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The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
Authors:  Hou, Baohui;  Liang, Dong
Favorite  |  View/Download:10/0  |  Submit date:2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
Authors:  Wang, Yunchu;  Yuan, Li
Favorite  |  View/Download:16/0  |  Submit date:2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 217, 页码: 10
Authors:  Wang, Zhenyu;  He, Qiaolin;  Huang, Jizu
Favorite  |  View/Download:32/0  |  Submit date:2021/04/26
Solid-fluid interaction problem  Lattice Boltzmann equations  Navier-slip boundary condition  Immerse boundary method  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
Authors:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
Favorite  |  View/Download:69/0  |  Submit date:2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
A low-dissipation third-order weighted essentially nonoscillatory scheme with a new reference smoothness indicator 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2020, 卷号: 92, 期号: 9, 页码: 1212-1234
Authors:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
Favorite  |  View/Download:40/0  |  Submit date:2020/09/23
Euler equation  hyperbolic conservation law  nonlinear weight  reference smoothness indicator  third-order accuracy  WENO  
PARALLEL ENERGY-STABLE SOLVER FOR A COUPLED ALLEN-CAHN AND CAHN-HILLIARD SYSTEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: C294-C312
Authors:  Huang, Jizu;  Yang, Chao;  Wei, Ying
Favorite  |  View/Download:39/0  |  Submit date:2021/04/26
coupled Allen-Cahn/Cahn-Hilliard system  discrete variational derivative method  unconditionally energy stable scheme  Newton-Krylov-Schwarz  domain decomposition method  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
Authors:  Liu, Jiankang;  Guo, Bao-Zhu
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Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation  
Modified Stencil Approximations for Fifth-Order Weighted Essentially Non-oscillatory Schemes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 898-922
Authors:  Wang, Yahui;  Du, Yulong;  Zhao, Kunlei;  Yuan, Li
Favorite  |  View/Download:36/0  |  Submit date:2020/05/24
WENO scheme  Stencil approximation order  Smoothness indicator  Hyperbolic conservation law  Euler equation  
Parallel energy-stable phase field crystal simulations based on domain decomposition methods 期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2019, 卷号: 234, 页码: 26-39
Authors:  Wei, Ying;  Yang, Chao;  Huang, Jizu
Favorite  |  View/Download:57/0  |  Submit date:2019/01/11
Phase field crystal equation  Discrete variational derivative method  Unconditionally energy stable scheme  Domain decomposition method  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
Authors:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
Favorite  |  View/Download:68/0  |  Submit date:2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme