{"links":{},"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00211873","sets":["1164:2240:10556:10628"]},"path":["10628"],"owner":"44499","recid":"211873","title":["Hadamardの有限部分積分の数値積分"],"pubdate":{"attribute_name":"公開日","attribute_value":"2021-07-13"},"_buckets":{"deposit":"131e9f02-c799-4811-8568-d651a2883042"},"_deposit":{"id":"211873","pid":{"type":"depid","value":"211873","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Hadamardの有限部分積分の数値積分","author_link":["539210","539207","539208","539209"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hadamardの有限部分積分の数値積分"},{"subitem_title":"Numerical Integration of Hadamard Finite-part Integrals","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"数値計算","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2021-07-13","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"神奈川工科大学創造工学部自動車システム開発工学科"},{"subitem_text_value":"神奈川工科大学創造工学部自動車システム開発工学科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Vehicle System Engineering, Faculty of Creative Engneering, Kanagawa Institute of Technology","subitem_text_language":"en"},{"subitem_text_value":"Department of Vehicle System Engineering, Faculty of Creative Engneering, Kanagawa Institute of Technology","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/211873/files/IPSJ-HPC21180005.pdf","label":"IPSJ-HPC21180005.pdf"},"date":[{"dateType":"Available","dateValue":"2023-07-13"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-HPC21180005.pdf","filesize":[{"value":"833.6 kB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"14"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"6ed1a29c-57ed-4618-97de-70d56ddaf578","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2021 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"平山, 弘"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"小宮, 聖司"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hiroshi, Hirayama","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Seiji, Komiya","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10463942","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"2188-8841","subitem_source_identifier_type":"ISSN"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"有限項で打ち切った Taylor 級数の四則演算および関数計算は，プログラミング言語を使って容易に行うことができる．C++言語や Fortran 等のオペラレーター・オーバーロード機能を使えば通常の計算のように容易に計算できる．このプログラムを使うと，これらのプログラミング言語で記述された関数は容易に Taylor 展開できる．Taylor 展開法を使うと Hadamard の有限部分積分は，解析的に計算できる複数の単純な Hadamard の有限部分積分と 1 個の Cauchy の主値積分および見かけ上の特異性を持つ正則な積分に分解できる．複数の単純な Hadamard の有限部分積分と 1 個の Cauchy の主値積分は，解析的に計算し，残りの見かけ上の特異性を持つ正則な積分を数値積分を適用して計算することによって，容易に計算できる．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"The arithmetic operations and function calculations for Taylor series truncated by finite terms, can be easily defined using programming languages. Using operator overload functions such as C ++ or Fortran makes it very easy to use. Using above program, functions written in these programming languages can easily be expanded into Taylor series. Using the Taylor expansion method, Hadamard finite-part integral can be decomposed into multiple simple Hadamard finite-part integrals, simple Cauchy principal value integrals, and a regular integral with apparent singularity. Multiple Simple Hadamard finite-part integration and Cauchy principal value integral are calculated analitically. A regular integral with apparent singularity is computed by numerical a integration method. By adding the above integration results, Hadamard finite-part can be obtained.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"7","bibliographic_titles":[{"bibliographic_title":"研究報告ハイパフォーマンスコンピューティング（HPC）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2021-07-13","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"5","bibliographicVolumeNumber":"2021-HPC-180"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"created":"2025-01-19T01:12:59.571322+00:00","updated":"2025-01-19T17:38:56.776270+00:00","id":211873}