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01/29/2023
Discrete gradient structure of a second-order variable-step method for nonlinear integro-differential models
The discrete gradient structure and the positive definiteness of discret...
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10/22/2022
Asymptotically compatible energy of variable-step fractional BDF2 formula for time-fractional Cahn-Hilliard model
A new discrete energy dissipation law of the variable-step fractional BD...
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05/04/2022
Compatible L^2 norm convergence of variable-step L1 scheme for the time-fractional MBE mobel with slope selection
The convergence of variable-step L1 scheme is studied for the time-fract...
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04/27/2022
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations
This is one of our series works on discrete energy analysis of the varia...
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01/04/2022
Energy stability of variable-step L1-type schemes for time-fractional Cahn-Hilliard model
The positive definiteness of discrete time-fractional derivatives is fun...
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01/03/2022
Discrete gradient structures of BDF methods up to fifth-order for the phase field crystal model
The well-known backward difference formulas (BDF) of the third, the four...
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01/03/2022
Stability of variable-step BDF2 and BDF3 methods
We prove that the two-step backward differentiation formula (BDF2) metho...
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02/15/2021
The variable-step L1 scheme preserving a compatible energy law for time-fractional Allen-Cahn equation
In this work, we revisit the adaptive L1 time-stepping scheme for solvin...
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02/07/2021
Mesh-robustness of the variable steps BDF2 method for the Cahn-Hilliard model
The two-step backward differential formula (BDF2) implicit method with u...
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12/19/2020
An energy stable and maximum bound preserving scheme with variable time steps for time fractional Allen-Cahn equation
In this work, we propose a Crank-Nicolson-type scheme with variable step...
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11/26/2020
Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators
The positive definiteness of real quadratic forms with convolution struc...
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08/07/2020
Analysis of the second order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
In this work, we are concerned with the stability and convergence analys...
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08/01/2020
An adaptive BDF2 implicit time-stepping method for the phase field crystal model
An adaptive BDF2 implicit time-stepping method is analyzed for the phase...
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03/01/2020
On energy stable, maximum-principle preserving, second order BDF scheme with variable steps for the Allen-Cahn equation
In this work, we investigate the two-step backward differentiation formu...
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12/24/2019
Analysis of adaptive BDF2 scheme for diffusion equations
The variable two-step backward differentiation formula (BDF2) is revisit...
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09/24/2019
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
A time-fractional Allen-Cahn equation with volume constraint is first pr...
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09/23/2019
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
In this work, we present a second-order nonuniform time-stepping scheme ...
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07/03/2019
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations
A fourth-order compact scheme is proposed for a fourth-order subdiffusio...
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06/27/2019
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Adaptive second-order Crank-Nicolson time-stepping methods using the rec...
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06/27/2019