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Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen-Cahn equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 2096-2134
作者:  Brehier, Charles-Edouard;  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：168/0  |  提交时间：2020/01/10
stochastic Allen-Cahn equation  splitting scheme  strong convergence rate  exponential integrability  
Strong convergence rate of splitting schemes for stochastic nonlinear Schrodinger equations 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 9, 页码: 5625-5663
作者:  Cui, Jianbo;  Hong, Jialin;  Liu, Zhihui;  Zhou, Weien
收藏  |  浏览/下载：158/0  |  提交时间：2019/03/11
Stochastic nonlinear Schrodinger equation  Strong convergence rate  Exponential integrability  Splitting scheme  Non-monotone coefficients  
Mixed Schemes for Fourth-Order DIV Equations 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
作者:  Fan, Ronghong;  Liu, Yanru;  Zhang, Shuo
收藏  |  浏览/下载：141/0  |  提交时间：2020/01/10
Fourth-Order DIV Equation  Mixed Scheme  Regularity Analysis  Finite Element Method  
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  
A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 1, 页码: 204-233
作者:  Yang, Zhiqiang;  Sun, Yi;  Cui, Junzhi;  Li, Xiao
收藏  |  浏览/下载：160/0  |  提交时间：2019/03/05
Multiscale asymptotic analysis  radiation boundary condition  quasi-periodic structures  nonlinear heat transfer problems  
Symplectic Runge-Kutta methods for Hamiltonian systems driven by Gaussian rough paths 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 129, 页码: 120-136
作者:  Hong, Jialin;  Huang, Chuying;  Wang, Xu
收藏  |  浏览/下载：142/0  |  提交时间：2018/07/30
Rough path  Hamiltonian system  Symplectic Runge-Kutta method  Implicit method  Pathwlse convergence rate  
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 1, 页码: 407-428
作者:  Zhao, Yanmin;  Chen, Pan;  Bu, Weiping;  Liu, Xiangtao;  Tang, Yifa
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Mixed finite element methods  L1 method  Time-fractional diffusion equation  Unconditional stability  Superconvergence and convergence  
On SSOR-like preconditioners for non-Hermitian positive definite matrices 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2016, 卷号: 23, 期号: 1, 页码: 37-60
作者:  Bai, Zhong-Zhi
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
non-Hermitian matrix  positive definiteness  preconditioning  SSOR iteration  eigenvalue distribution  
Multigrid methods for space fractional partial differential equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2015, 卷号: 302, 页码: 374-392
作者:  Jiang, Yingjun;  Xu, Xuejun
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Fractional differential equations  Multigrid methods  Optimal convergence