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This paper is dedicated to solving high-dimensional coupled FBSDEs with non-Lipschitz diffusion coefficients numerically.
Toshio Yamada and Shinzo Watanabe, On the uniqueness of solutions of stochastic differential equations , Journal of Mathematics of Kyoto University 11
1971
Earlier work this paper cites.
Shige Peng, Probabilistic interpretation for systems of quasilinear parabolic partial differential equations , Stochastics and Stochastics Reports (Print) 37
1991
Earlier work this paper cites.
Jin Ma, Philip Protter, and Jiongmin Yong, Solving forward-backward stochastic differential equations explicitly—a four step scheme , Probability Theory and Related Fields 98
1994
Earlier work this paper cites.
Griselda Deelstra and Freddy Delbaen, Convergence of discretized stochastic (interest rate) processes with stochastic drift term , Applied Stochastic Models and Data Analysis 14
1998
Earlier work this paper cites.
Jin Ma, J-M Morel, and Jiongmin Yong, Forward-backward stochastic differential equations and their applications , no. 1702, Springer Science & Business Media, 1999
1999
Earlier work this paper cites.
Etienne Pardoux and Shanjian Tang, Forward-backward stochastic differential equations and quasilinear parabolic pdes , Probability Theory and Related Fields 114
1999
Cited alongside, same era.
Shige Peng and Zhen Wu, Fully coupled forward-backward stochastic differential equations and applications to optimal control , SIAM Journal on Control and Optimization 37
1999
Cited alongside, same era.
John C Cox, Jonathan E Ingersoll Jr, and Stephen A Ross, A theory of the term structure of interest rates , Theory of Valuation, World Scientific, 2005, pp. 129–164
2005
Cited alongside, same era.
Jaksa Cvitanic and Jianfeng Zhang, The steepest descent method for forward-backward sdes , Electronic Journal of Probability 10
2005
Cited alongside, same era.
Steffen Dereich, Andreas Neuenkirch, and Lukasz Szpruch, An euler-type method for the strong approximation of the cox–ingersoll–ross process , Proceedings of the Royal Society A 468
Aurelien Alfonsi, Affine diffusions and related processes: simulation, theory and applications , Bocconi & Springer Series 6, Bocconi University Press, 2015
2015
Later among the works it cites.
Weinan E, Jiequn Han, and Arnulf Jentzen, Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations , Communications in Mathematics and Statistics 5
2017
Later among the works it cites.
2017
Later among the works it cites.
Jiequn Han and Jihao Long, Convergence of the deep bsde method for coupled fbsdes , Probability, Uncertainty and Quantitative Risk 5
2020
Later among the works it cites.
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2012
Cited alongside, same era.
Shaolin Ji, Shige Peng, Ying Peng, and Xichuan Zhang, Three algorithms for solving high-dimensional fully coupled fbsdes through deep learning , IEEE Intelligent Systems 35
2020
Later among the works it cites.