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Parallel exponential time differencing methods for geophysical flow simulations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 387, 页码: 24
作者:  Lan, Rihui;  Leng, Wei;  Wang, Zhu;  Ju, Lili;  Gunzburger, Max
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
Shallow water equations  Primitive equations  Exponential time differencing  Parallel computing  Barotropic/baroclinic splitting  
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：113/0  |  提交时间：2022/04/02
Incommensurate system  time-dependent Schrodinger equation  time stepping scheme  
Development of accurate and robust genuinely two-dimensional HLL-type Riemann solver for compressible flows 期刊论文
COMPUTERS & FLUIDS, 2020, 卷号: 213, 页码: 15
作者:  Hu, Lijun;  Yuan, Li;  Zhao, Kunlei
收藏  |  浏览/下载：127/0  |  提交时间：2021/04/26
Euler equations  HLL-type Riemann solver  Genuinely two-dimensional  Zha-Bilgen splitting  Carbuncle phenomenon  Shock instability  
Solving the Vlasov-Maxwell equations using Hamiltonian splitting 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 396, 页码: 381-399
作者:  Li, Yingzhe;  He, Yang;  Sun, Yajuan;  Niesen, Jitse;  Qin, Hong;  Liu, Jian
收藏  |  浏览/下载：165/0  |  提交时间：2020/01/10
Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting method  
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：166/0  |  提交时间：2019/03/05
3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
Geometric Numerical Integration for Peakon b-Family Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 1, 页码: 24-52
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Symplectic integrator  splitting method  WENO scheme  multisymplectic integrator  peakon  shockpeakon  
Explicit high-order non-canonical symplectic particle-in-cell algorithms for Vlasov-Maxwell systems 期刊论文
PHYSICS OF PLASMAS, 2015, 卷号: 22, 期号: 11, 页码: 8
作者:  Xiao, Jianyuan;  Qin, Hong;  Liu, Jian;  He, Yang;  Zhang, Ruili;  Sun, Yajuan
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
On the rigidity of solitary waves for the focusing mass-critical NLS in dimensions d >= 2 期刊论文
SCIENCE CHINA-MATHEMATICS, 2012, 卷号: 55, 期号: 2, 页码: 385-434
作者:  Li Dong;  Zhang XiaoYi
收藏  |  浏览/下载：70/0  |  提交时间：2021/01/14
NONLINEAR SCHRODINGER-EQUATION  DISPERSIVE EVOLUTION-EQUATIONS  BLOW-UP SOLUTIONS  CRITICAL POWER  CAUCHY-PROBLEM  GROUND-STATES  SINGULARITIES  UNIQUENESS  STABILITY  Schrodinger equation  mass critical  rigidity  
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：120/0  |  提交时间：2018/07/30
Ginzburg-Landau equation  difference scheme  time-splitting scheme  convergence  stability  
On the focusing mass critical problem in six dimensions with splitting spherically symmetric initial data 期刊论文
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 7, 期号: 4, 页码: 345-373
作者:  Li, Dong;  Zhang, Xiaoyi
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Focusing mass critical NLS  Sobolev regularity  scattering conjecture