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Allen-Cahn equation
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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:10/0
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Submit date:2023/09/21
Discrete gradient structure
Discrete orthogonal convolution kernels
Stability and convergence
Time filtered backward Euler
On Energy Stable, Maximum-Principle Preserving, Second-Order BDF Scheme with Variable Steps for the Allen--Cahn Equation
Journal article
SIAM Journal on Numerical Analysis,2020, volume: 58, issue: 4, pages: 2294–2314
Authors:
Liao, Honglin
;
Tang, Tao
;
Zhou, Tao
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View/Download:15/0
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Submit date:2021/08/05
Allen-Cahn equation
nonuniform BDF2 scheme
energy stability
discrete maximum principle
convergence analysis
Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
Journal article
Communications in Computational Physics,2018, volume: 24, issue: 1, pages: 86-103
Authors:
Li, Dongfang
;
Liao, Honglin
;
Sun, Weiwei
;
Wang, Jilu
;
Zhang, Jiwei
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View/Download:0/0
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Submit date:2021/09/17
Time-fractional nonlinear parabolic problems
L1-Galerkin FEMs
Error estimates
discrete fractional Gronwall type inequality
Linearized schemes