48 citations · 101 across the 12 of their papers we have counts for
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math.NA2022★ 3 cited
A linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility
Dianming Hou, Lili Ju, Zhonghua Qiao
In this paper, we propose and analyze a linear second-order numerical method for solving the Allen-Cahn equation with a general mobility. The proposed fully-discrete scheme is care…
math.NA2022★ 1 cited
A linear adaptive second-order backward differentiation formulation scheme for the phase field crystal equation
Dianming Hou, Zhonghua Qiao
In this paper, we present and analyze a linear fully discrete second order scheme with variable time steps for the phase field crystal equation. More precisely, we construct a line…
math.NA2022★ 4 cited
An implicit--explicit second order BDF numerical scheme with variable steps for gradient flows
Dianming Hou, Zhonghua Qiao
In this paper, we propose and analyze an efficient implicit--explicit (IMEX) second order in time backward differentiation formulation (BDF2) scheme with variable time steps for gr…