Double-implicit and split two-step Milstein schemes for stochastic differential equations | |
Jiang, Fengze1; Zong, Xiaofeng2; Yue, Chao1; Huang, Chengming1 | |
刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
2016-12-01 | |
卷号 | 93期号:12页码:1987-2011 |
关键词 | double-implicit Milstein method split two-step Milstein method strong convergence exponential mean square stability |
ISSN号 | 0020-7160 |
DOI | 10.1080/00207160.2015.1081182 |
英文摘要 | In this work, we propose two classes of two-step Milstein-type schemes : the double-implicit Milstein scheme and the split two-step Milstein scheme, to solve stochastic differential equations (SDEs). Our results reveal that the two new schemes are strong convergent with order one. Moreover, with a restriction on stepsize, these two schemes can preserve the exponential mean square stability of the original SDEs, and the decay rate of numerical solution will converge to the decay rate of the exact solution. Numerical experiments are performed to confirm our theoretic findings. |
资助项目 | NSF of China[91130003] ; NSF of China[11371157] ; NSF of China[1422110] ; NSF of China[61473125] ; NSF of China[11301198] ; Fundamental Research Funds for the Central Universities[2013TS137] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | TAYLOR & FRANCIS LTD |
WOS记录号 | WOS:000389437900002 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24284] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Zong, Xiaofeng |
作者单位 | 1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Jiang, Fengze,Zong, Xiaofeng,Yue, Chao,et al. Double-implicit and split two-step Milstein schemes for stochastic differential equations[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2016,93(12):1987-2011. |
APA | Jiang, Fengze,Zong, Xiaofeng,Yue, Chao,&Huang, Chengming.(2016).Double-implicit and split two-step Milstein schemes for stochastic differential equations.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,93(12),1987-2011. |
MLA | Jiang, Fengze,et al."Double-implicit and split two-step Milstein schemes for stochastic differential equations".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS 93.12(2016):1987-2011. |
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