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STOCHASTIC DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS: MARKOV PROPERTY, INVARIANT MEASURE AND NUMERICAL APPROXIMATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 页码: 43
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：97/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Social Optima in Robust Mean Field LQG Control: From Finite to Infinite Horizon 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 卷号: 66, 期号: 4, 页码: 1529-1544
作者:  Wang, Bing-Chang;  Huang, Jianhui;  Zhang, Ji-Feng
收藏  |  浏览/下载：160/0  |  提交时间：2021/06/01
Mathematical model  Games  Robustness  Uncertainty  Optimal control  Stochastic processes  Differential equations  Forward-backward stochastic differential equation (FBSDE)  linear quadratic optimal control  mean field control  model uncertainty  social functional variation  
AN EXPLICIT MULTISTEP SCHEME FOR MEAN-FIELD FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 25
作者:  Sun, Yabing;  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：109/0  |  提交时间：2022/04/02
Mean-field forward backward stochastic differential equations  Explicit multistep scheme  Error estimates  
Highly Accurate Numerical Schemes for Stochastic Optimal Control Via FBSDEs 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 296-319
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：144/0  |  提交时间：2020/05/24
Forward backward stochastic differential equations  stochastic optimal control  stochastic maximum principle  projected quasi-Newton methods  
A UNIFIED PROBABILISTIC DISCRETIZATION SCHEME FOR FBSDEs: STABILITY, CONSISTENCY, AND CONVERGENCE ANALYSIS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2351-2375
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：115/0  |  提交时间：2021/01/14
forward backward stochastic differential equations  numerical schemes  stability  consistency  convergence analysis  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：152/0  |  提交时间：2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
CONTROLLABILITY OF STOCHASTIC GAME-BASED CONTROL SYSTEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 卷号: 57, 期号: 6, 页码: 3799-3826
作者:  Zhang, Renren;  Guo, Lei
收藏  |  浏览/下载：150/0  |  提交时间：2020/09/23
noncooperative stochastic differential games  hierarchical structure  game-based control systems  Nash equilibrium  controllability  forward-backward stochastic differential equations  
The Navier-Stokes-alpha equation via forward-backward stochastic differential systems 期刊论文
STOCHASTICS-AN INTERNATIONAL JOURNAL OF PROBABILITY AND STOCHASTIC PROCESSES, 2018, 卷号: 90, 期号: 1, 页码: 1-28
作者:  Liu, Guoping
收藏  |  浏览/下载：136/0  |  提交时间：2018/07/30
Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
EFFICIENT SPECTRAL SPARSE GRID APPROXIMATIONS FOR SOLVING MULTI-DIMENSIONAL FORWARD BACKWARD SDES 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 卷号: 22, 期号: 9, 页码: 3439-3458
作者:  Fu, Yu;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：118/0  |  提交时间：2018/07/30
Spectral method  sparse grid approximations  forward backward stochastic differential equations  conditional expectations  fast Fourier transform  
Deferred Correction Methods for Forward Backward Stochastic Differential Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 222-242
作者:  Tang, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Deferred correction method  forward backward stochastic differential equations  Euler method  high-order scheme