{"links":{},"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00016110","sets":["581:906:907"]},"path":["907"],"owner":"1","recid":"16110","title":["6個の関数計算による実質的6次のRunge - Kutta法"],"pubdate":{"attribute_name":"公開日","attribute_value":"1982-11-15"},"_buckets":{"deposit":"a581b2f5-326b-450f-9ef0-3b51f853381a"},"_deposit":{"id":"16110","pid":{"type":"depid","value":"16110","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"6個の関数計算による実質的6次のRunge - Kutta法","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"6個の関数計算による実質的6次のRunge - Kutta法"},{"subitem_title":"Runge - Kutta Formula of Substantially Sixth - order, with Six Evaluations","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"論文","subitem_subject_scheme":"Other"}]},"item_type_id":"2","publish_date":"1982-11-15","item_2_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"東京都立農芸高等学校"},{"subitem_text_value":"千葉大学工学部"}]},"item_2_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Tokyo Metropolitan Nogei Agricultural Upper Secondary School","subitem_text_language":"en"},{"subitem_text_value":"Faculty of Engineering, Chiba University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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/16110/files/IPSJ-JNL2306003.pdf"},"date":[{"dateType":"Available","dateValue":"1984-11-15"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-JNL2306003.pdf","filesize":[{"value":"503.2 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":"8"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"10ebf4ee-f51e-4745-9699-68c60f6b0c61","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 1982 by the Information Processing Society of Japan"}]},"item_2_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"小野, 令美"},{"creatorName":"戸田, 英雄"}],"nameIdentifiers":[{}]}]},"item_2_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Harumi, Ono","creatorNameLang":"en"},{"creatorName":"Hideo, Toda","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_2_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00116647","subitem_source_identifier_type":"NCID"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_6501","resourcetype":"journal article"}]},"item_2_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1882-7764","subitem_source_identifier_type":"ISSN"}]},"item_2_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"1階常微分方程式の初期値問題dy/dx=f(x y) y(x_0)=y_0の6段Kutta型公式y_<n+1>=y_n+㊥^^6__<i=1>μ_ik_i k_1=hf(x_n y_n) k_i=hf(x_n+a_ih y_n+㊥^^<i-1>__<j=1>β_<ij>k_j) i=2 … 6 では Ο(h^5)までの誤差を0にする いわゆる5次の公式しか得られない.この公式を式変形し f_x f_yを用いることにより6次の公式が導かれる(6次の極限公式とよぶ).この極限公式において f_x f_yを用いて求めた値はあまり精度が要らない.そこで 式変形を行うだけで そのまま計算する.極限公式では0にする値がεとして残るが このεをΟ(h^6)の誤差項の係数がΟ(h^7)の誤差項の係数に比べ無視できる程度となるように選ぶ.こうして得られたここに示す公式は 6個の関数計算だけを用いた6段公式で Ο(h^6)の誤差項の係数はΟ(h^7)のものに比べ無視できる程度に小さく しかもそのΟ(h^7)の誤差項の係数は 6段で達することのできる最良のものである極限公式とほぼ等しい.すなわち6個の関数計算だけによる実質的に6次で最も精度のよいものである.","subitem_description_type":"Other"}]},"item_2_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"607","bibliographic_titles":[{"bibliographic_title":"情報処理学会論文誌"}],"bibliographicPageStart":"599","bibliographicIssueDates":{"bibliographicIssueDate":"1982-11-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"6","bibliographicVolumeNumber":"23"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"updated":"2025-01-23T00:00:56.004529+00:00","created":"2025-01-18T22:49:28.410452+00:00","id":16110}