4 citations · 4 across the 2 of their papers we have counts for
4 papers
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…
Highly efficient and energy dissipative schemes for the time fractional Allen-Cahn equation
Dianming Hou, Chuanju Xu
In this paper, we propose and analyze a time-stepping method for the time fractional Allen-Cahn equation. The key property of the proposed method is its unconditional stability for…
Highly efficient schemes for time fractional Allen-Cahn equation using extended SAV approach
Dianming Hou, Hongyi Zhu, Chuanju Xu
In this paper, we propose and analyze high order efficient schemes for the time fractional Allen-Cahn equation. The proposed schemes are based on the L1 discretization for the time…
A Müntz-Collocation spectral method for weakly singular volterra integral equations
Dianming Hou, Yumin Lin, Mejdi Azaiez +1
In this paper we propose and analyze a fractional Jacobi-collocation spectral method for the second kind Volterra integral equations (VIEs) with weakly singular kernel $(x-s)^{-μ},…