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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：189/0  |  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  
Variational inequality transport model on the sphere by the active-set reduced-space algorithm 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
作者:  Yang, Haijian;  Yang, Chao;  Huang, Jizu
收藏  |  浏览/下载：160/0  |  提交时间：2021/04/26
Transport problem on the sphere  Variational inequality  Parallel computing  Fully implicit scheme  Active-set reduced-space method  
An energy stable linear diffusive Crank-Nicolson scheme for the Cahn-Hilliard gradient flow 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 377, 页码: 26
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：207/0  |  提交时间：2020/06/30
Cahn-Hilliard gradient flow  Unconditionally stable  Stabilized semi-implicit scheme  Diffusive Crank-Nicolson scheme  Error analysis  Adaptive time stepping  
A diffuse interface model and semi-implicit energy stable finite element method for two-phase magnetohydrodynamic flows 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2019, 卷号: 356, 页码: 435-464
作者:  Yang, Jinjin;  Mao, Shipeng;  He, Xiaoming;  Yang, Xiaofeng;  He, Yinnian
收藏  |  浏览/下载：210/0  |  提交时间：2020/01/10
Two-phase MHD flows  Diffuse interface models  Finite element method  Energy stability  Semi-implicit scheme  
ENERGY STABLE SECOND ORDER LINEAR SCHEMES FOR THE ALLEN-CAHN PHASE-FIELD EQUATION 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2019, 卷号: 17, 期号: 3, 页码: 609-635
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：799/0  |  提交时间：2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate  
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 77, 期号: 2, 页码: 1185-1209
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：170/0  |  提交时间：2018/11/16
Phase field model  Cahn-Hilliard equation  Energy stable  Stabilized semi-implicit scheme  Second order time marching  
Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 卷号: 4, 期号: 2, 页码: 405-432
作者:  Gao, Liping;  Zhang, Bo;  Liang, Dong
收藏  |  浏览/下载：179/0  |  提交时间：2018/07/30
splitting scheme  alternating direction implicit method  finite-difference time-domain method  stability  convergence  Maxwell's equations  perfectly conducting boundary  
Comparison of implicit multigrid schemes for three-dimensional incompressible flows 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 卷号: 177, 期号: 1, 页码: 134-155
作者:  Yuan, L
收藏  |  浏览/下载：138/0  |  提交时间：2018/07/30
multigrid  implicit scheme  artificial compressibility  incompressible Navier-Stokes equations  prolate spheroid  
Nonlinear stability and existence of stationary discrete travelling waves for the relaxing schemes 期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 1999, 卷号: 16, 期号: 2, 页码: 195-224
作者:  Liu, HL;  Wang, JH;  Yang, T
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
explicit relaxing scheme  implicit relaxing scheme  existence  nonlinear stability  discrete travelling wave