1 0 0 0 OA 構造保存型差分解法のエネルギー法
- 著者
- 吉川 周二
- 出版者
- 一般社団法人 日本応用数理学会
- 雑誌
- 応用数理 (ISSN:24321982)
- 巻号頁・発行日
- vol.30, no.2, pp.2-9, 2020-06-24 (Released:2020-09-30)
- 参考文献数
- 9
The energy method to derive various properties of the solution from its energy-structure of the equations is one of the classical methods for partial differential equations. When the numerical scheme also possesses the energy-structure, the energy method can be applied to the scheme in the same way. In this article we introduce an application of energy method for the structure-preserving finite difference schemes through proofs of the existence of the solution and error estimate.
1 0 0 0 IR 最適速度モデルの数理的拡張
- 著者
- 玉城 龍洋 朝川 恭子 宮川 葉子 吉川 周二
- 出版者
- 宇部工業高等専門学校
- 雑誌
- 宇部工業高等専門学校研究報告 (ISSN:03864359)
- 巻号頁・発行日
- no.55, pp.9-11, 2009-03
We study the one-dimensional car following model with optimal velocity (OV model) which was proposed in [5]. The model consists of simple ordinally differential equations, but provides the essential property for queue dynamics arising in traffic jams. In this article, we propose the generalized version of OV model and give numerical results and some comments for our model.