173 citations · 813 across the 30 of their papers we have counts for
30 papers
Adaptive mesh methods for hyperbolic conservation laws with bound-preserving flux limiters
Yaguang Gu, Guanghui Hu, Tao Tang
In this paper, we develop bound-preserving (BP) finite-volume schemes for hyperbolic conservation laws on adaptive moving meshes. For scalar conservative laws, we rewrite the conve…
A linear unconditionally structure-preserving L1 scheme for the time-fractional Allen-Cahn equation
Dianming Hou, Zhonghua Qiao, Tao Tang
As a variational phase-field model, the time-fractional Allen-Cahn (TFAC) equation enjoys the maximum bound principle (MBP) and a variational energy dissipation law. In this work,…
Some Grönwall inequalities for a class of discretizations of time fractional equations on nonuniform meshes
Yuanyuan Feng, Lei Li, Jian-Guo Liu +1
We consider the completely positive discretizations of fractional ordinary differential equations (FODEs) on nonuniform meshes. Making use of the resolvents for nonuniform meshes,…
Discrete energy analysis of the third-order variable-step BDF time-stepping for diffusion equations
Hong-lin Liao, Tao Tang, Tao Zhou
This is one of our series works on discrete energy analysis of the variable-step BDF schemes. In this part, we present stability and convergence analysis of the third-order BDF (BD…
Energy plus maximum bound preserving Runge-Kutta methods for the Allen-Cahn equation
Zhaohui Fu, Tao Tang, Jiang Yang
It is difficult to design high order numerical schemes which could preserve both the maximum bound property (MBP) and energy dissipation law for certain phase field equations. Stro…
Energy diminishing implicit-explicit Runge--Kutta methods for gradient flows
Zhaohui Fu, Tao Tang, Jiang Yang
This study focuses on the development and analysis of a group of high-order implicit-explicit (IMEX) Runge--Kutta (RK) methods that are suitable for discretizing gradient flows wit…