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AN ENERGY STABLE AND MAXIMUM BOUND PRESERVING SCHEME WITH VARIABLE TIME STEPS FOR TIME FRACTIONAL ALLEN--CAHN EQUATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2021, 卷号: 43, 期号: 5, 页码: A3503-A3526
Authors:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
Favorite  |  View/Download：46/0  |  Submit date：2022/04/02
time-fractional Allen--Cahn equation  asymptotic preserving  energy stability  adaptive time stepping  max-imum principle  
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
Authors:  Wang, Lin;  Yu, Haijun
Favorite  |  View/Download：111/0  |  Submit date：2020/06/30
Cahn-Hilliard gradient flow  Unconditionally stable  Stabilized semi-implicit scheme  Diffusive Crank-Nicolson scheme  Error analysis  Adaptive time stepping  
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：85/0  |  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  
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：102/0  |  Submit date：2019/01/11
Phase field crystal equation  Discrete variational derivative method  Unconditionally energy stable scheme  Domain decomposition method  
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
Authors:  Wang, Lin;  Yu, Haijun
Favorite  |  View/Download：517/0  |  Submit date：2020/01/10
Allen-Cahn equation  energy stable  stabilized semi-implicit scheme  second order scheme  error estimate  
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
Authors:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
Favorite  |  View/Download：74/0  |  Submit date：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
optimalerrorestimatesandmodifiedenergyconservationidentitiesoftheadifdtdschemeonstaggeredgridsfor3dmaxwellsequations 期刊论文
sciencechinamathematics, 2013, 卷号: 56, 期号: 8, 页码: 1705
Authors:  Gao Liping;  Zhang Bo
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Optimal error estimates and modified energy conservation identities of the ADI-FDTD scheme on staggered grids for 3D Maxwell’s equations 期刊论文
Science China Mathematics,, 2013, 卷号: 56, 期号: 8, 页码: 1705-1726
Authors:  Gao LiPing;  Zhang Bo
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A mass conserved splitting method for the nonlinear Schr?dinger equation 期刊论文
Advances in Difference Equations, 2012, 卷号: 2012, 期号: 1
Authors:  Hua,Dong-Ying;  Li,Xiang-Gui;  Zhu,Jiang
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time-splitting  finite difference  dipolar Bose-Einstein condensates  Schr?dinger equation  conservation  
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
Authors:  Gao, Liping;  Zhang, Bo;  Liang, Dong
Favorite  |  View/Download：102/0  |  Submit date：2018/07/30
splitting scheme  alternating direction implicit method  finite-difference time-domain method  stability  convergence  Maxwell's equations  perfectly conducting boundary