1 citations · 1 across the 8 of their papers we have counts for
9 papers
A GeV Gamma-Ray Spectral Excess in the Fermi Blazar 4FGL J0136.5+3906
Shi-Ju Kang, Yue Yin, Yong-Gang Zheng +2
We report the detection of a {19} GeV gamma-ray spectral excess (peak energy in observer frame) at 5.7 significance (3 degrees of freedom, without correction for tri…
Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using General Multipliers
Chaoyu Quan, Huaijin Wang, Xuping Wang +1
A unified framework is proposed to establish the energy dissipation of implicit-explicit linear multistep methods (IMEX-LMMs) for gradient flows, based on general multipliers that…
Energy Dissipation Analysis of Implicit-Explicit Linear Multistep Methods for Gradient Flows Using a Simple Multiplier
Chaoyu Quan, Huaijin Wang, Xuping Wang +1
This paper proposes a theoretical framework for establishing the energy dissipation of general implicit-explicit linear multistep methods (IMEX-LMMs) for gradient flows, by constru…
A generalized matrix-valued Allen--Cahn model and its numerical solution
Yaru Liu, Chaoyu Quan, Dong Wang
This paper introduces a generalized matrix-valued Allen--Cahn model, where the unknown matrix-valued field belongs to with dimension . By…
Unconditional energy dissipation of Strang splitting for the matrix-valued Allen-Cahn equation
Chaoyu Quan, Tao Tang, Dong Wang
The energy dissipation property of the Strang splitting method was first demonstrated for the matrix-valued Allen-Cahn (MAC) equation under restrictive time-step constraints [J. Co…
Maximum bound preservation of exponential integrators for Allen-Cahn equations
Chaoyu Quan, Pingzhong Zheng, Zhi Zhou
We develop and analyze a class of arbitrarily high-order, maximum bound preserving time-stepping schemes for solving Allen-Cahn equations. These schemes are constructed within the…
Stability and Convergence of Strang Splitting Method for the Allen-Cahn Equation with Homogeneous Neumann Boundary Condition
Chaoyu Quan, Zhijun Tan, Yanyao Wu
The Strang splitting method has been widely used to solve nonlinear reaction-diffusion equations, with most theoretical convergence analysis assuming periodic boundary conditions.…
Maximum bound principle and original energy dissipation of arbitrarily high-order rescaled exponential time differencing Runge-Kutta schemes for Allen--Cahn equations
Chaoyu Quan, Xiaoming Wang, Pinzhong Zheng +1
The energy dissipation law and the maximum bound principle are two critical physical properties of the Allen--Cahn equations. While many existing time-stepping methods are known to…
Maximum bound principle preserving and energy decreasing exponential time differencing schemes for the matrix-valued Allen-Cahn equation
Yaru Liu, Chaoyu Quan, Dong Wang
This work delves into the exponential time differencing (ETD) schemes for the matrix-valued Allen-Cahn equation. In fact, the maximum bound principle (MBP) for the first- and secon…