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A Fourth Order Finite Difference Method for Time-Space Fractional Diffusion Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2018, 卷号: 8, 期号: 4, 页码: 764-781
作者:  Arshad, Sadia;  Baleanu, Dumitru;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载:211/0  |  提交时间:2019/03/05
Fractional diffusion equation  Riesz derivative  high-order approximation  stability  convergence  
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:118/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
A new family of fourth-order locally one-dimensional schemes for the three-dimensional wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 311, 页码: 130-147
作者:  Zhang, Wensheng;  Jiang, Jiangjun
收藏  |  浏览/下载:118/0  |  提交时间:2018/07/30
3D  Acoustic wave equation  LOD  Fourth-order accuracy  Stability  Compact  
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:147/0  |  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:109/0  |  提交时间:2018/07/30
Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 215, 期号: 9, 页码: 3201-3213
作者:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
Incompressible Navier-Stokes equation  Artificial compressibility method  Upwind compact finite difference  Flux-difference splitting  Dual-time stepping  Kovasznay flow problem  Oscillating plate  Taylor's decaying vortices  Doubly periodic shear layer  
Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2009, 卷号: 61, 期号: 5, 页码: 552-568
作者:  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
upwind compact difference  flux-difference splitting  incompressible Navier-Stokes equation  artificial compressibility  backward facing step  lid-driven cavity flow  
A Third-Order Upwind Compact Scheme on Curvilinear Meshes for the Incompressible Navier-Stokes Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2009, 卷号: 5, 期号: 2-4, 页码: 712-729
作者:  Shah, Abdullah;  Guo, Hong;  Yuan, Li
收藏  |  浏览/下载:101/0  |  提交时间:2018/07/30
Upwind compact difference  flux difference splitting  incompressible Navier-Stokes equations  artificial compressibility  lid-driven cavity flow  
Numerical simulation of Richtmyer-Meshkov instability 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 卷号: 47, 页码: 234-244
作者:  Fu, DX;  Ma, YW;  Zhang, LB;  Tian, BL
收藏  |  浏览/下载:99/0  |  提交时间:2018/07/30
R-M instability  direct numerical simulation  shock-interface interaction  
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:95/0  |  提交时间:2018/07/30
compressible mixing layer  transition  turbulence  compact scheme