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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
Authors:  Flandoli, Franco;  Luo, Dejun;  Ricci, Cristiano
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High dimensional Kolmogorov equation  Numerical solution  Iteration scheme  Gaussian process  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
Authors:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
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stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
Differentially private distributed algorithms for stochastic aggregative games 期刊论文
AUTOMATICA, 2022, 卷号: 142, 页码: 13
Authors:  Wang, Jimin;  Zhang, Ji-Feng;  He, Xingkang
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Differential privacy  Stochastic aggregative games  Distributed algorithms  Stochastic approximation  
Differentially private resilient distributed cooperative online estimation over digraphs 期刊论文
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2022, 页码: 19
Authors:  Wang, Jimin;  Zhang, Ji-Feng;  Liu, Xiao-Kang
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differential privacy  distributed online estimation  resilient estimation  stochastic approximation  
Distributed system identification for linear stochastic systems with binary sensors 期刊论文
AUTOMATICA, 2022, 卷号: 141, 页码: 13
Authors:  Fu, Kewei;  Chen, Han-Fu;  Zhao, Wenxiao
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Distributed system identification  Binary-valued sensor  Stochastic approximation  Consensus  Convergence  Strong consistency  
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
Authors:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
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   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
A fast Euler-Maruyama method for fractional stochastic differential equations 期刊论文
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2022, 页码: 19
Authors:  Zhang, Jingna;  Tang, Yifa;  Huang, Jianfei
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Fractional stochastic differential equations  Euler-Maruyama method  Sum-of-exponentials approximation  Strong convergence  Computational efficiency  
Accelerated exponential Euler scheme for stochastic heat equation: convergence rate of the density 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 40
Authors:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
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density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
Authors:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
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Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
Authors:  CHEN, Z. H. I. M. I. N. G.;  ZHANG, W. E. N. L. O. N. G.;  ZOU, J. U. N.
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inverse source problems  regularization  finite element approximation  stochastic error estimates