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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
ISSN0377-0427
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
DOI10.1016/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
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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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