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A novel hybrid IGA-EIEQ numerical method for the Allen-Cahn/Cahn-Hilliard equations on complex curved surfaces 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 404, 页码: 21
作者:  Pan, Qing;  Chen, Chong;  Zhang, Yongjie Jessica;  Yang, Xiaofeng
收藏  |  浏览/下载：113/0  |  提交时间：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
Layer-Splitting Methods for Time-Dependent Schrodinger Equations of Incommensurate Systems 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 5, 页码: 1474-1498
作者:  Wang, Ting;  Chen, Huajie;  Zhou, Aihui;  Zhou, Yuzhi
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/02
Incommensurate system  time-dependent Schrodinger equation  time stepping scheme  
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：169/0  |  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  
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
作者:  Zhang, Wensheng
收藏  |  浏览/下载：169/0  |  提交时间：2019/03/05
3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
A Fast Algorithm for the Caputo Fractional Derivative 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 656-677
作者:  Wang, Kun;  Huang, Jizu
收藏  |  浏览/下载：139/0  |  提交时间：2019/03/05
Caputo derivative  fast algorithm  polynomial approximation  error  graded mesh  
ANALYSIS OF A SPLITTING SCHEME FOR DAMPED STOCHASTIC NONLINEAR SCHRODINGER EQUATION WITH MULTIPLICATIVE NOISE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2045-2069
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：142/0  |  提交时间：2018/10/07
damped stochastic nonlinear Schrodinger equation  exponential integrability  strong order  weak order  Kolmogorov equation  
Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 6, 页码: 21
作者:  Zakharov, Leonid E.;  Li, Xujing
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
A mass conserved splitting method for the nonlinear Schr?dinger equation 期刊论文
Advances in Difference Equations, 2012, 卷号: 2012, 期号: 1
作者:  Hua,Dong-Ying;  Li,Xiang-Gui;  Zhu,Jiang
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
time-splitting  finite difference  dipolar Bose-Einstein condensates  Schr?dinger equation  conservation  
Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 卷号: 27, 期号: 3, 页码: 507-528
作者:  Xu, Qiubin;  Chang, Qianshun
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Ginzburg-Landau equation  difference scheme  time-splitting scheme  convergence  stability