Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments | |
Geng, Yidan1; Song, Minghui1; Lu, Yulan2; Liu, Mingzhu1 | |
刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS |
2021-02-01 | |
卷号 | 14期号:1页码:194-218 |
关键词 | Stochastic differential equations with piecewise continuous argument local Lipschitz condition Khasminskii-type condition truncated Euler-Maruyama method convergence and stability |
ISSN号 | 1004-8979 |
DOI | 10.4208/nmtma.OA-2019-0108 |
英文摘要 | In this paper, we develop the truncated Euler-Maruyama (EM) method for stochastic differential equations with piecewise continuous arguments (SDEPCAs), and consider the strong convergence theory under the local Lipschitz condition plus the Khasminskii-type condition. The order of convergence is obtained. Moreover, we show that the truncated EM method can preserve the exponential mean square stability of SDEPCAs. Numerical examples are provided to support our conclusions. |
资助项目 | National Natural Science Foundation of China[11671113] ; National Postdoctoral Program for Innovative Talents[BX20180347] |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | GLOBAL SCIENCE PRESS |
WOS记录号 | WOS:000595073600008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52534] |
专题 | 中国科学院数学与系统科学研究院 |
通讯作者 | Song, Minghui |
作者单位 | 1.Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
推荐引用方式 GB/T 7714 | Geng, Yidan,Song, Minghui,Lu, Yulan,et al. Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2021,14(1):194-218. |
APA | Geng, Yidan,Song, Minghui,Lu, Yulan,&Liu, Mingzhu.(2021).Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,14(1),194-218. |
MLA | Geng, Yidan,et al."Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 14.1(2021):194-218. |
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