199 citations · 659 across the 34 of their papers we have counts for
30 papers · 1 filter
High-order BDF convolution quadrature for subdiffusion models with a singular source term
Jiankang Shi, Minghua Chen
Anomalous diffusion is often modelled in terms of the subdiffusion equation, which can involve a weakly singular source term. For this case, many predominant time stepping methods,…
Modified BDF2 schemes for subdiffusion models with a singular source term
Minghua Chen, Jiankang Shi, Zhi Zhou
The aim of this paper is to study the time stepping scheme for approximately solving the subdiffusion equation with a weakly singular source term. In this case, many popular time s…
Fast algebraic multigrid for block-structured dense and Toeplitz-like-plus-Cross systems arising from nonlocal diffusion problems
Minghua Chen, Rongjun Cao, Stefano Serra-Capizzano
Algebraic multigrid (AMG) is one of the most efficient iterative methods for solving large sparse system of equations. However, how to build/check restriction and prolongation oper…
Correction of high-order approximation for subdiffusion
Jiankang Shi, Minghua Chen, Yubin Yan +1
The subdiffusion equations with a Caputo fractional derivative of order arise in a wide variety of practical problems, which is describing the transport processes, in…
Variable step-size BDF3 method for Allen-Cahn equation
Minghua Chen, Fan Yu, Qingdong Zhang +1
In this work, we analyze the three-step backward differentiation formula (BDF3) method for solving the Allen-Cahn equation on variable grids. For BDF2 method, the discrete orthogon…
Weighted and shifted BDF2 methods on variable grids
Minghua Chen, Fan Yu, Qingdong Zhang
Variable steps implicit-explicit multistep methods for PDEs have been presented in [17], where the zero-stability is studied for ODEs; however, the stability analysis still remains…