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Faculty of Science and Tech...
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TANG Tao
2
DI Yana
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WANG Xiang
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2024
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2023
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Stability and convergence
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65N08
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Allen–Cahn equation
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BIT Numerical Mathematics
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A stable and high-order numerical scheme with discrete DtN-type artificial boundary conditions for a 2D peridynamic diffusion model
Journal article
Computers and Mathematics with Applications,2024, volume: 158, pages: 1-12
Authors:
Wang, Jihong
;
Di, Yana
;
Yang, Jerry Zhijian
;
Zhang, Jiwei
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View/Download:17/0
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Submit date:2024/03/12
Artificial boundary condition
DtN-type map
Peridynamic diffusion model
Stability and convergence
Unbounded domain
Stability and convergence of the variable-step time filtered backward Euler scheme for parabolic equations
Journal article
BIT Numerical Mathematics,2023, volume: 63, issue: 3
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:11/0
  |  
Submit date:2023/09/21
Discrete gradient structure
Discrete orthogonal convolution kernels
Stability and convergence
Time filtered backward Euler
Construction and analysis of the quadratic finite volume methods on tetrahedral meshes
Journal article
Science China Mathematics,2023, volume: 66, issue: 4, pages: 855-886
Authors:
Yang, Peng
;
Wang, Xiang
;
Li, Yonghai
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View/Download:12/0
  |  
Submit date:2023/06/30
65N08
65N12
finite volume method
minimum V-angle condition
orthogonal condition
stability and convergence
tetrahedral mesh
Arbitrarily High Order and Fully Discrete Extrapolated RK–SAV/DG Schemes for Phase-field Gradient Flows
Journal article
Journal of Scientific Computing,2022, volume: 93, issue: 2
Authors:
Tang, Tao
;
Wu, Xu
;
Yang, Jiang
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View/Download:14/0
  |  
Submit date:2023/02/14
Allen–Cahn equation
Cahn–Hilliard equation
Convergence and error analysis
Energy stability
Gradient flows
Phase-field models