2021年9月
An efficient weak Euler–Maruyama type approximation scheme of very high dimensional SDEs by orthogonal random variables
Mathematics and Computers in Simulation
- ,
- ,
- ,
- 巻
- 187
- 号
- 開始ページ
- 540
- 終了ページ
- 565
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.matcom.2021.03.010
- 出版者・発行元
- Elsevier BV
We will introduce Euler–Maruyama approximations given by an orthogonal system in $L^{2}[0,1]$ for high dimensional SDEs, which could be finite dimensional approximations of SPDEs. In general, the higher the dimension is, the more one needs to generate uniform random numbers at every time step in numerical simulation. The schemes proposed in this paper, in contrast, can deal with this problem by generating very few uniform random numbers at every time step. The schemes save time in the simulation of very high dimensional SDEs. In particular, we conclude that an Euler–Maruyama approximation based on the Walsh system is efficient in high dimensions.
- リンク情報
- ID情報
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- DOI : 10.1016/j.matcom.2021.03.010
- ISSN : 0378-4754
- SCOPUS ID : 85103685624