48 citations · 101 across the 12 of their papers we have counts for
4 papers · 1 filter
A linear doubly stabilized Crank-Nicolson scheme for the Allen-Cahn equation with a general mobility
Dianming Hou, Zhonghua Qiao, Lili Ju
In this paper, a linear second order numerical scheme is developed and investigated for the Allen-Cahn equation with a general positive mobility. In particular, our fully discrete…
Energy-dissipative spectral renormalization exponential integrator method for gradient flow problems
Dianming Hou, Lili Ju, Zhonghua Qiao
In this paper, we present a novel spectral renormalization exponential integrator method for solving gradient flow problems. Our method is specifically designed to simultaneously s…
Energy stable and maximum bound principle preserving schemes for the Q-tensor flow of liquid crystals
Dianming Hou, Xiaoli Li, Zhonghua Qiao +1
In this paper, we propose two efficient fully-discrete schemes for Q-tensor flow of liquid crystals by using the first- and second-order stabilized exponential scalar auxiliary var…
Energy regularized models for logarithmic SPDEs and their numerical approximations
Jianbo Cui, Dianming Hou, Zhonghua Qiao
Understanding the properties of the stochastic phase field models is crucial to model processes in several practical applications, such as soft matters and phase separation in rand…