b'Qiang Du'

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Featured Co-authors

Wei Liu
370 publications
Lei Zhang
366 publications
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151 publications
Lu Zhang
137 publications
Xiao Li
105 publications
Lin Ma
98 publications
Yan Xu
95 publications
Kun Wang
72 publications
Zhi Zhou
61 publications
Jian Liu
51 publications
Haizhao Yang
50 publications

research

∙ 09/19/2023

Γ-convergence of Nonlocal Dirichlet Energies With Penalty Formulations of Dirichlet Boundary Data

We study nonlocal Dirichlet energies associated with a class of nonlocal...

0 Weiye Gan, et al. ∙

research

∙ 04/28/2023

Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array

We present discontinuous Galerkin (DG) methods for solving a first-order...

0 Qiang Du, et al. ∙

research

∙ 02/13/2023

Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing

We analyze the convergence of a nonlocal gradient descent method for min...

0 Hoang Tran, et al. ∙

research

∙ 01/02/2023

Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model

This paper considers numerical discretization of a nonlocal conservation...

0 Kuang Huang, et al. ∙

research

∙ 03/28/2022

A nonlocal Stokes system with volume constraints

In this paper, we introduce a nonlocal model for linear steady Stokes sy...

0 Qiang Du, et al. ∙

research

∙ 03/01/2022

Nonlocal diffusion models with consistent local and fractional limits

For some spatially nonlocal diffusion models with a finite range of nonl...

0 Qiang Du, et al. ∙

research

∙ 01/20/2022

Numerical simulation of singularity propagation modeled by linear convection equations with spatially heterogeneous nonlocal interactions

We study the propagation of singularities in solutions of linear convect...

0 Xiaoxuan Yu, et al. ∙

research

∙ 09/26/2021

On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation

Many nonlocal models have adopted a finite and radially symmetric nonloc...

0 Qiang Du, et al. ∙

research

∙ 06/06/2021

A Physics-Informed Deep Learning Paradigm for Traffic State Estimation and Fundamental Diagram Discovery

Traffic state estimation (TSE) bifurcates into two main categories, mode...

12 Rongye Shi, et al. ∙

research

∙ 03/21/2021

The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation

Identifying hidden dynamics from observed data is a significant and chal...

18 Qiang Du, et al. ∙

research

∙ 01/21/2021

A fast two-stage algorithm for non-negative matrix factorization in streaming data

In this article, we study algorithms for nonnegative matrix factorizatio...

0 Ran Gu, et al. ∙

research

∙ 01/17/2021

Physics-Informed Deep Learning for Traffic State Estimation

Traffic state estimation (TSE), which reconstructs the traffic variables...

13 Rongye Shi, et al. ∙

research

∙ 05/23/2020

Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes

The ubiquity of semilinear parabolic equations has been illustrated in t...

0 Qiang Du, et al. ∙

research

∙ 04/13/2020

A non-cooperative meta-modeling game for automated third-party calibrating, validating, and falsifying constitutive laws with parallelized adversarial attacks

The evaluation of constitutive models, especially for high-risk and high...

7 Kun Wang, et al. ∙

research

∙ 03/07/2020

Nonlocal-in-time dynamics and crossover of diffusive regimes

We study a simple nonlocal-in-time dynamic system proposed for the effec...

0 Qiang Du, et al. ∙

research

∙ 03/06/2020

The Graph Limit of The Minimizer of The Onsager-Machlup Functional and Its Computation

The Onsager-Machlup (OM) functional is well-known for characterizing the...

0 Qiang Du, et al. ∙

research

∙ 02/04/2020

Numerical methods for nonlocal and fractional models

Partial differential equations (PDEs) are used, with huge success, to mo...

0 Marta D'Elia, et al. ∙

research

∙ 12/29/2019

Discovery of Dynamics Using Linear Multistep Methods

Linear multistep methods (LMMs) are popular time discretization techniqu...

0 Rachael Keller, et al. ∙

research

∙ 10/13/2019

Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films

Electric field plays an important role in ferroelectric phase transition...

0 Qiang Du, et al. ∙

research

∙ 09/02/2019

Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues

In this work, we review the connection between the subjects of homogeniz...

0 Qiang Du, et al. ∙

research

∙ 06/15/2019

Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods

In this work, we consider a time-fractional Allen-Cahn equation, where t...

0 Qiang Du, et al. ∙

research

∙ 03/08/2019

A cooperative game for automated learning of elasto-plasticity knowledge graphs and models with AI-guided experimentation

We introduce a multi-agent meta-modeling game to generate data, knowledg...

0 Kun Wang, et al. ∙

research

∙ 12/01/2018

Stochastic Training of Residual Networks: a Differential Equation Viewpoint

During the last few years, significant attention has been paid to the st...

0 Qi Sun, et al. ∙

research

∙ 06/02/2018

Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction

Time series prediction has been studied in a variety of domains. However...

0 Yunzhe Tao, et al. ∙

research

∙ 06/02/2018

Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling

Nonlocal neural networks have been proposed and shown to be effective in...

0 Yunzhe Tao, et al. ∙

research

∙ 05/09/2018

A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization

In this paper, we propose a deep learning approach to tackle the automat...

0 Li Wang, et al. ∙

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