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A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载:87/0  |  提交时间:2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
A Note on the Convergence of Distributed RLS 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 12, 页码: 6762-6769
作者:  Liu, Zhaobo;  Li, Chanying
收藏  |  浏览/下载:74/0  |  提交时间:2023/02/07
Distributed estimation  mean square convergence  noises  recursive least squares  strong consistency  
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  
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  
Averaging principle and normal deviations for multi-scale stochastic hyperbolic-parabolic equations 期刊论文
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS, 2022, 页码: 39
作者:  Roeckner, Michael;  Xie, Longjie;  Yang, Li
收藏  |  浏览/下载:114/0  |  提交时间:2022/04/29
Stochastic hyperbolic-parabolic equations  Averaging principle  Strong and weak convergence  Homogenization  
Optimal rate of convergence for two classes of schemes to stochastic differential equations driven by fractional Brownian motions 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 卷号: 41, 期号: 2, 页码: 1608-1638
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载:131/0  |  提交时间:2021/10/26
fractional Brownian motion  strong convergence rate  Runge-Kutta method  simplified step-N Euler scheme  
Strong convergence order for slow-fast McKean-Vlasov stochastic differential equations 期刊论文
ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2021, 卷号: 57, 期号: 1, 页码: 547-576
作者:  Rockner, Michael;  Sun, Xiaobin;  Xie, Yingchao
收藏  |  浏览/下载:138/0  |  提交时间:2021/04/26
Averaging principle  McKean-Vlasov stochastic differential equations  Slow-fast  Poisson equation  Strong convergence order  
STRONG CONVERGENCE OF FULL DISCRETIZATION FOR STOCHASTIC CAHN-HILLIARD EQUATION DRIVEN BY ADDITIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2866-2899
作者:  Cui, Jianbo;  Hong, Jialin;  Sun, Liying
收藏  |  浏览/下载:108/0  |  提交时间:2022/04/02
stochastic Cahn-Hilliard equation  spectral Galerkin method  accelarated implicit Euler method  strong convergence rate  
Absolute continuity and numerical approximation of stochastic Cahn-Hilliard equation with unbounded noise diffusion 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 11, 页码: 10143-10180
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载:120/0  |  提交时间:2021/01/14
Stochastic Cahn-Hilliard equation  Unbounded noise diffusion  Malliavin calculus  Numerical approximation  Strong convergence rate  
Optimal strong convergence rate of a backward Euler type scheme for the Cox-Ingersoll-Ross model driven by fractional Brownian motion 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2020, 卷号: 130, 期号: 5, 页码: 2675-2692
作者:  Hong, Jialin;  Huang, Chuying;  Kamrani, Minoo;  Wang, Xu
收藏  |  浏览/下载:155/0  |  提交时间:2020/06/30
Cox-Ingersoll-Ross model  Fractional Brownian motion  Backward Euler scheme  Optimal strong convergence rate  Malliavin calculus