5 citations · 7 across the 7 of their papers we have counts for
7 papers
A spectral collocation method for elliptic PDEs in irregular domains with Fourier extension
Xianru Chen, Li Lin
Based on the Fourier extension, we propose an oversampling collocation method for solving the elliptic partial differential equations with variable coefficients over arbitrary irre…
Bohmian Trajectories of the Time-oscillating Schrödinger Equations
Dandan Li, Jinqiao Duan, Li Lin +1
Bohmian mechanics is a non-relativistic quantum theory based on a particle approach. In this paper we study the Schrödinger equation with rapidly oscillating potential and the asso…
Convergence rate for homogenization of a nonlocal model with oscillating coefficients
Li Lin, Jinqiao Duan
This letter deals with homogenization of a nonlocal model with Levy-type operator of rapidly oscillating coefficients. This nonlocal model describes mean residence time and other e…
Dynamical behavior of a nonlocal Fokker-Planck equation for a stochastic system with tempered stable noise
Li Lin, Jinqiao Duan, Xiao Wang +1
We characterize a stochastic dynamical system with tempered stable noise, by examining its probability density evolution. This probability density function satisfies a nonlocal Fok…
The persistence of synchronization under -stable noise
Yanjie Zhang, Li Lin, Jinqiao Duan +1
This work is about the synchronization of nonlinear coupled dynamical systems driven by -stable noise. Firstly, we provide a novel technique to construct the relationship betwee…
Effective Approximation for a Nonlocal Stochastic Schrödinger Equation with Oscillating Potential
Li Lin, Meihua Yang, Jinqiao Duan
We study the effective approximation for a nonlocal stochastic Schrodinger equation with a rapidly oscillating, periodically time-dependent potential. We use the natural diffusive…
Effective reduction for a nonlocal Zakai stochastic partial differential equation in data assimilation
Li Lin, Meihua Yang, Jinqiao Duan
We study the effective reduction for a nonlocal stochastic partial differential equation with oscillating coefficients. The nonlocal operator in this stochastic partial differentia…