102 citations · 190 across the 17 of their papers we have counts for
17 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…
Priori Error Estimate of Deep Mixed Residual Method for Elliptic PDEs
Lingfeng Li, Xue-cheng Tai, Jiang Yang +1
In this work, we derive a priori error estimate of the mixed residual method when solving some elliptic PDEs. Our work is the first theoretical study of this method. We prove that…
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…
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…
Robust Convergence of Parareal Algorithms with Arbitrarily High-order Fine Propagators
Jiang Yang, Zhaoming Yuan, Zhi Zhou
The aim of this paper is to analyze the robust convergence of a class of parareal algorithms for solving parabolic problems. The coarse propagator is fixed to the backward Euler me…