65 citations · 188 across the 26 of their papers we have counts for
20 papers · 1 filter
A semi-generating function approach to the stability of implicit-explicit multistep methods for nonlinear parabolic equations
Hong-lin Liao, Chaoyu Quan, Tao Tang +1
The rigorous stability analysis of high-order implicit-explicit linear multistep (IELM) methods for nonlinear parabolic equations by using discrete energy arguments is a long stand…
A Relaxed Lagrange Multiplier Approach for Phase Field Models
Jinpeng Zhang, Chaoyu Quan, Xiaoping Wang
This paper introduces a novel relaxed Lagrange multiplier (RLM) method for designing efficient and energy-stable numerical schemes for phase-field models. The proposed approach ref…
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…
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…
Energy Stable L2 Schemes for Time-Fractional Phase-Field Equations
Chaoyu Quan, Boyi Wang
In this article, the energy stability of two high-order L2 schemes for time-fractional phase-field equations is established. We propose a reformulation of the L2 operator and also…
Stability and convergence of Strang splitting. Part II: tensorial Allen-Cahn equations
Dong Li, Chaoyu Quan, Jiao Xu
We consider the second-order in time Strang-splitting approximation for vector-valued and matrix-valued Allen-Cahn equations. Both the linear propagator and the nonlinear propagato…
Stability and convergence of Strang splitting. Part I: Scalar Allen-Cahn equation
Dong Li, Chaoyu Quan, Jiao Xu
We consider a class of second-order Strang splitting methods for Allen-Cahn equations with polynomial or logarithmic nonlinearities. For the polynomial case both the linear and the…
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…
On a sinc-type MBE model
Xinyu Cheng, Dong Li, Chaoyu Quan +1
We introduce a new sinc-type molecular beam epitaxy model which is derived from a cosine-type energy functional. The landscape of the new functional is remarkably similar to the cl…
The BDF3/EP3 scheme for MBE with no slope selection is stable
Dong Li, Chaoyu Quan, Wen Yang
We consider the classical molecular beam epitaxy (MBE) model with logarithmic type potential known as no-slope-selection. We employ a third order backward differentiation (BDF3) in…
Numerical Energy Dissipation for Time-Fractional Phase-Field Equations
Chaoyu Quan, Tao Tang, Jiang Yang
The numerical integration of phase-field equations is a delicate task which needs to recover at the discrete level intrinsic properties of the solution such as energy dissipation a…
A Domain Decomposition Method for the Poisson-Boltzmann Solvation Models
Chaoyu Quan, Benjamin Stamm, Yvon Maday
In this paper, a domain decomposition method for the Poisson-Boltzmann (PB) solvation model that is widely used in computational chemistry is proposed. This method, called ddLPB fo…