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Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness 期刊论文
APPLIED MATHEMATICS LETTERS, 2020, 卷号: 99, 页码: 8
作者:  Luo, Fusheng;  Xie, Hehu;  Xie, Manting;  Xu, Fei
收藏  |  浏览/下载：190/0  |  提交时间：2020/01/10
Molecular beam epitaxy  Adaptive time-stepping method  Equidistribution of energy  Equidistribution of roughness  
Anisotropic linear triangle finite element approximation for multi-term time-fractional mixed diffusion and diffusion-wave equations with variable coefficient on 2D bounded domain 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1705-1719
作者:  Zhao, Yanmin;  Wang, Fenling;  Hu, Xiaohan;  Shi, Zhengguang;  Tang, Yifa
收藏  |  浏览/下载：182/0  |  提交时间：2020/01/10
Multi-term time-fractional mixed diffusion-wave equations  Linear triangle finite element  L1 time-stepping method  Crank-Nicolson scheme  Unconditional stability  Convergence and superconvergence  
Conservative explicit local time-stepping schemes for the shallow water equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 382, 页码: 152-176
作者:  Hoang, Thi-Thao-Phuong;  Leng, Wei;  Ju, Lili;  Wang, Zhu;  Pieper, Konstantin
收藏  |  浏览/下载：166/0  |  提交时间：2019/04/02
Shallow water equations  Local time-stepping  Strong stability preserving Runge-Kutta  Finite volume  Mass conservation  Potential vorticity  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
作者:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 1, 页码: 407-428
作者:  Zhao, Yanmin;  Chen, Pan;  Bu, Weiping;  Liu, Xiangtao;  Tang, Yifa
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Mixed finite element methods  L1 method  Time-fractional diffusion equation  Unconditional stability  Superconvergence and convergence  
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  
A FULLY IMPLICIT METHOD FOR LATTICE BOLTZMANN EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 卷号: 37, 期号: 5, 页码: S291-S313
作者:  Huang, Jizu;  Yang, Chao;  Cai, Xiao-Chuan
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
lattice Boltzmann equations  fully implicit method  Newton-Krylov-RAS  domain decomposition  parallel scalability  
Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility 期刊论文
COMPUTERS & FLUIDS, 2011, 卷号: 42, 期号: 1, 页码: 54-61
作者:  Shah, Abdullah;  Yuan, Li
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Two-phase flow  Phase field model  Incompressible Navier-Stokes equations  Artificial compressibility  WENO scheme  
AFMPB: An adaptive fast multipole, Poisson-Boltzmann solver for calculating electrostatics in biomolecular systems 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2010, 卷号: 181, 期号: 6, 页码: 1150-1160
作者:  Lu, Benzhuo;  Cheng, Xiaolin;  Huang, Jingfang;  McCammon, J. Andrew
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Poisson-Boltzmann equation  Boundary integral equation  Node-patch method  Krylov subspace methods  Fast multipole methods  Diagonal translations  
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