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An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载：105/0  |  提交时间：2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
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
作者:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
收藏  |  浏览/下载：190/0  |  提交时间：2022/04/29
Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
Time-Inconsistent Stochastic LQ Problem with Regime Switching 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2020, 页码: 22
作者:  Si, Binbin;  Ni, Yuan-Hua;  Zhang, Ji-Feng
收藏  |  浏览/下载：189/0  |  提交时间：2020/09/23
Forward-backward stochastic difference equation  open-loop equilibrium control  regime switching  stochastic linear-quadratic problem  time inconsistency  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
作者:  Liu, Jiankang;  Guo, Bao-Zhu
收藏  |  浏览/下载：174/0  |  提交时间：2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
MIXED EQUILIBRIUM SOLUTION OF TIME-INCONSISTENT STOCHASTIC LINEAR-QUADRATIC PROBLEM 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 卷号: 57, 期号: 1, 页码: 533-569
作者:  Ni, Yuan-Hua;  Li, Xun;  Zhang, Ji-Feng;  Krstic, Miroslav
收藏  |  浏览/下载：130/0  |  提交时间：2019/12/13
time inconsistency  stochastic linear-quadratic optimal control  mean-field optimal control  forward-backward stochastic difference equation  equilibrium solution  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
作者:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
收藏  |  浏览/下载：208/0  |  提交时间：2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Time-Inconsistent Mean-Field Stochastic LQ Problem: Open-Loop Time-Consistent Control 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 卷号: 63, 期号: 9, 页码: 2771-2786
作者:  Ni, Yuan-Hua;  Zhang, Ji-Feng;  Krstic, Miroslav
收藏  |  浏览/下载：149/0  |  提交时间：2018/10/07
Forward-backward stochastic difference equation  mean-field theory  stochastic linear-quadratic optimal control  time inconsistency  
Time-Inconsistent Mean-Field Stochastic LQ Problem: Open-Loop Time-Consistent Control 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2018, 卷号: 63, 期号: 9, 页码: 2771-2786
作者:  Ni, Yuan-Hua;  Zhang, Ji-Feng;  Krstic, Miroslav
收藏  |  浏览/下载：140/0  |  提交时间：2018/10/07
Forward-backward stochastic difference equation  mean-field theory  stochastic linear-quadratic optimal control  time inconsistency  
Finite difference method for time-space linear and nonlinear fractional diffusion equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 202-217
作者:  Arshad, Sadia;  Bu, Weiping;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载：208/0  |  提交时间：2018/07/30
Fractional diffusion equation  finite difference method  stability and convergence analysis  trapezoidal formula  Riesz derivative  Caputo derivative  
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：158/0  |  提交时间：2018/07/30
Stochastic cubic Schrodinger equation  Strong convergence rate  Central difference scheme  Exponential integrability  Continuous dependence