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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：111/0  |  提交时间：2023/02/07
Loop subdivision  IGA-EIEQ  Decoupled  Unconditional energy stability  Allen-Cahn  Cahn-Hilliard  
A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
Uzawa methods for a class of block three-by-three saddle-point problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2019, 页码: 26
作者:  Huang, Na;  Dai, Yu-Hong;  Hu, QiYa
收藏  |  浏览/下载：179/0  |  提交时间：2020/01/10
inexact Uzawa method  saddle-point problem  Uzawa method  
Symplectic simulation of dark solitons motion for nonlinear Schrodinger equation 期刊论文
NUMERICAL ALGORITHMS, 2019, 卷号: 81, 期号: 4, 页码: 1485-1503
作者:  Zhu, Beibei;  Tang, Yifa;  Zhang, Ruili;  Zhang, Yihao
收藏  |  浏览/下载：127/0  |  提交时间：2020/01/10
Nonlinear Schrodinger equation  Ablowitz-ladik model  Symplectic methods  K-symplectic methods  Invariants  
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  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载：488/123  |  提交时间：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：824/150  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Explicit K-symplectic algorithms for charged particle dynamics 期刊论文
PHYSICS LETTERS A, 2017, 卷号: 381, 期号: 6, 页码: 568-573
作者:  He, Yang;  Zhou, Zhaoqi;  Sun, Yajuan;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载：126/0  |  提交时间：2018/07/30
Lorentz force equation  K-symplectic integrator  Splitting method  Hamiltonian splitting  Energy preservation  
Splitting K-symplectic methods for non-canonical separable Hamiltonian problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 387-399
作者:  Zhu, Beibei;  Zhang, Ruili;  Tang, Yifa;  Tu, Xiongbiao;  Zhao, Yue
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
High order volume-preserving algorithms for relativistic charged particles in general electromagnetic fields 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 9, 页码: 8
作者:  He, Yang;  Sun, Yajuan;  Zhang, Ruili;  Wang, Yulei;  Liu, Jian;  Qin, Hong
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30