Qiang Du - RankMe

164 papers A* 2A 3Journal 156Unranked 2

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	MUSA-PINN: Multi-scale Weak-form Physics-Informed Neural Networks for Fluid Flow in Complex Geometries. CoRR Weizheng Zhang, Xunjie Xie, Hao Pan, Xiaowei Duan, Bingteng Sun, Qiang Du, Lin Lu
2025	J	`jnl`	Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems. Math. Comput. Qiang Du, James M. Scott, Xiaochuan Tian
2025	J	`jnl`	Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing. Comput. Optim. Appl. Hoang Tran, Qiang Du, Guannan Zhang
2025	—	`conf`	DualMS: Implicit Dual-Channel Minimal Surface Optimization for Heat Exchanger Design. SIGGRAPH (Conference Paper Track) Weizheng Zhang, Hao Pan, Lin Lu, Xiaowei Duan, Xin Yan, Ruonan Wang, Qiang Du
2025	J	`jnl`	Nonlocal Problems with Local Boundary Conditions II: Green's Identities and Regularity of Solutions. SIAM J. Math. Anal. James M. Scott, Qiang Du
2025	J	`jnl`	Semi-implicit Projection Schemes for Manifold Constraint Gradient Flows. J. Sci. Comput. Qiang Du, Shuang Liu, Jiang Yang
2024	J	`jnl`	Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model. SIAM J. Numer. Anal. Kuang Huang, Qiang Du
2024	J	`jnl`	Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems. CoRR Qiang Du, James M. Scott, Xiaochuan Tian
2024	J	`jnl`	Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array. J. Sci. Comput. Qiang Du, Huaiyu Li, Michael I. Weinstein, Lu Zhang
2024	J	`jnl`	Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods. CoRR Qiang Du, Hehu Xie, Xiaobo Yin, Jiwei Zhang
2024	J	`jnl`	Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles. SIAM J. Math. Anal. James M. Scott, Qiang Du
2024	J	`jnl`	Nonlocal Stokes equation with relaxation on the divergence free equation. CoRR Yajie Zhang, Qiang Du, Zuoqiang Shi
2024	J	`jnl`	Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems. CoRR Qiang Du, Lili Ju, Jianfang Lu, Xiaochuan Tian
2024	J	`jnl`	\({\varGamma }\)-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data. SIAM J. Math. Anal. Weiye Gan, Qiang Du, Zuoqiang Shi
2023	J	`jnl`	Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model. CoRR Kuang Huang, Qiang Du
2023	J	`jnl`	Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing. CoRR Hoang Tran, Qiang Du, Guannan Zhang
2023	J	`jnl`	Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array. CoRR Qiang Du, Huaiyu Li, Michael I. Weinstein, Lu Zhang
2023	J	`jnl`	Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets. J. Nonlinear Sci. Qiang Du, Amir Sagiv
2022	J	`jnl`	A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation. IEEE Trans. Intell. Transp. Syst. Rongye Shi, Zhaobin Mo, Kuang Huang, Xuan Di, Qiang Du
2022	J	`jnl`	Automated discovery of fundamental variables hidden in experimental data. Nat. Comput. Sci. Boyuan Chen, Kuang Huang, Sunand Raghupathi, Ishaan Chandratreya, Qiang Du, Hod Lipson
2022	J	`jnl`	Nonlocal diffusion models with consistent local and fractional limits. CoRR Qiang Du, Xiaochuan Tian, Zhi Zhou
2022	J	`jnl`	Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions. J. Sci. Comput. Xiaoxuan Yu, Yan Xu, Qiang Du
2022	J	`jnl`	On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods. SIAM J. Numer. Anal. Qiang Du, Hehu Xie, Xiaobo Yin
2022	J	`jnl`	On the Ternary Ohta-Kawasaki Free Energy and Its One-dimensional Global Minimizers. J. Nonlinear Sci. Zirui Xu, Qiang Du
2022	J	`jnl`	Stability of a Nonlocal Traffic Flow Model for Connected Vehicles. SIAM J. Appl. Math. Kuang Huang, Qiang Du
2022	J	`jnl`	The Average Distance Problem with Perimeter-to-Area Ratio Penalization. SIAM J. Math. Anal. Qiang Du, Xin Yang Lu, Chong Wang
2022	J	`jnl`	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation. SIAM J. Numer. Anal. Qiang Du, Yiqi Gu, Haizhao Yang, Chao Zhou
2021	J	`jnl`	A Physics-Informed Deep Learning Paradigm for Traffic State Estimation and Fundamental Diagram Discovery. CoRR Rongye Shi, Zhaobin Mo, Kuang Huang, Xuan Di, Qiang Du
2021	J	`jnl`	An energy-stable scheme for a 2D simple fluid-particle interaction problem. J. Comput. Phys. Xiang Li, Qiang Du, Li Luo, Xiao-Ping Wang
2021	J	`jnl`	Discovering State Variables Hidden in Experimental Data. CoRR Boyuan Chen, Kuang Huang, Sunand Raghupathi, Ishaan Chandratreya, Qiang Du, Hod Lipson
2021	J	`jnl`	Discovery of Dynamics Using Linear Multistep Methods. SIAM J. Numer. Anal. Rachael T. Keller, Qiang Du
2021	J	`jnl`	Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes. SIAM Rev. Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
2021	J	`jnl`	On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation. CoRR Qiang Du, Hehu Xie, Xiaobo Yin
2021	J	`jnl`	Physics-Informed Deep Learning for Traffic State Estimation. CoRR Rongye Shi, Zhaobin Mo, Kuang Huang, Xuan Di, Qiang Du
2021	J	`jnl`	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation. CoRR Qiang Du, Yiqi Gu, Haizhao Yang, Chao Zhou
2020	J	`jnl`	Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models. SIAM Rev. Xiaochuan Tian, Qiang Du
2020	J	`jnl`	Driving and Routing Game for Autonomous Vehicles on a Network. CoRR Kuang Huang, Xu Chen, Xuan Di, Qiang Du
2020	J	`jnl`	Energy Decaying Phase-Field Model for Fluid-Particle Interaction in Two-Phase Flow. SIAM J. Appl. Math. Xiang Li, Qiang Du, Xiao-Ping Wang
2020	J	`jnl`	Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations. Found. Comput. Math. Qiang Du, Xiaochuan Tian
2020	J	`jnl`	Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes. CoRR Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
2020	—	`ch.`	Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues. 75 Years of Mathematics of Computation Qiang Du, Björn Engquist, Xiaochuan Tian
2020	J	`jnl`	Nonlocal-in-time dynamics and crossover of diffusive regimes. CoRR Qiang Du, Zhi Zhou
2020	J	`jnl`	Numerical methods for nonlocal and fractional models. Acta Numer. Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
2020	J	`jnl`	Numerical methods for nonlocal and fractional models. CoRR Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou
2020	J	`jnl`	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. Chunxiong Zheng, Qiang Du, Xiang Ma, Jiwei Zhang
2020	J	`jnl`	Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. J. Sci. Comput. Qiang Du, Jiang Yang, Zhi Zhou
2020	J	`jnl`	Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films. SIAM J. Appl. Math. Qiang Du, Ruotai Li, Lei Zhang
2019	J	`jnl`	A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels. J. Sci. Comput. Qiang Du, Xiaobo Yin
2019	J	`jnl`	A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games. CoRR Kuang Huang, Xuan Di, Qiang Du, Xi Chen
2019	J	`jnl`	A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Math. Comput. Qiang Du, Lili Ju, Jianfang Lu
2019	J	`jnl`	Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems. J. Sci. Comput. Qiang Du, Lili Ju, Jianfang Lu
2019	J	`jnl`	Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models. SIAM J. Numer. Anal. Hwi Lee, Qiang Du
2019	J	`jnl`	Discovery of Dynamics Using Linear Multistep Methods. CoRR Rachael T. Keller, Qiang Du
2019	J	`jnl`	Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation. SIAM J. Numer. Anal. Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
2019	J	`jnl`	Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues. CoRR Qiang Du, Björn Engquist, Xiaochuan Tian
2019	J	`jnl`	New Error Bounds for Deep ReLU Networks Using Sparse Grids. SIAM J. Math. Data Sci. Hadrien Montanelli, Qiang Du
2019	J	`jnl`	Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling. Multiscale Model. Simul. Yunzhe Tao, Xiaochuan Tian, Qiang Du
2019	—	`conf`	Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach. ITSC Kuang Huang, Xuan Di, Qiang Du, Xi Chen
2019	J	`jnl`	Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach. CoRR Kuang Huang, Xuan Di, Qiang Du, Xi Chen
2019	J	`jnl`	Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. CoRR Qiang Du, Jiang Yang, Zhi Zhou
2019	J	`jnl`	Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films. CoRR Qiang Du, Ruotai Li, Lei Zhang
2018	J	`jnl`	A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models. SIAM J. Numer. Anal. Qiang Du, Xingjie Helen Li, Jianfeng Lu, Xiaochuan Tian
2018	A*	`conf`	A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization. IJCAI Li Wang, Junlin Yao, Yunzhe Tao, Li Zhong, Wei Liu, Qiang Du
2018	J	`jnl`	A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization. CoRR Li Wang, Junlin Yao, Yunzhe Tao, Li Zhong, Wei Liu, Qiang Du
2018	J	`jnl`	A spectral method for nonlocal diffusion operators on the sphere. J. Comput. Phys. Richard Mikaël Slevinsky, Hadrien Montanelli, Qiang Du
2018	J	`jnl`	Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. Qi Sun, Qiang Du, Ju Ming
2018	J	`jnl`	Data-driven compressive sensing and applications in uncertainty quantification. J. Comput. Phys. Hong Liang, Qi Sun, Qiang Du
2018	J	`jnl`	Erratum: Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. Qi Sun, Qiang Du, Ju Ming
2018	J	`jnl`	Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction. CoRR Yunzhe Tao, Lin Ma, Weizhong Zhang, Jian Liu, Wei Liu, Qiang Du
2018	A*	`conf`	Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. NeurIPS Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu
2018	J	`jnl`	Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. CoRR Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu
2018	J	`jnl`	Numerical Solution of a Two-Dimensional Nonlocal Wave Equation on Unbounded Domains. SIAM J. Sci. Comput. Qiang Du, Houde Han, Jiwei Zhang, Chunxiong Zheng
2018	J	`jnl`	Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling. SIAM J. Appl. Math. Qiang Du, Xiaochuan Tian
2018	J	`jnl`	Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. J. Comput. Phys. Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao
2018	J	`jnl`	Stochastic Training of Residual Networks: a Differential Equation Viewpoint. CoRR Qi Sun, Yunzhe Tao, Qiang Du
2017	J	`jnl`	Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. J. Comput. Phys. Qiang Du, Jiang Yang
2017	J	`jnl`	Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. SIAM J. Numer. Anal. Qiang Du, Zhan Huang, Philippe G. LeFloch
2017	J	`jnl`	Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes. Comput. Methods Appl. Math. Marta D'Elia, Qiang Du, Max D. Gunzburger, Richard B. Lehoucq
2017	J	`jnl`	Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Appl. Math. Comput. Yunzhe Tao, Xiaochuan Tian, Qiang Du
2017	J	`jnl`	Numerical Solution of the Nonlocal Diffusion Equation on the Real Line. SIAM J. Sci. Comput. Chunxiong Zheng, Jiashun Hu, Qiang Du, Jiwei Zhang
2017	J	`jnl`	Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization. SIAM J. Math. Anal. Xiaochuan Tian, Qiang Du
2016	J	`jnl`	A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension. Multiscale Model. Simul. Feifei Xu, Max D. Gunzburger, John V. Burkardt, Qiang Du
2016	J	`jnl`	Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations. SIAM J. Numer. Anal. Qiang Du, Jiang Yang
2016	J	`jnl`	Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains. Adv. Comput. Math. Xiaochuan Tian, Qiang Du, Max D. Gunzburger
2016	J	`jnl`	Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. J. Comput. Phys. Shibin Dai, Qiang Du
2016	J	`jnl`	Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models. J. Comput. Phys. Xiaoqiang Wang, Lili Ju, Qiang Du
2016	A	`conf`	Extreme-scale phase field simulations of coarsening dynamics on the sunway taihulight supercomputer. SC Jian Zhang, Chunbao Zhou, Yangang Wang, Lili Ju, Qiang Du, Xuebin Chi, Dongsheng Xu, Dexun Chen, Yong Liu, Zhao Liu
2016	J	`jnl`	Generalized local and nonlocal master equations for some stochastic processes. Comput. Math. Appl. Yanxiang Zhao, Jiakou Wang, Yanping Ma, Qiang Du
2016	J	`jnl`	Optimization-based Shrinking Dimer Method for Finding Transition States. SIAM J. Sci. Comput. Lei Zhang, Qiang Du, Zhenzhen Zheng
2015	J	`jnl`	Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations. J. Sci. Comput. Lili Ju, Jian Zhang, Liyong Zhu, Qiang Du
2015	J	`jnl`	Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems. SIAM J. Numer. Anal. Xiaochuan Tian, Qiang Du
2015	J	`jnl`	Optimization of Subdivision Invariant Tetrahedra. Int. J. Comput. Geom. Appl. David J. T. Liu, Qiang Du
2014	J	`jnl`	Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models. SIAM J. Numer. Anal. Xiaochuan Tian, Qiang Du
2014	J	`jnl`	Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility. Multiscale Model. Simul. Shibin Dai, Qiang Du
2014	J	`jnl`	Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes. J. Sci. Comput. Xuying Zhao, Zhong-Ci Shi, Qiang Du
2014	J	`jnl`	Linear finite element superconvergence on simplicial meshes. Math. Comput. Jie Chen, Desheng Wang, Qiang Du
2014	J	`jnl`	Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. Math. Comput. Liyong Zhu, Qiang Du
2014	J	`jnl`	On balanced moving mesh methods. J. Comput. Appl. Math. Joan Remski, Jingyan Zhang, Qiang Du
2013	J	`jnl`	A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models. SIAM J. Numer. Anal. Qiang Du, Li Tian, Xuying Zhao
2013	J	`jnl`	A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models. Math. Comput. Qiang Du, Lili Ju, Li Tian, Kun Zhou
2013	J	`jnl`	A variance-estimation-based stopping rule for symbolic dynamic filtering. Signal Image Video Process. Yicheng Wen, Asok Ray, Qiang Du
2013	J	`jnl`	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations. SIAM J. Numer. Anal. Xiaochuan Tian, Qiang Du
2012	J	`jnl`	A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations. J. Sci. Comput. Brandon Chabaud, Qiang Du
2012	J	`jnl`	A New Approach for a Nonlocal, Nonlinear Conservation Law. SIAM J. Appl. Math. Qiang Du, James R. Kamm, Richard B. Lehoucq, Michael L. Parks
2012	J	`jnl`	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. SIAM Rev. Qiang Du, Max D. Gunzburger, Richard B. Lehoucq, Kun Zhou
2012	J	`jnl`	Constrained shrinking dimer dynamics for saddle point search with constraints. J. Comput. Phys. Jingyan Zhang, Qiang Du
2012	J	`jnl`	Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility. SIAM J. Appl. Math. Shibin Dai, Qiang Du
2012	J	`jnl`	Robust modeling of constant mean curvature surfaces. ACM Trans. Graph. Hao Pan, Yi-King Choi, Yang Liu, Wenchao Hu, Qiang Du, Konrad Polthier, Caiming Zhang, Wenping Wang
2012	J	`jnl`	Shrinking Dimer Dynamics and Its Applications to Saddle Point Search. SIAM J. Numer. Anal. Jingyan Zhang, Qiang Du
2011	J	`jnl`	Adaptive finite element methods for elliptic equations over hierarchical T-meshes. J. Comput. Appl. Math. Li Tian, Falai Chen, Qiang Du
2011	J	`jnl`	Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. J. Comput. Appl. Math. Liyong Zhu, Qiang Du
2010	J	`jnl`	Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations. J. Comput. Phys. Lei Zhang, Long-Qing Chen, Qiang Du
2010	J	`jnl`	Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions. SIAM J. Numer. Anal. Kun Zhou, Qiang Du
2010	J	`jnl`	Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current. SIAM J. Math. Anal. Qiang Du, Juncheng Wei, Chunyi Zhao
2009	J	`jnl`	A phase field model for vesicle-substrate adhesion. J. Comput. Phys. Jian Zhang, Sovan Das, Qiang Du
2009	J	`jnl`	Numerical Studies of Discrete Approximations to the Allen--Cahn Equation in the Sharp Interface Limit. SIAM J. Sci. Comput. Jian Zhang, Qiang Du
2009	J	`jnl`	On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces. SIAM J. Numer. Anal. Qiang Du, Desheng Wang, Liyong Zhu
2008	J	`jnl`	Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations. SIAM J. Sci. Comput. Qiang Du, Jian Zhang
2008	J	`jnl`	An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials. Multiscale Model. Simul. YunKyong Hyon, Qiang Du, Chun Liu
2008	J	`jnl`	Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids. J. Sci. Comput. Lei Zhang, Long-Qing Chen, Qiang Du
2008	J	`jnl`	Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme. SIAM J. Numer. Anal. Qiang Du, Maria Emelianenko
2007	J	`jnl`	The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation. SIAM J. Appl. Math. Yanzhi Zhang, Weizhu Bao, Qiang Du
2006	J	`jnl`	Acceleration schemes for computing centroidal Voronoi tessellations. Numer. Linear Algebra Appl. Qiang Du, Maria Emelianenko
2006	J	`jnl`	Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration. J. Math. Imaging Vis. Qiang Du, Max D. Gunzburger, Lili Ju, Xiaoqiang Wang
2006	J	`jnl`	Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations. SIAM J. Numer. Anal. Qiang Du, Maria Emelianenko, Lili Ju
2006	J	`jnl`	Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation. SIAM J. Appl. Math. Weizhu Bao, Qiang Du, Yanzhi Zhang
2006	J	`jnl`	Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. Qiang Du, Chun Liu, Xiaoqiang Wang
2006	J	`jnl`	Spectral implementation of an adaptive moving mesh method for phase-field equations. J. Comput. Phys. Weiming Feng, Peng Yu, Shenyang Hu, Zi-Kui Liu, Qiang Du, Long-Qing Chen
2005	J	`jnl`	Anisotropic Centroidal Voronoi Tessellations and Their Applications. SIAM J. Sci. Comput. Qiang Du, Desheng Wang
2005	J	`jnl`	Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Math. Comput. Qiang Du, Lili Ju
2005	J	`jnl`	FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations. Multiscale Model. Simul. Qiang Du, Chun Liu, Peng Yu
2005	J	`jnl`	Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes. SIAM J. Numer. Anal. Qiang Du, Lili Ju
2005	J	`jnl`	From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids. Multiscale Model. Simul. Peng Yu, Qiang Du, Chun Liu
2005	J	`jnl`	Retrieving Topological Information for Phase Field Models. SIAM J. Appl. Math. Qiang Du, Chun Liu, Xiaoqiang Wang
2004	A	`conf`	Centroidal Voronoi Tessellation Based Algorithms for Vector Fields Visualization and Segmentation. IEEE Visualization Qiang Du, Xiaoqiang Wang
2004	J	`jnl`	Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow. SIAM J. Sci. Comput. Weizhu Bao, Qiang Du
2004	J	`jnl`	Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem. SIAM J. Numer. Anal. Qiang Du, Max D. Gunzburger, L. Steven Hou, J. Lee
2004	A	`conf`	Tesselation and Clustering by Mixture Models and Their Parallel Implementations. SDM Qiang Du, Xiaoqiang Wang
2003	J	`jnl`	Constrained Centroidal Voronoi Tessellations for Surfaces. SIAM J. Sci. Comput. Qiang Du, Max D. Gunzburger, Lili Ju
2003	J	`jnl`	Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media. SIAM J. Numer. Anal. Eric T. Chung, Qiang Du, Jun Zou
2003	J	`jnl`	Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. Qiang Du, Ben-yu Guo, Jie Shen
2003	J	`jnl`	Existence of Weak Solutions to Some Vortex Density Models. SIAM J. Math. Anal. Qiang Du, Ping Zhang
2002	J	`jnl`	Critical Magnetic Field and Asymptotic Behavior of Superconducting Thin Films. SIAM J. Math. Anal. Shijin Ding, Qiang Du
2002	J	`jnl`	Efficient Parallel Algorithms for Parabolic Problems. SIAM J. Numer. Anal. Qiang Du, Mo Mu, Zi-Niu Wu
2002	J	`jnl`	Grid generation and optimization based on centroidal Voronoi tessellations. Appl. Math. Comput. Qiang Du, Max D. Gunzburger
2002	J	`jnl`	Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises. SIAM J. Numer. Anal. Qiang Du, Tianyu Zhang
2002	J	`jnl`	Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Parallel Comput. Lili Ju, Qiang Du, Max D. Gunzburger
2001	J	`jnl`	Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals. SIAM J. Numer. Anal. Qiang Du, Ben-yu Guo, Jie Shen
2001	J	`jnl`	Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence. SIAM J. Numer. Anal. Qiang Du
2000	J	`jnl`	A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms. SIAM J. Numer. Anal. Qiang Du, Max D. Gunzburger
2000	J	`jnl`	Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices. SIAM J. Numer. Anal. Qiang Du
2000	J	`jnl`	Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients. SIAM J. Numer. Anal. Zhiming Chen, Qiang Du, Jun Zou
1999	J	`jnl`	Analysis and computation of a mean-field model for superconductivity. Numerische Mathematik Qiang Du, Max D. Gunzburger, Hyesuk K. Lee
1999	J	`jnl`	Centroidal Voronoi Tessellations: Applications and Algorithms. SIAM Rev. Qiang Du, Vance Faber, Max D. Gunzburger
1999	J	`jnl`	Numerical Algorithms of the Lawrence-Doniach Model for Layered Superconductors and their Parallel Implementation. SIAM J. Sci. Comput. Qiang Du, Paul Gray
1999	J	`jnl`	Studies of a Ginzburg-Landau Model for SIAM J. Appl. Math. Qiang Du
1998	J	`jnl`	Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity. Math. Comput. Qiang Du
1997	J	`jnl`	Impulsive Stretching of a Surface in a Viscous Fluid. SIAM J. Appl. Math. Chien-Cheng Chang, Chang-Yi Wang, Milan Miklavcic, Qiang Du
1997	J	`jnl`	The quasi-Laguerre iteration. Math. Comput. Qiang Du, Ming Jin, Tien-Yien Li, Zhonggang Zeng
1996	J	`jnl`	High-Kappa Limits of the Time-Dependent Ginzburg-Landau Model. SIAM J. Appl. Math. Qiang Du, Paul Gray
1996	J	`jnl`	Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems. SIAM J. Sci. Comput. Qiang Du, Ming Jin, Tien-Yien Li, Zhonggang Zeng
1995	J	`jnl`	On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors. SIAM J. Appl. Math. S. Jonathan Chapman, Qiang Du, Max D. Gunzburger
1993	J	`jnl`	Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors. SIAM J. Appl. Math. Qiang Du, Max D. Gunzburger, Janet S. Peterson
1992	J	`jnl`	Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity. SIAM Rev. Qiang Du, Max D. Gunzburger, Janet S. Peterson