166 citations · 316 across the 24 of their papers we have counts for
6 papers · 1 filter
Pattern formation of a pathway-based diffusion model: linear stability analysis and an asymptotic preserving method
Yaming Zhang, Ning Jiang, Jiangyan Liang +2
We investigate the linear stability analysis of a pathway-based diffusion model (PBDM), which characterizes the dynamics of the engineered Escherichia coli populations [X. Xue and…
A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations
Xiaojiang Zhang, Peng Song, Yi Shi +1
The opacity of FRTE depends on not only the material temperature but also the frequency, whose values may vary several orders of magnitude for different frequencies. The gray radia…
A Spatial-Temporal asymptotic preserving scheme for radiation magnetohydrodynamics in the equilibrium and non-equilibrium diffusion limit
Shi Jin, Min Tang, Xiaojiang Zhang
The radiation magnetohydrodynamics (RMHD) system couples the ideal magnetohydrodynamics equations with a gray radiation transfer equation. The main challenge is that the radiation…
An accurate front capturing scheme for tumor growth models with a free boundary limit
Jian-Guo Liu, Min Tang, Li Wang +1
We consider a class of tumor growth models under the combined effects of density-dependent pressure and cell multiplication, with a free boundary model as its singular limit when t…
Uniform convergent scheme for strongly anisotropic diffusion equations with closed field lines
Yihong Wang, Wenjun Ying, Min Tang
In magnetized plasma, the magnetic field confines particles around field lines. The ratio between the intensity of the parallel and perpendicular viscosity or heat conduction may r…
An Asymptotic Preserving method for strongly anisotropic diffusion equations based on field line integration
Min Tang, Yihong Wang
In magnetized plasma, the magnetic field confines the particles around the field lines. The anisotropy intensity in the viscosity and heat conduction may reach the order of $10^{12…