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A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 2, 页码: 488-507
作者:  Mohanty, R. K.;  Yuan, Li;  Sharma, Divya
收藏  |  浏览/下载：152/0  |  提交时间：2021/04/26
Half-step discretization  compact scheme in exponential form  two-level implicit scheme  Burgers' equation  Navier-Stokes equations of motion  Taylor-vortex problem  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
A Compact Scheme for Coupled Stochastic Nonlinear Schrodinger Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2017, 卷号: 21, 期号: 1, 页码: 93-125
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai;  Kong, Linghua
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
Coupled stochastic nonlinear Schrodinger equations  compact scheme  stochastic multi-symplectic conservation law  energy evolution law  charge conservation law  soliton evolution  soliton interaction  
A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2016, 卷号: 38, 期号: 2, 页码: 433-441
作者:  Rizwan, Muhammad;  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Fourth-Order Compact Difference Schemes for 1D Nonlinear Kuramoto-Tsuzuki Equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 2080-2109
作者:  Hu, Xiuling;  Chen, Shanzhen;  Chang, Qianshun
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
compact difference scheme  convergence  Kuramoto-Tsuzuki equation  Neumann boundary conditions  priori estimates  
New numerical methods for the coupled nonlinear Schrodinger equations 期刊论文
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2010, 卷号: 26, 期号: 2, 页码: 205-218
作者:  Xu, Qiu-bin;  Chang, Qian-shun
收藏  |  浏览/下载：86/0  |  提交时间：2018/07/30
Coupled nonlinear Schrodinger equation(CNLS)  split step Runge-Kutta method  compact scheme  split step spectral method  difference scheme  
On the explicit compact schemes II: Extension of the STCE/CE method on nonstaggered grids 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2000, 卷号: 18, 期号: 5, 页码: 467-480
作者:  Tang, HZ;  Wu, HM
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
conservation laws  compact scheme  shock-capturing method  Euler equations  
Direct numerical simulation of transition and turbulence in compressible mixing layer 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2000, 卷号: 43, 期号: 4, 页码: 421-429
作者:  Fu, DX;  Ma, YW;  Zhang, LB
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
compressible mixing layer  transition  turbulence  compact scheme  
ON THE EXPLICIT COMPACT SCHEMES II: EXTENSION OFTHE STCE/CE METHOD ON NONSTAGGERED GRIDSON THE EXPLICIT COMPACT SCHEMES II: EXTENSION OFTHE STCE/CE METHOD ON NONSTAGGERED GRID 期刊论文
计算数学：英文版, 2000, 卷号: 000, 期号: 005, 页码: 467-480
作者:  Wu Huamu;  Tang Huazhong
收藏  |  浏览/下载：74/0  |  提交时间：2021/01/14
Conservation  laws  Compact  scheme  Shock-Capturing  method  Euler  equations.