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A spectral method for stochastic fractional PDEs using dynamically-orthogonal/bi-orthogonal decomposition 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 461, 页码: 17
作者:  Zhao, Yue;  Mao, Zhiping;  Guo, Ling;  Tang, Yifa;  Karniadakis, George Em
收藏  |  浏览/下载：61/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Linearization of nonlinear Fokker-Planck equations and applications 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 322, 页码: 1-37
作者:  Ren, Panpan;  Roeckner, Michael;  Wang, Feng-Yu
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Nonlinear Fokker-Planck equation  McKean-Vlasov stochastic differential equation  Diffusion process  Ergodicity  Feynman-Kac formula  
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：103/0  |  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：174/0  |  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  
KALMAN-BUCY FILTERING AND MINIMUM MEAN SQUARE ESTIMATOR UNDER UNCERTAINTY 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 卷号: 59, 期号: 4, 页码: 2669-2692
作者:  Ji, Shaolin;  Kong, Chuiliu;  Sun, Chuanfeng;  Zhang, Ji-Feng
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
Kalman-Bucy filtering  minimum mean square estimator  drift uncertainty  convex operator  minimax theorem  backward stochastic differential equation  
Mean field linear-quadratic control: Uniform stabilization and social optimality 期刊论文
AUTOMATICA, 2020, 卷号: 121, 页码: 14
作者:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载：128/0  |  提交时间：2021/01/14
Mean field game  Variational analysis  Stabilization control  FBSDE  Riccati equation  
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：147/0  |  提交时间：2020/05/24
Forward backward stochastic differential equations  stochastic optimal control  stochastic maximum principle  projected quasi-Newton methods  
EXPLICIT theta-SCHEMES FOR MEAN-FIELD BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2672-2697
作者:  Sun, Yabing;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：153/0  |  提交时间：2018/10/07
mean-field backward stochastic differential equation  theta-schemes  error estimates  
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：144/0  |  提交时间：2018/07/30
Navier-Stokes-alpha equation  vorticity equation  forward-backward stochastic differential equations  Feynman-Kac formula  
A stochastic Fubini theorem: BSDE method 期刊论文
Journal of Inequalities and Applications, 2017, 卷号: 2017, 期号: 1
作者:  Wang,Yanqing
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
stochastic Fubini theorem  backward stochastic differential equation  random jumps  60H05  65C30