65 citations · 188 across the 26 of their papers we have counts for
7 papers · 1 filter
Roundoff error problem in L2-type methods for time-fractional problems
Chaoyu Quan, Shijie Wang, Xu Wu
Roundoff error problems have occurred frequently in interpolation methods of time-fractional equations, which can lead to undesirable results such as the failure of optimal converg…
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…
-norm stability and convergence of an L2-type method on nonuniform meshes for subdiffusion equation
Chaoyu Quan, Xu Wu
This work establishes -norm stability and convergence for an L2 method on general nonuniform meshes when applied to the subdiffusion equation. Under mild constraints on the ti…
Convergence analysis of a solver for the linear Poisson--Boltzmann model
Xuanyu Liu, Yvon Maday, Chaoyu Quan +1
This work investigates the convergence of a domain decomposition method for the Poisson-Boltzmann model that can be formulated as an interior-exterior transmission problem. To stud…
Linear scaling computation of forces for the domain-decomposition linear Poisson--Boltzmann method
Abhinav Jha, Michele Nottoli, Aleksandr Mikhalev +2
The Linearized Poisson--Boltzmann (LPB) equation is a popular and widely accepted model for accounting solvent effects in computational (bio-) chemistry. In the present article we…
A decreasing upper bound of energy for time-fractional phase-field equations
Chaoyu Quan, Tao Tang, Boyi Wang +1
In this article, we study the energy dissipation property of time-fractional Allen-Cahn equation. We propose a decreasing upper bound of energy that decreases with respect to time…