Qiang Du

ORCID

Publication Activity (10 Years)

Years Active: 1992-2024
Publications (10 Years): 61

Top Venues

Publications

James M. Scott, Qiang Du
Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles. SIAM J. Math. Anal. 56 (3) (2024)
Qiang Du, James M. Scott, Xiaochuan Tian
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems. CoRR (2024)
Kuang Huang, Qiang Du
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model. SIAM J. Numer. Anal. 62 (3) (2024)
Kuang Huang, Qiang Du
Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model. CoRR (2023)
Boyuan Chen, Kuang Huang, Sunand Raghupathi, Ishaan Chandratreya, Qiang Du, Hod Lipson
Automated discovery of fundamental variables hidden in experimental data. Nat. Comput. Sci. 2 (7) (2022)
Qiang Du, Xiaochuan Tian, Zhi Zhou
Nonlocal diffusion models with consistent local and fractional limits. CoRR (2022)
Kuang Huang, Qiang Du
Stability of a Nonlocal Traffic Flow Model for Connected Vehicles. SIAM J. Appl. Math. 82 (1) (2022)
Qiang Du, Xin Yang Lu, Chong Wang
The Average Distance Problem with Perimeter-to-Area Ratio Penalization. SIAM J. Math. Anal. 54 (3) (2022)
Qiang Du, Hehu Xie, Xiaobo Yin
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods. SIAM J. Numer. Anal. 60 (4) (2022)
Rongye Shi, Zhaobin Mo, Kuang Huang, Xuan Di, Qiang Du
A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation. IEEE Trans. Intell. Transp. Syst. 23 (8) (2022)
Xiang Li, Qiang Du, Li Luo, Xiao-Ping Wang
An energy-stable scheme for a 2D simple fluid-particle interaction problem. J. Comput. Phys. 424 (2021)
Rachael T. Keller, Qiang Du
Discovery of Dynamics Using Linear Multistep Methods. SIAM J. Numer. Anal. 59 (1) (2021)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes. SIAM Rev. 63 (2) (2021)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes. CoRR (2020)
Qiang Du, Zhi Zhou
Nonlocal-in-time dynamics and crossover of diffusive regimes. CoRR (2020)
Chunxiong Zheng, Qiang Du, Xiang Ma, Jiwei Zhang
Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line. SIAM J. Numer. Anal. 58 (3) (2020)
Qiang Du, Xiaochuan Tian
Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations. Found. Comput. Math. 20 (4) (2020)
Marta D'Elia, Qiang Du, Christian A. Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
Numerical methods for nonlocal and fractional models. CoRR (2020)
Marta D'Elia, Qiang Du, Christian A. Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
Numerical methods for nonlocal and fractional models. Acta Numer. 29 (2020)
Qiang Du, Jiang Yang, Zhi Zhou
Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. J. Sci. Comput. 85 (2) (2020)
Xiang Li, Qiang Du, Xiao-Ping Wang
Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow. SIAM J. Appl. Math. 80 (1) (2020)
Qiang Du, Ruotai Li, Lei Zhang
Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films. SIAM J. Appl. Math. 80 (3) (2020)
Xiaochuan Tian, Qiang Du
Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models. SIAM Rev. 62 (1) (2020)
Qiang Du, Lili Ju, Jianfang Lu
Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems. J. Sci. Comput. 78 (3) (2019)
Qiang Du, Jiang Yang, Zhi Zhou
Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. CoRR (2019)
Rachael T. Keller, Qiang Du
Discovery of Dynamics Using Linear Multistep Methods. CoRR (2019)
Qiang Du, Lili Ju, Jianfang Lu
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Math. Comput. 88 (315) (2019)
Yunzhe Tao, Xiaochuan Tian, Qiang Du
Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling. Multiscale Model. Simul. 17 (3) (2019)
Hadrien Montanelli, Qiang Du
New Error Bounds for Deep ReLU Networks Using Sparse Grids. SIAM J. Math. Data Sci. 1 (1) (2019)
Qiang Du, Björn Engquist, Xiaochuan Tian
Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues. CoRR (2019)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation. SIAM J. Numer. Anal. 57 (2) (2019)
Qiang Du, Ruotai Li, Lei Zhang
Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films. CoRR (2019)
Hwi Lee, Qiang Du
Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models. SIAM J. Numer. Anal. 57 (1) (2019)
Qiang Du, Houde Han, Jiwei Zhang, Chunxiong Zheng
Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. SIAM J. Sci. Comput. 40 (3) (2018)
Yunzhe Tao, Lin Ma, Weizhong Zhang, Jian Liu, Wei Liu, Qiang Du
Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction. CoRR (2018)
Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu
Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. NeurIPS (2018)
Li Wang, Junlin Yao, Yunzhe Tao, Li Zhong, Wei Liu, Qiang Du
A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization. CoRR (2018)
Qiang Du, Xiaochuan Tian
Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling. SIAM J. Appl. Math. 78 (3) (2018)
Hong Liang, Qi Sun, Qiang Du
Data-driven compressive sensing and applications in uncertainty quantification. J. Comput. Phys. 374 (2018)
Qiang Du, Xingjie Helen Li, Jianfeng Lu, Xiaochuan Tian
A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models. SIAM J. Numer. Anal. 56 (3) (2018)
Qi Sun, Qiang Du, Ju Ming
Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. 56 (3) (2018)
Richard Mikaël Slevinsky, Hadrien Montanelli, Qiang Du
A spectral method for nonlocal diffusion operators on the sphere. J. Comput. Phys. 372 (2018)
Qi Sun, Yunzhe Tao, Qiang Du
Stochastic Training of Residual Networks: a Differential Equation Viewpoint. CoRR (2018)
Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. J. Comput. Phys. 363 (2018)
Qi Sun, Qiang Du, Ju Ming
Erratum: Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. 56 (4) (2018)
Li Wang, Junlin Yao, Yunzhe Tao, Li Zhong, Wei Liu, Qiang Du
A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization. IJCAI (2018)
Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu
Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. CoRR (2018)
Chunxiong Zheng, Jiashun Hu, Qiang Du, Jiwei Zhang
Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. SIAM J. Sci. Comput. 39 (5) (2017)
Marta D'Elia, Qiang Du, Max D. Gunzburger, Richard B. Lehoucq
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. Comput. Methods Appl. Math. 17 (4) (2017)
Xiaochuan Tian, Qiang Du
Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization. SIAM J. Math. Anal. 49 (2) (2017)
Qiang Du, Zhan Huang, Philippe G. LeFloch
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. SIAM J. Numer. Anal. 55 (5) (2017)
Qiang Du, Jiang Yang
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. J. Comput. Phys. 332 (2017)
Yunzhe Tao, Xiaochuan Tian, Qiang Du
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Appl. Math. Comput. 305 (2017)
Xiaoqiang Wang, Lili Ju, Qiang Du
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. J. Comput. Phys. 316 (2016)
Yanxiang Zhao, Jiakou Wang, Yanping Ma, Qiang Du
Generalized local and nonlocal master equations for some stochastic processes. Comput. Math. Appl. 71 (11) (2016)
Xiaochuan Tian, Qiang Du, Max D. Gunzburger
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Adv. Comput. Math. 42 (6) (2016)
Lei Zhang, Qiang Du, Zhenzhen Zheng
Optimization-based Shrinking Dimer Method for Finding Transition States. SIAM J. Sci. Comput. 38 (1) (2016)
Qiang Du, Jiang Yang
Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations. SIAM J. Numer. Anal. 54 (3) (2016)
Shibin Dai, Qiang Du
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. J. Comput. Phys. 310 (2016)
Feifei Xu, Max D. Gunzburger, John V. Burkardt, Qiang Du
A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension. Multiscale Model. Simul. 14 (1) (2016)
Jian Zhang, Chunbao Zhou, Yangang Wang, Lili Ju, Qiang Du, Xuebin Chi, Dongsheng Xu, Dexun Chen, Yong Liu, Zhao Liu
Extreme-scale phase field simulations of coarsening dynamics on the sunway taihulight supercomputer. SC (2016)
Lili Ju, Jian Zhang, Liyong Zhu, Qiang Du
Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations. J. Sci. Comput. 62 (2) (2015)
Xiaochuan Tian, Qiang Du
Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems. SIAM J. Numer. Anal. 53 (2) (2015)
Liyong Zhu, Qiang Du
Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. Math. Comput. 83 (285) (2014)
Jie Chen, Desheng Wang, Qiang Du
Linear finite element superconvergence on simplicial meshes. Math. Comput. 83 (289) (2014)
Shibin Dai, Qiang Du
Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility. Multiscale Model. Simul. 12 (4) (2014)
Xuying Zhao, Zhong-Ci Shi, Qiang Du
Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes. J. Sci. Comput. 59 (1) (2014)
Joan Remski, Jingyan Zhang, Qiang Du
On balanced moving mesh methods. J. Comput. Appl. Math. 265 (2014)
Xiaochuan Tian, Qiang Du
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models. SIAM J. Numer. Anal. 52 (4) (2014)
Xiaochuan Tian, Qiang Du
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations. SIAM J. Numer. Anal. 51 (6) (2013)
Qiang Du, Li Tian, Xuying Zhao
A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models. SIAM J. Numer. Anal. 51 (2) (2013)
Qiang Du, Lili Ju, Li Tian, Kun Zhou
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Math. Comput. 82 (284) (2013)
Yicheng Wen, Asok Ray, Qiang Du
A variance-estimation-based stopping rule for symbolic dynamic filtering. Signal Image Video Process. 7 (1) (2013)
Jingyan Zhang, Qiang Du
Shrinking Dimer Dynamics and Its Applications to Saddle Point Search. SIAM J. Numer. Anal. 50 (4) (2012)
B. Chabaud, Qiang Du
A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations. J. Sci. Comput. 51 (1) (2012)
Shibin Dai, Qiang Du
Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility. SIAM J. Appl. Math. 72 (6) (2012)
Qiang Du, Max D. Gunzburger, Richard B. Lehoucq, Kun Zhou
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. SIAM Rev. 54 (4) (2012)
Jingyan Zhang, Qiang Du
Constrained shrinking dimer dynamics for saddle point search with constraints. J. Comput. Phys. 231 (14) (2012)
Hao Pan, Yi-King Choi, Yang Liu, Wenchao Hu, Qiang Du, Konrad Polthier, Caiming Zhang, Wenping Wang
Robust modeling of constant mean curvature surfaces. ACM Trans. Graph. 31 (4) (2012)
Qiang Du, James R. Kamm, Richard B. Lehoucq, Michael L. Parks
A New Approach for a Nonlocal, Nonlinear Conservation Law. SIAM J. Appl. Math. 72 (1) (2012)
Liyong Zhu, Qiang Du
Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. J. Comput. Appl. Math. 236 (5) (2011)
Li Tian, Falai Chen, Qiang Du
Adaptive finite element methods for elliptic equations over hierarchical T-meshes. J. Comput. Appl. Math. 236 (5) (2011)
Qiang Du, Juncheng Wei, Chunyi Zhao
Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current. SIAM J. Math. Anal. 42 (6) (2010)
Kun Zhou, Qiang Du
Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions. SIAM J. Numer. Anal. 48 (5) (2010)
Lei Zhang, Long-Qing Chen, Qiang Du
Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations. J. Comput. Phys. 229 (18) (2010)
Jian Zhang, Sovan Das, Qiang Du
A phase field model for vesicle-substrate adhesion. J. Comput. Phys. 228 (20) (2009)
Jian Zhang, Qiang Du
Numerical Studies of Discrete Approximations to the Allen--Cahn Equation in the Sharp Interface Limit. SIAM J. Sci. Comput. 31 (4) (2009)
Qiang Du, Desheng Wang, Liyong Zhu
On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces. SIAM J. Numer. Anal. 47 (2) (2009)
Qiang Du, Maria Emelianenko
Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme. SIAM J. Numer. Anal. 46 (3) (2008)
Lei Zhang, Long-Qing Chen, Qiang Du
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids. J. Sci. Comput. 37 (1) (2008)
YunKyong Hyon, Qiang Du, Chun Liu
An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials. Multiscale Model. Simul. 7 (2) (2008)
Qiang Du, Jian Zhang
Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations. SIAM J. Sci. Comput. 30 (3) (2008)
Yanzhi Zhang, Weizhu Bao, Qiang Du
The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation. SIAM J. Appl. Math. 67 (6) (2007)
Weiming Feng, Peng Yu, Shenyang Hu, Zi-Kui Liu, Qiang Du, Long-Qing Chen
Spectral implementation of an adaptive moving mesh method for phase-field equations. J. Comput. Phys. 220 (1) (2006)
Weizhu Bao, Qiang Du, Yanzhi Zhang
Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation. SIAM J. Appl. Math. 66 (3) (2006)
Qiang Du, Max D. Gunzburger, Lili Ju, Xiaoqiang Wang
Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration. J. Math. Imaging Vis. 24 (2) (2006)
Qiang Du, Chun Liu, Xiaoqiang Wang
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. 212 (2) (2006)
Qiang Du, Maria Emelianenko
Acceleration schemes for computing centroidal Voronoi tessellations. Numer. Linear Algebra Appl. 13 (2-3) (2006)
Qiang Du, Maria Emelianenko, Lili Ju
Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations. SIAM J. Numer. Anal. 44 (1) (2006)
Peng Yu, Qiang Du, Chun Liu
From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids. Multiscale Model. Simul. 3 (4) (2005)

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Publication Activity (10 Years)

Top Topics

Top Venues

Qiang Du