn of degree n and expanding in terms of the Chebyshev polynomials with O(n log n) operations by the FFT, we obtain an approximation Q(pn;c,ω) ≅ Q(f;c,ω). We write Q(pn;c,ω) as a sum of the sine and cosine integrals and an oscillatory integral of a polynomial of degree n－1. We efficiently evaluate the oscillatory integral with a combination of authors’ previous method and Keller’s method. For f(z)  analytic on the interval ［-1,1］in the complex plane z, the error of Q(pn;c,ω) is bounded uniformly with respect to c and ω. Numerical examples illustrate the performance of our method.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier","subitem_publisher_language":"en"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.cam.2019.02.012","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"関連サイト","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_language":"en","subitem_relation_name_text":"Science Direct"}],"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://www.sciencedirect.com/science/article/pii/S0377042719300858?via%3Dihub","subitem_relation_type_select":"URI"}}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0377-0427","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"1879-1778","subitem_source_identifier_type":"EISSN"}]},"item_10001_text_25":{"attribute_name":"その他のID","attribute_value_mlt":[{"subitem_text_language":"ja","subitem_text_value":"TD10126668"}]},"item_10001_textarea_24":{"attribute_name":"備考","attribute_value_mlt":[{"subitem_textarea_language":"ja","subitem_textarea_value":"Science Directにてオープンアーカイブ"}]},"item_10001_version_type_20":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hasegawa, Takemitsu","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"Sugiura, Hiroshi","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2024-02-08"}],"filename":"BD10126668.pdf","filesize":[{"value":"673 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"url":"https://u-fukui.repo.nii.ac.jp/record/2000113/files/BD10126668.pdf"},"version_id":"286da899-80d5-4eea-b37d-18d024972ea9"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"quadrature rule","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Principal value integral","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Oscillatory function","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Chebyshev interpolation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Error analysis","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Uniform approximation","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"18","path":["2404"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2024-02-08"},"publish_date":"2024-02-08","publish_status":"0","recid":"2000113","relation_version_is_last":true,"title":["Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm"],"weko_creator_id":"18","weko_shared_id":-1},"updated":"2024-02-14T04:44:02.834943+00:00"}