51 citations · 204 across the 20 of their papers we have counts for
21 papers
Accelerated numerical algorithms for steady states of Gross-Pitaevskii equations coupled with microwaves
Di Wang, Qi Wang
We present two accelerated numerical algorithms for single-component and binary Gross-Pitaevskii (GP) equations coupled with microwaves (electromagnetic fields) in steady state. On…
Global dynamics of a general competition diffusion system in spatially heterogeneous environments
Qi Wang
In this paper, we study a diffusive Lotka-Volterra competition model under homogeneous Dirichlet boundary conditions. We shall discuss the effects of dispersal rate and spatial het…
An Optimal Mass Transport Method for Random Genetic Drift
José A. Carrillo, Lin Chen, Qi Wang
We propose and analyze an optimal mass transport method for a random genetic drift problem driven by a Moran process under weak-selection. The continuum limit, formulated as a reac…
Dynamics of a predator-prey system in open advective heterogeneous environments
Qi Wang
In this paper, we investigate the effect of dispersal and advection on the dynamics of a predator-prey model. More precisely, we show that the linear stability of the semi-trivial…
An energy-based discontinuous Galerkin method for semilinear wave equations
Daniel Appelo, Thomas Hagstrom, Qi Wang +1
We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] to second-order semilinear wave equations. A stability and con…
Stationary Ring and Concentric-Ring Solutions of the Keller-Segel Model with Quadratic Diffusion
Lin Chen, Fanze Kong, Qi Wang
This paper investigates the Keller-Segel model with quadratic cellular diffusion over a disk in with a focus on the formation of its nontrivial patterns. We obtain ex…