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Understanding the acceleration phenomenon via high-resolution differential equations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 卷号: 195, 期号: 1-2, 页码: 79-148
作者:  Shi, Bin;  Du, Simon S.;  Jordan, Michael, I;  Su, Weijie J.
收藏  |  浏览/下载：73/0  |  提交时间：2023/02/07
Convex optimization  First-order method  Polyak's heavy ball method  Nesterov's accelerated gradient methods  Ordinary differential equation  Lyapunov function  Gradient minimization  
A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 4, 页码: 1061-1082
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：111/0  |  提交时间：2022/04/02
subject Elastic transmission eigenvalue problem  nonconforming finite element method  high accuracy  
Asymptotically Efficient Recursive Identification of FIR Systems With Binary-Valued Observations 期刊论文
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 卷号: 51, 期号: 5, 页码: 2687-2700
作者:  Zhang, Hang;  Wang, Ting;  Zhao, Yanlong
收藏  |  浏览/下载：178/0  |  提交时间：2021/06/01
Finite impulse response filters  Convergence  Approximation algorithms  Adaptive control  Projection algorithms  Estimation  Control systems  Asymptotic efficiency  binary-valued observations  convergence  Cramé  r–  Rao (CR) lower bound  identification  
AN EXPLICIT MULTISTEP SCHEME FOR MEAN-FIELD FORWARD-BACKWARD STOCHASTIC DIFFERENTIAL EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2021, 页码: 25
作者:  Sun, Yabing;  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：112/0  |  提交时间：2022/04/02
Mean-field forward backward stochastic differential equations  Explicit multistep scheme  Error estimates  
A class of smooth exact penalty function methods for optimization problems with orthogonality constraints 期刊论文
OPTIMIZATION METHODS & SOFTWARE, 2020, 页码: 37
作者:  Xiao, Nachuan;  Liu, Xin;  Yuan, Ya-xiang
收藏  |  浏览/下载：152/0  |  提交时间：2021/01/14
Orthogonality constraint  Stiefel manifold  augmented Lagrangian method  
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
作者:  Yang, Jie;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：163/0  |  提交时间：2020/01/10
Deferred correction method  Second-order forward backward stochastic differential equations  Euler scheme  High-order rate of convergence  
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  
SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 6, 页码: 834-863
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Yang, Zihao;  Wang, Ziqiang
收藏  |  浏览/下载：161/0  |  提交时间：2019/03/05
Dynamic thermo-mechanical problem  multiscale asymptotic analysis  composite structure  cylindrical periodicity  SOTS numerical algorithm  
Strong convergence rate of finite difference approximations for stochastic cubic Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2017, 卷号: 263, 期号: 7, 页码: 3687-3713
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Stochastic cubic Schrodinger equation  Strong convergence rate  Central difference scheme  Exponential integrability  Continuous dependence  
A nonmonotone inexact Newton method for unconstrained optimization 期刊论文
OPTIMIZATION LETTERS, 2017, 卷号: 11, 期号: 5, 页码: 947-965
作者:  Gao, Huan;  Zhang, Hai-Bin;  Li, Zhi-Bao;  Tadjouddine, Emmanuel
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
Inexact Newton method  Nonmonotone line search  Preconditioned conjugate gradient  Global convergence