Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps
文献类型：期刊论文
| 作者 | Li, Min1; Huang, Chengming1,2; Chen, Ziheng3 |
| 刊名 | APPLIED MATHEMATICS AND COMPUTATION
 |
| 出版日期 | 2021-03-15 |
| 卷号 | 393页码:11 |
| 关键词 | Stochastic differential equations with jumps Compensated projected Euler-Maruyama method Mean square convergence C-stability B-consistency |
| ISSN号 | 0096-3003 |
| DOI | 10.1016/j.amc.2020.125760 |
| 英文摘要 | In this paper, we present and analyze a compensated projected Euler-Maruyama method for stochastic differential equations with jumps. A mean square convergence result is derived under a coupled condition. This condition and some reasonable assumptions admit that the jump and diffusion coefficients can be superlinear. Moreover, since the Poisson increment has different moment properties from the Brownian increment, some new techniques are developed for convergence analysis. Finally, some numerical experiments are carried out to confirm the theoretical results. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11771163] ; National Natural Science Foundation of China[12011530058] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000600775400014 |
| 出版者 | ELSEVIER SCIENCE INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57879]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Huang, Chengming |
| 作者单位 | 1.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China 2.Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China 3.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 | Li, Min,Huang, Chengming,Chen, Ziheng. Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps[J]. APPLIED MATHEMATICS AND COMPUTATION,2021,393:11. |
| APA | Li, Min,Huang, Chengming,&Chen, Ziheng.(2021).Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps.APPLIED MATHEMATICS AND COMPUTATION,393,11. |
| MLA | Li, Min,et al."Compensated projected Euler-Maruyama method for stochastic differential equations with superlinear jumps".APPLIED MATHEMATICS AND COMPUTATION 393(2021):11. |
入库方式： OAI收割
来源：数学与系统科学研究院
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