Hong-lin Liao

collaborators

2 papers

math.NA2024

Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula

Jiahe Yue, Hong-lin Liao, Nan Liu

We provide a new theoretical framework for the variable-step deferred correction (DC) methods based on the well-known BDF2 formula. By using the discrete orthogonal convolution ker…

math.NA2023

Asymptotically compatible energy and dissipation law of the nonuniform L2- $1_{σ}$ scheme for time fractional Allen-Cahn model

Hong-lin Liao, Xiaohan Zhu, Hong Sun

We build an asymptotically compatible energy of the variable-step L2- $1_{σ}$ scheme for the time-fractional Allen-Cahn model with the Caputo's fractional derivative of order $α\in(0,…

Mesh-robust stability and convergence of variable-step deferred correction methods based on the BDF2 formula

Asymptotically compatible energy and dissipation law of the nonuniform L2-1σ​ scheme for time fractional Allen-Cahn model

Asymptotically compatible energy and dissipation law of the nonuniform L2- $1_{σ}$ scheme for time fractional Allen-Cahn model