KMS Of Academy of mathematics and systems sciences, CAS
| Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers | |
Xu, Mingyu
| |
| 2011-10-15 | |
| 发表期刊 | JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
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| ISSN | 0377-0427 |
| 卷号 | 236期号:6页码:1137-1154 |
| 摘要 | In this paper we study different algorithms for reflected backward stochastic differential equations (BSDE in short) with two continuous barriers based on the framework of using a binomial tree to simulate 1-d Brownian motion. We introduce numerical algorithms by the penalization method and the reflected method, respectively. In the end simulation results are also presented. (C) 2011 Elsevier B.V. All rights reserved. |
| 关键词 | Backward stochastic differential equations with two continuous barriers Penalization method Discrete Brownian motion Numerical simulation |
| DOI | 10.1016/j.cam.2011.07.035 |
| 语种 | 英语 |
| 资助项目 | National Basic Research Program of China (973 Program)[2007CB814902] ; National Natural Science Foundation of China[10901152/A0110] ; AMSS ; CAS |
| WOS研究方向 | Mathematics |
| WOS类目 | Mathematics, Applied |
| WOS记录号 | WOS:000298271800011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/12720 |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Mingyu |
| 作者单位 | Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Key Lab Random Complex Struct & Data Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Mingyu. Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2011,236(6):1137-1154. |
| APA | Xu, Mingyu.(2011).Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,236(6),1137-1154. |
| MLA | Xu, Mingyu."Numerical algorithms and simulations for reflected backward stochastic differential equations with two continuous barriers".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 236.6(2011):1137-1154. |
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