5 citations · 23 across the 13 of their papers we have counts for
15 papers
Long time -stability of fast L2-1 method on general nonuniform meshes for subdiffusion equations
Chaoyu Quan, Xu Wu, Jiang Yang
In this work, the global-in-time -stability of a fast L2-1 method on general nonuniform meshes is studied for subdiffusion equations, where the convolution kernel in the C…
Global-in-time -stability of L2-1 method on general nonuniform meshes for subdiffusion equation
Chaoyu Quan, Xu Wu
In this work the L2-1 method on general nonuniform meshes is studied for the subdiffusion equation. When the time step ratio is no less than , a bilinear form associa…
An F-modulated stability framework for multistep methods
Dong Li, Chaoyu Quan, Wen Yang
We introduce a new -modulated energy stability framework for general linear multistep methods. We showcase the theory for the two dimensional molecular beam epitaxy mode…
Negative time splitting is stable
Dong Li, Chaoyu Quan
For high order (than two) in time operator-splitting methods applied to dissipative systems, a folklore issue is the appearance of negative-time/backward-in-time linear evolution o…
On the energy stability of Strang-splitting for Cahn-Hilliard
Dong Li, Chaoyu Quan
We consider a Strang-type second order operator-splitting discretization for the Cahn-Hilliard equation. We introduce a new theoretical framework and prove uniform energy stability…
The operator-splitting method for Cahn-Hilliard is stable
Dong Li, Chaoyu Quan
We prove energy stability of a standard operator-splitting method for the Cahn-Hilliard equation. We establish uniform bound of Sobolev norms of the numerical solution and converge…