{"links":{},"id":29993,"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00029993","sets":["1164:2240:2331:2335"]},"path":["2335"],"owner":"1","recid":"29993","title":["陰的ルンゲ・クッタ法と偏微分方程式"],"pubdate":{"attribute_name":"公開日","attribute_value":"1992-06-05"},"_buckets":{"deposit":"d00a28c2-4997-4ddc-a114-70f131d1ad56"},"_deposit":{"id":"29993","pid":{"type":"depid","value":"29993","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"陰的ルンゲ・クッタ法と偏微分方程式","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"陰的ルンゲ・クッタ法と偏微分方程式"},{"subitem_title":"AN IMPLICIT RUNGE - KUTTA METHOD AND PARTIAL DIFFERENTIAL EQUATIONS","subitem_title_language":"en"}]},"item_type_id":"4","publish_date":"1992-06-05","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"電気通信大学　情報工学科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Computer Science & Information Mathematics The University of Electro - Communications","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/29993/files/IPSJ-HPC92041001.pdf"},"date":[{"dateType":"Available","dateValue":"1994-06-05"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-HPC92041001.pdf","filesize":[{"value":"795.5 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":"ffe6c3cf-c992-4562-b253-b03d15e38585","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 1992 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"小藤, 俊幸"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Toshiyuki, Koto","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_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"2段ガウス公式を，半線形偏微分方程式(）の初期値・境界値問題に対する差分スキムにおける時間変数の近似に用いる際の特性，ならびに実現方式について考察する．B収束の理論が示唆するように，同公式を用いたPDEスキムは，時間変数に関して2次精度にしかならないことが多い．本稿では，全離散近似の誤差を精密に評価することを通じ，同スキムが時間変数に関し4次精度となるための十分条件を与える．さらに，公式計算に現れる非線形方程式系の解決として，ヤコビ行列の線形化行列を用いた修正ニュートン法を考察し，PDEスキムの効率的な実現方式について論じる．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"We consider the application of the 2-stage Gauss formula to evolutional problems in semi-linear partial differential equations (PDEs). We study the fully discrete error of a difference scheme for PDEs constructed from a space discretization by a finite difference and a time discretization by the Gauss formula, and derive a sufficient condition for the PDE scheme to attain 4th-order accuracy with respect to the time variable. We also discuss an efficient implementaion of the scheme on the basis of a convergence property of a modified Newton method applied to the nonlinear equations which appear in the evaluation of the formula.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"8","bibliographic_titles":[{"bibliographic_title":"情報処理学会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":"1992-06-05","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"46(1992-HPC-041)","bibliographicVolumeNumber":"1992"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"created":"2025-01-18T22:59:41.989956+00:00","updated":"2025-01-22T17:16:31.250595+00:00"}