イワツ　レイマ   IWATSU Reima   岩津　玲磨    所属   東京電機大学  工学部 機械工学科    東京電機大学大学院  先端科学技術研究科 機械システム工学専攻    東京電機大学大学院  工学研究科 機械工学専攻    職種   教授
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	査読有り
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,pp.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