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Uniform exponential stability of semi-discrete scheme for observer-based control of 1-D wave equation 期刊论文
SYSTEMS & CONTROL LETTERS, 2022, 卷号: 168, 页码: 12
作者:  Ren, Han-Jing;  Guo, Bao-Zhu
收藏  |  浏览/下载：68/0  |  提交时间：2023/02/07
Coupled wave equations  Uniform exponential stability  Order reduction finite -difference method  
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 21
作者:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
收藏  |  浏览/下载：59/0  |  提交时间：2023/02/07
Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
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
作者:  Chen, Chuchu;  Hong, Jialin;  Lu, Yulan
收藏  |  浏览/下载：102/0  |  提交时间：2023/02/07
   Invariant measure  Markov chain  weak convergence  backward Euler method  stochastic differential equations with piecewise continuous arguments  
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in L-2(Gamma) 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 36
作者:  Zhou, Kaiye;  Gong, Wei
收藏  |  浏览/下载：102/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes equations  Polygonal/polyhedral domain  Smooth domain  Finite elements  Error estimates  
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
作者:  Chen, Chuchu;  Cui, Jianbo;  Hong, Jialin;  Sheng, Derui
收藏  |  浏览/下载：107/0  |  提交时间：2022/06/21
density  convergence order  accelerated exponential Euler scheme  stochastic heat equation  Malliavin calculus  
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
作者:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：138/0  |  提交时间：2021/04/26
molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis  
SYMPLECTIC DISCONTINUOUS GALERKIN FULL DISCRETIZATION FOR STOCHASTIC MAXWELL EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 4, 页码: 2197-2217
作者:  Chen, Chuchu
收藏  |  浏览/下载：106/0  |  提交时间：2022/04/02
stochastic Maxwell equations  symplectic dG full discretization  mean-square convergence  
Error estimate on the tanh meshes for the time fractional diffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 21
作者:  Zhang, Jiali;  Huang, Jizu;  Wang, Kun;  Wang, Xin
收藏  |  浏览/下载：160/0  |  提交时间：2021/01/14
Caputo fractional derivative  error estimate  the tanh meshes  unconditionally stable  weak singularity  
LARGE DEVIATION PRINCIPLES FOR FIRST-ORDER SCALAR CONSERVATION LAWS WITH STOCHASTIC FORCING 期刊论文
ANNALS OF APPLIED PROBABILITY, 2020, 卷号: 30, 期号: 1, 页码: 324-367
作者:  Dong, Zhao;  Wu, Jiang-Lun;  Zhang, Rangrang;  Zhang, Tusheng
收藏  |  浏览/下载：157/0  |  提交时间：2020/05/24
Large deviations  first-order conservation laws  weak convergence approach  kinetic solution  
Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition 期刊论文
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 卷号: 2020, 页码: 11
作者:  Zhou, Chenguang;  Zou, Yongkui;  Chai, Shimin;  Zhang, Fengshan
收藏  |  浏览/下载：140/0  |  提交时间：2020/05/24