Parallelizable Block Rosenbrock Methods for Linear Variable - coefficient System of ODEs

• Item type: Trans(1)
• 公開日: 2004-10-15
• タイトル: Parallelizable Block Rosenbrock Methods for Linear Variable - coefficient System of ODEs
• タイトル / 言語: en
• タイトル: Parallelizable Block Rosenbrock Methods for Linear Variable - coefficient System of ODEs
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: アルゴリズム・数値計算
• 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: journal article
• 著者所属: Toyota National College of Technology
• 著者所属: Graduate School of Information Science Nagoya University
• 著者所属(英): en
• 著者所属(英): Toyota National College of Technology
• 著者所属(英): en
• 著者所属(英): Graduate School of Information Science, Nagoya University
• 著者名: Nobuyuki, Esaki; Taketomo, Mitsui
• 著者名(英): Nobuyuki, Esaki; Taketomo, Mitsui
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: In the previous paper (Esaki and Mitsui 2001) we proposed parallelizable ROW-type discretization methods to apply to a linear variable-coefficient system of ODEs. They showed good performance on the parallel computing system but since the maximum order cannot exceed three they are considered not to be much practical. In the present paper we develop a generalized implicit Runge-Kutta method and its block upper-triangular form named as a block Rosenbrock method and derive a parallelizable one. Order analysis global convergence and stability analysis are carried out for the fourth order scheme of the new method. Numerical experiments show its practicality under a parallel computer environment by comparing other conventional methods.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: In the previous paper (Esaki and Mitsui, 2001), we proposed parallelizable ROW-type discretization methods to apply to a linear variable-coefficient system of ODEs. They showed good performance on the parallel computing system, but, since the maximum order cannot exceed three, they are considered not to be much practical. In the present paper, we develop a generalized implicit Runge-Kutta method and its block upper-triangular form, named as a block Rosenbrock method, and derive a parallelizable one. Order analysis, global convergence and stability analysis are carried out for the fourth order scheme of the new method. Numerical experiments show its practicality under a parallel computer environment by comparing other conventional methods.
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AA11833852
• 書誌情報: 情報処理学会論文誌コンピューティングシステム（ACS）; 巻 45, 号 SIG11(ACS7), p. 290-302, 発行日 2004-10-15
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-7829
• 出版者 / 言語: ja
• 出版者: 情報処理学会