365 citations · 677 across the 17 of their papers we have counts for
4 papers · 1 filter
The effects of simple density-dependent prey diffusion and refuge in a predator-prey system
Leoncio Rodriguez Quinones, Jia Zhao, Luis Gordillo
We study a spatial (two-dimensional) Rosenzweig-MacArthur model under the following assumptions: prey movement follows a nonlinear diffusion, preys have a refuge zone (…
Arbitrarily High-order Linear Schemes for Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a paradigm for developing arbitrarily high order, linear, unconditionally energy stable numerical algorithms for gradient flow models. We apply the energy quadratization…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Thermodynamically Consistent Gradient Flow Models
Yuezheng Gong, Jia Zhao, Qi Wang
We present a systematical approach to developing arbitrarily high order, unconditionally energy stable numerical schemes for thermodynamically consistent gradient flow models that…
Arbitrarily High-order Unconditionally Energy Stable Schemes for Gradient Flow Models Using the Scalar Auxiliary Variable Approach
Yuezheng Gong, Jia Zhao, Qi Wang
In this paper, we propose a novel family of high-order numerical schemes for the gradient flow models based on the scalar auxiliary variable (SAV) approach, which is named the high…