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Numerical computation of probabilities for nonlinear SDEs in high dimension using Kolmogorov equation br 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2023, 卷号: 436, 页码: 17
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：74/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
Linear quadratic mean field social control with common noise: A directly decoupling method? 期刊论文
AUTOMATICA, 2022, 卷号: 146, 页码: 14
作者:  Wang, Bing-Chang;  Zhang, Huanshui;  Zhang, Ji-Feng
收藏  |  浏览/下载：69/0  |  提交时间：2023/02/07
Mean field game  Optimal social cost  Stabilization  Finite agents  Common noise  FBSDE  
Distributed stochastic gradient tracking methods with momentum acceleration for non-convex optimization 期刊论文
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2022, 页码: 42
作者:  Gao, Juan;  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Yakui;  Gu, Junhua
收藏  |  浏览/下载：102/0  |  提交时间：2023/02/07
Distributed non-convex optimization  Machine learning  Momentum methods  Optimization algorithms  Convergence rate  
Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 465, 页码: 30
作者:  Dong, Hao;  Yang, Zihao;  Guan, Xiaofei;  Cui, Junzhi
收藏  |  浏览/下载：78/0  |  提交时间：2023/02/07
Composite structures  Multiscale random configurations  SHTSP model  Multilevel strategy  Strength prediction  
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：62/0  |  提交时间：2023/02/07
Uncertainty quantification  Anomalous transport  Quasi Monte Carlo simulation  Generalized polynomial chaos  Long-time integration  Poly-fractonomials  
Distributed system identification for linear stochastic systems with binary sensors 期刊论文
AUTOMATICA, 2022, 卷号: 141, 页码: 13
作者:  Fu, Kewei;  Chen, Han-Fu;  Zhao, Wenxiao
收藏  |  浏览/下载：71/0  |  提交时间：2023/02/07
Distributed system identification  Binary-valued sensor  Stochastic approximation  Consensus  Convergence  Strong consistency  
Large N Limit of the O(N) Linear Sigma Model in 3D 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2022, 页码: 57
作者:  Shen, Hao;  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：108/0  |  提交时间：2023/02/07
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  
Influence of numerical discretizations on hitting probabilities for linear stochastic parabolic systems 期刊论文
JOURNAL OF COMPLEXITY, 2022, 卷号: 70, 页码: 29
作者:  Chen, Chuchu;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/29
Hitting probability  Numerical discretization  Stochastic parabolic system  Critical dimension  
A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
作者:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载：64/0  |  提交时间：2023/02/07
Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency