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Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
Authors:  Hong, Jialin;  Hou, Baohui;  Sun, Liying
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Compact finite difference method  Interior penalty discontinuous Galerkin finite element method  Pade approximation  Averaged energy evolution law  Stochastic wave equation  Multiplicative noise  
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：64/0  |  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
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Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
Application of local discontinuous Galerkin method to Einstein equations 期刊论文
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2019, 卷号: 28, 期号: 1, 页码: 26
Authors:  Cao, Zhoujian;  Fu, Pei;  Ji, Li-Wei;  Xia, Yinhua
Favorite  |  View/Download：277/0  |  Submit date：2019/03/05
Numerical relativity  Einstein equation  gravitational wave  
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
Authors:  Arshad, Sadia;  Baleanu, Dumitru;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
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Fractional diffusion equation  Riesz derivative  high-order approximation  stability  convergence  
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 2, 页码: 316-328
Authors:  Cong, Xin-rong;  Li, Long-suo
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Stochastic partial differential equations  compact finite difference method  random noise  
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
Authors:  Hu, Xiuling;  Chen, Shanzhen;  Chang, Qianshun
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compact difference scheme  convergence  Kuramoto-Tsuzuki equation  Neumann boundary conditions  priori estimates  
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
Authors:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
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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
Authors:  Shah, Abdullah;  Yuan, Li
Favorite  |  View/Download：66/0  |  Submit date：2018/07/30
upwind compact difference  flux-difference splitting  incompressible Navier-Stokes equation  artificial compressibility  backward facing step  lid-driven cavity flow