12 citations · 43 across the 19 of their papers we have counts for
7 papers · 1 filter
Stability of a Nonlocal Traffic Flow Model for Connected Vehicles
Kuang Huang, Qiang Du
The emerging connected and automated vehicle technologies allow vehicles to perceive and process traffic information in a wide spatial range. Modeling nonlocal interactions between…
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes
Qiang Du, Lili Ju, Xiao Li +1
The ubiquity of semilinear parabolic equations has been illustrated in their numerous applications ranging from physics, biology, to materials and social sciences. In this paper, w…
A non-cooperative meta-modeling game for automated third-party calibrating, validating, and falsifying constitutive laws with parallelized adversarial attacks
Kun Wang, WaiChing Sun, Qiang Du
The evaluation of constitutive models, especially for high-risk and high-regret engineering applications, requires efficient and rigorous third-party calibration, validation and fa…
Nonlocal-in-time dynamics and crossover of diffusive regimes
Qiang Du, Zhi Zhou
We study a simple nonlocal-in-time dynamic system proposed for the effective modeling of complex diffusive regimes in heterogeneous media. We present its solutions and their common…
The Graph Limit of The Minimizer of The Onsager-Machlup Functional and Its Computation
Qiang Du, Tiejun Li, Xiaoguang Li +1
The Onsager-Machlup (OM) functional is well-known for characterizing the most probable transition path of a diffusion process with non-vanishing noise. However, it suffers from a n…
Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films
Ruotai Li, Qiang Du, Lei Zhang
Phase field methods have been widely used to study phase transitions and polarization switching in ferroelectric thin films. In this paper, we develop an efficient numerical scheme…