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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：70/0  |  提交时间：2023/02/07
High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A numerical approach to Kolmogorov equation in high dimension based on Gaussian analysis 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2021, 卷号: 493, 期号: 1, 页码: 29
作者:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
收藏  |  浏览/下载：172/0  |  提交时间：2021/01/14
Kolmogorov equation  Numerical solution  Iteration schema  Gaussian process  
Piecewise linear approximation for the dynamical Phi(4)(3) model 期刊论文
SCIENCE CHINA-MATHEMATICS, 2020, 卷号: 63, 期号: 2, 页码: 381-410
作者:  Zhu, Rongchan;  Zhu, Xiangchan
收藏  |  浏览/下载：144/0  |  提交时间：2020/05/24
regularity structure  space-time white noise  stochastic partial differential equations  renormalization  
Ergodicity for a class of semilinear stochastic partial differential equations 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 页码: 20
作者:  Dong, Zhao;  Zhang, Rangrang
收藏  |  浏览/下载：195/0  |  提交时间：2020/05/24
invariant measures  irreducibility  semilinear partial differential equations  space-time white noise  strong Feller property  
Ergodicity of linear SPDE driven by L,vy noise 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2010, 卷号: 23, 期号: 1, 页码: 137-152
作者:  Dong, Zhao;  Xie, Yingchao
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Ergodicity  invariant measure  Levy noise  linear SPDE  
Invariant measures for stochastic evolution equations of pure jump type 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2009, 卷号: 119, 期号: 2, 页码: 410-427
作者:  Dong, Zhao;  Xu, Tiange;  Zhang, Tusheng
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Stochastic evolution equations  Stochastic partial differential equations  Poisson counting measures  Semigroups  Invariant measures  
Sobolev solution for semilinear PDE with obstacle under monotonicity condition 期刊论文
ELECTRONIC JOURNAL OF PROBABILITY, 2008, 卷号: 13, 页码: 1035-1067
作者:  Matoussi, Anis;  Xu, Mingyu
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
backward stochastic differential equation  reflected backward stochastic differential equation  monotonicity condition  stochastic flow  partial differential equation with obstacle  
Effective macroscopic dynamics of stochastic partial differential equations in perforated domains 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 卷号: 38, 期号: 5, 页码: 1508-1527
作者:  Wang, Wei;  Cao, Daomin;  Duan, Jinqiao
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
stochastic PDEs  effective macroscopic model  stochastic homogenization  white noise  probability distribution  perforated domain