| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2011 |
| 形態種別 | 学術研究論文 |
| 査読 | 査読あり |
| 標題 | Extremely accurate symplectic integration method with frequency dependent coefficients for wave equations |
| 執筆形態 | 共著 |
| 掲載誌名 | Theoretical and Applied Mechnics Japan |
| 出版社・発行元 | 日本学術会議 「機械工学委員会，土木工学・建築学委員会合同IUTAM分科会」 |
| 巻・号・頁 | 59,295-301 |
| 総ページ数 | 7 |
| 著者・共著者 | Reima IWATSU, Hideo TSURU |
| 概要 | A group of new methods is proposed for numerical simulation of acoustic problems. Symplectic trigonometric fitting (TF) methods have been proposed for the integration of harmonic oscillators and other oscillatory problems. TF methods are capable of integrating with practically no phase error. However, their application is limited to the cases where frequency of the system is known beforehand. In order to utilize the advantage of these methods, symplectic spectral TF method is proposed in the present study. By combining the advantage of small phase error and the spectral representation of the waves, the method is capable of integrating the wave equations with extremely high accuracy. Performance of the method is tested for benchmark problems. |
| researchmap用URL | https://doi.org/10.11345/nctam.59.295 |