Approximation of backward stochastic partial differential equations by a splitting-up method
被引:5
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作者:
Li, Yunzhang
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Fudan Univ, Sch Math Sci, Dept Finance & Control Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Dept Finance & Control Sci, Shanghai 200433, Peoples R China
Li, Yunzhang
[1
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Tang, Shanjian
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Fudan Univ, Sch Math Sci, Dept Finance & Control Sci, Shanghai 200433, Peoples R ChinaFudan Univ, Sch Math Sci, Dept Finance & Control Sci, Shanghai 200433, Peoples R China
Tang, Shanjian
[1
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机构:
[1] Fudan Univ, Sch Math Sci, Dept Finance & Control Sci, Shanghai 200433, Peoples R China
This paper develops a splitting-up method to solution of backward stochastic parabolic partial differential equations. Both splitting equations are simpler for the numerical computations. Two different approximation schemes are given, and their convergence results are proved. The first-order convergence rate is proved in the linear case. (c) 2020 Elsevier Inc. All rights reserved.
机构:
Tianjin Univ, Sch Math, Tianjin 300072, Peoples R ChinaTianjin Univ, Sch Math, Tianjin 300072, Peoples R China
Yang, Xue
Zhang, Qi
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机构:
Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R ChinaTianjin Univ, Sch Math, Tianjin 300072, Peoples R China
Zhang, Qi
Zhang, Tusheng
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机构:
Univ Manchester, Sch Math, Manchester M13 9PL, Lancs, EnglandTianjin Univ, Sch Math, Tianjin 300072, Peoples R China
机构:
Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R ChinaBeijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
Zhou, Qing
Ren, Yong
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机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R ChinaBeijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
Ren, Yong
Wu, Weixing
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机构:
Univ Int Business & Econ, Res Ctr Appl Finance, Beijing 100029, Peoples R China
Univ Int Business & Econ, Sch Finance & Banking, Beijing 100029, Peoples R ChinaBeijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
机构:
Huzhou Univ, Dept Math Sci, Huzhou 313000, Zhejiang, Peoples R ChinaHuzhou Univ, Dept Math Sci, Huzhou 313000, Zhejiang, Peoples R China
Meng, Qingxin
Shen, Yang
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机构:
York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, CanadaHuzhou Univ, Dept Math Sci, Huzhou 313000, Zhejiang, Peoples R China
Shen, Yang
Shi, Peng
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机构:
Victoria Univ, Coll Engn & Sci, Melbourne, Vic 8001, Australia
Fujian Univ Technol, Fujian Prov Key Lab Big Data Min & Applicat, Fuzhou 350108, Fujian, Peoples R ChinaHuzhou Univ, Dept Math Sci, Huzhou 313000, Zhejiang, Peoples R China