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Two-step family of "Look-ahead" linear multistep method for ODEs
https://doi.org/10.14988/pa.2017.0000012522
https://doi.org/10.14988/pa.2017.00000125220bf14df1-4471-456a-b1f3-11e2a1175f23
名前 / ファイル | ライセンス | アクション |
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||||||||||||
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公開日 | 2011-11-16 | |||||||||||||||
タイトル | ||||||||||||||||
言語 | en | |||||||||||||||
タイトル | Two-step family of "Look-ahead" linear multistep method for ODEs | |||||||||||||||
言語 | ||||||||||||||||
言語 | eng | |||||||||||||||
キーワード | ||||||||||||||||
主題 | 数値解法, 離散変数法, 予測子・修正子反復, 収束性, 安定性 numerical solution, discrete variable method, predictor-corrector iteration, convergency, stability |
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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 | departmental bulletin paper | |||||||||||||||
ID登録 | ||||||||||||||||
ID登録 | 10.14988/pa.2017.0000012522 | |||||||||||||||
ID登録タイプ | JaLC | |||||||||||||||
アクセス権 | ||||||||||||||||
アクセス権 | open access | |||||||||||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||||
著者 |
三井, 斌友
× 三井, 斌友
WEKO
16143
× ヤクブ, ダウダ グリブル
WEKO
17895
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著者所属(英) | ||||||||||||||||
en | ||||||||||||||||
Mitsui, Taketomo / Department of Mathematical Science, Faculty of Science & Engineering, Doshisha University | ||||||||||||||||
著者所属(英) | ||||||||||||||||
en | ||||||||||||||||
Yakubu, Dauda Gulibur / Mathematical Science Programme, Abubakar Tafawa Balewa University | ||||||||||||||||
抄録 | ||||||||||||||||
内容記述タイプ | Abstract | |||||||||||||||
内容記述 | 先読み線型多段階法 (LALMM) のうち2段階法の族を定式化し,解析した.LALMM は常微分方程式の初期値問題に対する離散変数法の新たなクラスである.予測子・修正子の組み合わせから成る2つの4次2段階法を導出し,その A(Θ) 安定性を示している.導出された2段階法は,LALMM のさらなる発展の基礎を提供するものである. | |||||||||||||||
言語 | ja | |||||||||||||||
抄録 | ||||||||||||||||
内容記述タイプ | Abstract | |||||||||||||||
内容記述 | A family of two-step "look-ahead" linear multistep methods (LALMM) is formulated and analysed. LALMM is a new class of discrete variable methods for numerical solution of initial-value problem of ordinary differential equations (ODEs). Two fourth-order pairs of predictor and corrector are derived and showed to be A(Θ)-stable. The obtained schemes provide the basis for futher developement of LALMM. | |||||||||||||||
言語 | en | |||||||||||||||
書誌情報 |
ja : 同志社大学理工学研究報告 en : The Science and Engineering Review of Doshisha University 巻 52, 号 3, p. 181-188, 発行日 2011-10-31 |
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出版者 | ||||||||||||||||
言語 | ja | |||||||||||||||
出版者 | 同志社大学理工学研究所 | |||||||||||||||
出版者(英) | ||||||||||||||||
言語 | en | |||||||||||||||
出版者 | Science and Engineering Research Institute of Doshisha University | |||||||||||||||
ISSN | ||||||||||||||||
収録物識別子タイプ | PISSN | |||||||||||||||
収録物識別子 | 00368172 | |||||||||||||||
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収録物識別子タイプ | NCID | |||||||||||||||
収録物識別子 | AN00165868 | |||||||||||||||
権利者情報 | ||||||||||||||||
権利者名 | 同志社大学理工学研究所 | |||||||||||||||
言語 | ja | |||||||||||||||
権利者名 | Science and Engineering Research Institute of Doshisha University | |||||||||||||||
言語 | en | |||||||||||||||
関連サイト | ||||||||||||||||
関連タイプ | isFormatOf | |||||||||||||||
識別子タイプ | URI | |||||||||||||||
関連識別子 | https://doors.doshisha.ac.jp/opac/opac_link/bibid/SB00960326/?lang=0 | |||||||||||||||
言語 | ja | |||||||||||||||
関連名称 | 掲載刊行物所蔵情報へのリンク / Link to Contents | |||||||||||||||
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内容記述タイプ | Other | |||||||||||||||
内容記述 | application/pdf | |||||||||||||||
出版タイプ | ||||||||||||||||
出版タイプ | VoR | |||||||||||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||
日本十進分類法 | ||||||||||||||||
主題 | 413.62 |