376 citations · 2.1k across the 24 of their papers we have counts for
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Analysis of adaptive BDF2 scheme for diffusion equations
Hong-lin Liao, Zhimin Zhang
The variable two-step backward differentiation formula (BDF2) is revisited via a new theoretical framework using the positive semi-definiteness of BDF2 convolution kernels and a cl…
Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
A time-fractional Allen-Cahn equation with volume constraint is first proposed by introducing a nonlocal time-dependent Lagrange multiplier. Adaptive linear second-order energy sta…
A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
Hong-lin Liao, Tao Tang, Tao Zhou
In this work, we present a second-order nonuniform time-stepping scheme for the time-fractional Allen-Cahn equation. We show that the proposed scheme preserves the discrete maximum…
A fourth-order compact solver for fractional-in-time fourth-order diffusion equations
Jialing Zhong, Hong-lin Liao, Bingquan Ji +1
A fourth-order compact scheme is proposed for a fourth-order subdiffusion equation with the first Dirichlet boundary conditions. The fourth-order problem is firstly reduced into a…
Adaptive second-order Crank-Nicolson time-stepping schemes for time fractional molecular beam epitaxial growth models
Bingquan Ji, Hong-lin Liao, Yuezheng Gong +1
Adaptive second-order Crank-Nicolson time-stepping methods using the recent scalar auxiliary variable (SAV) approach are developed for the time-fractional Molecular Beam Epitaxial…
Simple maximum-principle preserving time-stepping methods for time-fractional Allen-Cahn equation
Bingquan Ji, Hong-lin Liao, Luming Zhang
Two fast L1 time-stepping methods, including the backward Euler and stabilized semi-implicit schemes, are suggested for the time-fractional Allen-Cahn equation with Caputo's deriva…