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STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：164/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
作者:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
Probabilistic High Order Numerical Schemes for Fully Nonlinear Parabolic PDEs 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2015, 卷号: 18, 期号: 5, 页码: 1482-1503
作者:  Kong, Tao;  Zhao, Weidong;  Zhou, Tao
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Fully nonlinear parabolic PDEs  second order FBSDEs  probabilistic interpretations  probabilistic numerical schemes  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
作者:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme  
secondordertwoscaleanalysisandnumericalalgorithmsforthehyperbolicparabolicequationswithrapidlyoscillatingcoefficients 期刊论文
chinesephysicsb, 2015, 卷号: 24, 期号: 9
作者:  Dong Hao;  Nie Yufeng;  Cui Junzhi;  Wu Yatao
收藏  |  浏览/下载：111/0  |  提交时间：2020/01/10
AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2015, 卷号: 12, 期号: 3, 页码: 567-591
作者:  Chen, Zhiming;  Wu, Zedong;  Xiao, Yuanming
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Immersed finite element  adaptive  a posteriori error estimate  time variable domain  
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 215, 期号: 9, 页码: 3201-3213
作者:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
Incompressible Navier-Stokes equation  Artificial compressibility method  Upwind compact finite difference  Flux-difference splitting  Dual-time stepping  Kovasznay flow problem  Oscillating plate  Taylor's decaying vortices  Doubly periodic shear layer  
A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 5, 期号: 2-4, 页码: 712-729
作者:  Shah, Abdullah;  Guo, Hong;  Yuan, Li
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Upwind compact difference  flux difference splitting  incompressible Navier-Stokes equations  artificial compressibility  lid-driven cavity flow  
Multiscale asymptotic method for heat transfer equations in lattice-type structures 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 2, 页码: 232-255
作者:  Zhai, Fang-Man;  Cao, Li-Qun
收藏  |  浏览/下载：76/0  |  提交时间：2018/07/30
homogenization  multiscale asymptotic expansion  parabolic equation  lattice-type structure  multiscale finite element method  
Multiscale asymptotic method of optimal control on the boundary for heat equations of composite materials 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 卷号: 343, 期号: 2, 页码: 1103-1118
作者:  Cao, L. Q.
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
homogenization  asymptotic expansion  optimal control on the boundary  heat equation  composite materials  porous media