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Blow-Up of Finite-Difference Solutions to Nonlinear Wave Equations
http://hdl.handle.net/2261/61488
http://hdl.handle.net/2261/61488a9425fb4-e414-4805-8ebc-877f907d5f0a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
jms230103.pdf (1.0 MB)
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| Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2017-01-25 | |||||
| タイトル | ||||||
| タイトル | Blow-Up of Finite-Difference Solutions to Nonlinear Wave Equations | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | Nonlinear wave equation | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | blow-up | |||||
| キーワード | ||||||
| 主題Scheme | Other | |||||
| 主題 | finite-difference method | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | departmental bulletin paper | |||||
| 著者 |
Saito, Norikazu
× Saito, Norikazu× Sasaki, Takiko |
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| 著者所属 | ||||||
| 著者所属 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | Finite-difference schemes for computing blow-up solutions of one dimensional nonlinear wave equations are presented. By applying time increments control technique, we can introduce a numerical blow-up time which is an approximation of the exact blowup time of the nonlinear wave equation. After having verified the convergence of our proposed schemes, we prove that solutions of those finite-difference schemes actually blow up in the corresponding numerical blow-up times.Then, we prove that the numerical blow-up time converges to the exact blow-up time as the discretization parameters tend to zero.Sev eral numerical examples that confirm the validity of our theoretical results are also offered. | |||||
| 書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 23, 号 1, p. 349-380, 発行日 2016-01-25 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13405705 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA11021653 | |||||
| 日本十進分類法 | ||||||
| 主題Scheme | NDC | |||||
| 主題 | 415 | |||||
| Mathematical Reviews Number | ||||||
| MR | ||||||
| Mathmatical Subject Classification | ||||||
| 35L71(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 35B44(MSC2010) | ||||||
| Mathmatical Subject Classification | ||||||
| 65M06(MSC2010) | ||||||
| 出版者 | ||||||
| 出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
| 原稿受領日 | ||||||
| 2014-07-22 | ||||||
