Qiang Du

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All published works

Action	Title	Year	Authors
+ PDF Chat	Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions	2025	James M. Scott Qiang Du
+ PDF Chat	Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing	2025	Hoang Tran Qiang Du Guannan Zhang
+	Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	2024	Qiang Du James Scott Xiaochuan Tian
+	${\varGamma }$-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data	2024	Weiye Gan Qiang Du Zuoqiang Shi
+ PDF Chat	Which Spaces can be Embedded in $L_p$-type Reproducing Kernel Banach Space? A Characterization via Metric Entropy	2024	Yiping Lu Der‐Yuh Lin Qiang Du
+ PDF Chat	Ohta–Kawasaki energy for amphiphiles: Asymptotics and phase-field simulations	2024	Qiang Du James M. Scott Zirui Xu
+ PDF Chat	Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods	2024	Qiang Du Hehu Xie Xiaobo Yin Jiwei Zhang
+ PDF Chat	Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems	2024	Qiang Du Lili Ju Jianfang Lu Xiaochuan Tian
+	Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems	2024	Qiang Du Lili Ju Jianfang Lu Xiaochuan Tian
+ PDF Chat	Ginzburg--Landau Functionals in the Large-Graph Limit	2024	Edith Zhang J. F. Scott Qiang Du Mason A. Porter
+	Computational and Analytical Studies of a New Nonlocal Phase-Field Crystal Model in Two Dimensions	2024	Qiang Du Kai Wang Jiang Yang
+ PDF Chat	Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions	2024	Qiang Du Kai Wang Jiang Yang
+ PDF Chat	Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles	2024	James M. Scott Qiang Du
+ PDF Chat	Nonlocal Stokes equation with relaxation on the divergence free equation	2024	Yajie Zhang Qiang Du Zuoqiang Shi
+ PDF Chat	Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems	2024	Qiang Du James M. Scott Xiaochuan Tian
+	Ohta-Kawasaki energy for amphiphiles: asymptotics and phase-field simulations	2024	Qiang Du James M. Scott Zirui Xu
+	Revealing excited states of rotational Bose-Einstein condensates	2023	Jianyuan Yin Zhen Huang Yongyong Cai Qiang Du Lei Zhang
+ PDF Chat	Minimizing Optimal Transport for Functions with Fixed-Size Nodal Sets	2023	Qiang Du Amir Sagiv
+ PDF Chat	Bifurcation and fission in the liquid drop model: A phase-field approach	2023	Zirui Xu Qiang Du
+ PDF Chat	Nonlocal-In-Time Dynamics and Crossover of Diffusive Regimes	2023	Qiang Du Qiang Du Zhi Zhou
+	Revealing Excited States of Rotational Bose-Einstein Condensates	2023	Jianyuan Yin Zhen Huang Yongyong Cai Qiang Du Lei Zhang
+	Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model	2023	Kuang Yu Huang Qiang Du
+	Nonlocal boundary-value problems with local boundary conditions	2023	James M. Scott Qiang Du
+	Convergence analysis for a nonlocal gradient descent method via directional Gaussian smoothing	2023	Hoang Tran Qiang Du Guannan Zhang
+	Bifurcation and fission in the liquid drop model: a phase-field approach	2023	Zirui Xu Qiang Du
+	Discontinuous Galerkin methods for a first-order semi-linear hyperbolic continuum model of a topological resonator dimer array	2023	Qiang Du Huaiyu Li Michael I. Weinstein Lu Zhang
+ PDF Chat	Nonlocal Boundary-Value Problems with Local Boundary Conditions	2023	James M. Scott Qiang Du
+ PDF Chat	A space-time nonlocal traffic flow model: Relaxation representation and local limit	2023	Qiang Du Kuang Huang James M. Scott Wen Shen
+	Nonlocal problems with local boundary conditions I: function spaces and variational principles	2023	James M. Scott Qiang Du
+ PDF Chat	Nonlocal Diffusion Models with Consistent Local and Fractional Limits	2023	Qiang Du Xiaochuan Tian Zhi Zhou
+	Nonlocal problems with local boundary conditions II: Green's identities and regularity of solutions	2023	James M. Scott Qiang Du
+	$ L^{p} $ compactness criteria with an application to variational convergence of some nonlocal energy functionals	2023	Qiang Du Tadele Mengesha Xiaochuan Tian
+	Special issue dedicated to Professor Max Gunzburger on the occasion of his 75th birthday	2022	Pavel Bochev Marta D’Elia Qiang Du Steve Hou Clayton Webster Guannan Zhang
+ PDF Chat	On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods	2022	Qiang Du Hehu Xie Xiaobo Yin
+ PDF Chat	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	2022	Qiang Du Yiqi Gu Haizhao Yang Chao Zhou
+ PDF Chat	Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions	2022	Xiaoxuan Yu Yan Xu Qiang Du
+ PDF Chat	On the Ternary Ohta–Kawasaki Free Energy and Its One-dimensional Global Minimizers	2022	Zirui Xu Qiang Du
+ PDF Chat	The Average Distance Problem with Perimeter-to-Area Ratio Penalization	2022	Qiang Du Xin Lü Chong Wang
+ PDF Chat	Robustness test of the <i>spacegroupMining</i> model for determining space groups from atomic pair distribution function data	2022	Ling Lan Chia-Hao Liu Qiang Du Simon J. L. Billinge
+ PDF Chat	The average-distance problem with an Euler elastica penalization	2022	Qiang Du Xin Lu Chong Wang
+ PDF Chat	Nonlocal trace spaces and extension results for nonlocal calculus	2022	Qiang Du Xiaochuan Tian Cory Wright Yue Yu
+ PDF Chat	Stability of a Nonlocal Traffic Flow Model for Connected Vehicles	2022	Kuang Huang Qiang Du
+ PDF Chat	Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	2022	Qiang Du Tadele Mengesha Xiaochuan Tian
+	Nonlocal diffusion models with consistent local and fractional limits	2022	Qiang Du Xiaochuan Tian Zhi Zhou
+	The average distance problem with an Euler elastica penalization	2022	Qiang Du Xin Lu Chong Wang
+	High average power ultrafast laser technologies for driving future advanced accelerators	2022	Leily Kiani Tong Zhou S.-W. Bahk J. Bromage David Bruhwiler E. M. Campbell Zenghu Chang Enam Chowdhury M. C. Downer Qiang Du
+	A nonlocal Stokes system with volume constraints	2022	Qiang Du Zuoqiang Shi
+	Feedback and control systems for future linear colliders: White Paper for Snowmass 2021 Topical Group AF07-RF	2022	D. Filippetto Carlos Serrano Qiang Du Lawrence Doolittle Dan Wang Michalis Bachtis P. Musumeci Alexander Scheinker John Power M. Bellaveglia
+	Numerical simulation of singularity propagation modeled by linear convection equations with spatially heterogeneous nonlocal interactions	2022	Xiaoxuan Yu Yan Xu Qiang Du
+	The average distance problem with perimeter-to-area ratio penalization	2022	Qiang Du Xin Lü Chong Wang
+	Digital Low-Level RF control system for Accumulator Ring at Advanced Light Source Upgrade Project	2022	Qiang Du Shreeharshini Murthy Michael Betz Kevin J. Bender W. S. Lewis Najm Us Saqib Sergio Paiagua Lawrence Doolittle Carlos Serrano Benjamin Flugstad
+	A Space-time Nonlocal Traffic Flow Model: Relaxation Representation and Local Limit	2022	Qiang Du Kuang Huang J. F. Scott Wen Shen
+ PDF Chat	Second-order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	2022	Hwi Lee Qiang Du
+ PDF Chat	A Nonlocal Stokes System with Volume Constraints	2022	Qiang Du Zuoqiang Shi Zuoqiang Shi
+	Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon	2021	Xiaoxuan Yu Yan Xu Qiang Du
+	On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation.	2021	Qiang Du Xie He-hu Xiaobo Yin
+	A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation	2021	Rongye Shi Zhaobin Mo Kuang Huang Xuan Di Qiang Du
+ PDF Chat	Censored Stable Subordinators and Fractional Derivatives	2021	Qiang Du Lorenzo Toniazzi Zirui Xu
+ PDF Chat	Dynamic driving and routing games for autonomous vehicles on networks: A mean field game approach	2021	Kuang Huang Xu Chen Xuan Di Qiang Du
+ PDF Chat	Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films	2021	R. Li Qiang Du Lei Zhang
+	Physics-Informed Deep Learning for Traffic State Estimation	2021	Rongye Shi Zhaobin Mo Kuang Huang Xuan Di Qiang Du
+	A fast two-stage algorithm for non-negative matrix factorization in streaming data	2021	Ran Gu Qiang Du Simon J. L. Billinge
+ PDF Chat	Discovery of Dynamics Using Linear Multistep Methods	2021	Rachael T. Keller Qiang Du
+	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	2021	Qiang Du Yiqi Gu Haizhao Yang Chao Zhou
+	Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	2021	Qiang Du Tadele Mengesha Xiaochuan Tian
+	Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes	2021	Qiang Du Lili Ju Xiao Li Zhonghua Qiao
+	Second order accurate Dirichlet boundary conditions for linear nonlocal diffusion problems	2021	Hwi Lee Qiang Du
+	Minimizing optimal transport for functions with fixed-size nodal sets	2021	Qiang Du Amir Sagiv
+ PDF Chat	Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions	2021	Hadrien Montanelli Haizhao Yang Qiang Du
+	Discovering State Variables Hidden in Experimental Data	2021	Boyuan Chen Kuang Huang Sunand Raghupathi Ishaan Chandratreya Qiang Du Hod Lipson
+	Nonlocal Trace Spaces and Extension Results for Nonlocal Calculus	2021	Qiang Du Xiaochuan Tian Cory Wright Yue Yu
+	On the convergence to local limit of nonlocal models with approximated interaction neighborhoods	2021	Qiang Du Hehu Xie Xiaobo Yin
+	Driving and Routing Game for Autonomous Vehicles on a Network.	2020	Kuang Yu Huang Chen Xu Xuan Di Qiang Du
+ PDF Chat	A non-cooperative meta-modeling game for automated third-party calibrating, validating and falsifying constitutive laws with parallelized adversarial attacks	2020	Kun Wang WaiChing Sun Qiang Du
+ PDF Chat	Time-Fractional Allen–Cahn Equations: Analysis and Numerical Methods	2020	Qiang Du Jiang Yang Zhi Zhou
+	Positive semidefinite penalty method for quadratically constrained quadratic programming	2020	Ran Gu Qiang Du Ya-xiang Yuan
+ PDF Chat	Numerical methods for nonlocal and fractional models	2020	Marta D’Elia Qiang Du Christian Glusa Max Gunzburger Xiaochuan Tian Zhi Zhou
+ PDF Chat	Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions	2020	Qiang Du
+ PDF Chat	The graph limit of the minimizer of the Onsager-Machlup functional and its computation	2020	Qiang Du Tiejun Li Xiaoguang Li Weiqing Ren
+	Efficient variational phase field method for phase transitions in ferroelectric thin films	2020	Ruotai Li Qiang Du Lei Zhang
+	Numerical methods for nonlocal and fractional models	2020	Marta D’Elia Qiang Du Christian Glusa Max Gunzburger Xiaochuan Tian Zhi Zhou
+ PDF Chat	The phase field method for geometric moving interfaces and their numerical approximations	2020	Qiang Du Xiaobing Feng
+ PDF Chat	A game-theoretic framework for autonomous vehicles velocity control: Bridging microscopic differential games and macroscopic mean field games	2020	Kuang Huang Xuan Di Qiang Du Xi Chen
+	The Graph Limit of The Minimizer of The Onsager-Machlup Functional and Its Computation	2020	Qiang Du Tiejun Li Xiaoguang Li Weiqing Ren
+	Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes	2020	Qiang Du Lili Ju Xiao Li Zhonghua Qiao
+	Stability and Error Analysis for a Second-Order Fast Approximation of the Local and Nonlocal Diffusion Equations on the Real Line	2020	Chunxiong Zheng Qiang Du Xiang Ma Jiwei Zhang
+ PDF Chat	Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films	2020	Qiang Du Ruotai Li Lei Zhang
+	Stability of a Nonlocal Traffic Flow Model for Connected Vehicles	2020	Kuang Huang Qiang Du
+ PDF Chat	Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues	2020	Qiang Du Björn Engquist Xiaochuan Tian
+	Nonlocal-in-time dynamics and crossover of diffusive regimes	2020	Qiang Du Zhi Zhou
+ PDF Chat	A modified limited memory steepest descent method motivated by an inexact super-linear convergence rate analysis	2019	Ran Gu Qiang Du
+ PDF Chat	Stabilizing Traffic via Autonomous Vehicles: A Continuum Mean Field Game Approach	2019	Kuang Huang Xuan Di Qiang Du Xi Chen
+ PDF Chat	Preface to the Focused Issue on Fractional Derivatives and General Nonlocal Models	2019	Qiang Du Jan S. Hesthaven Changpin Li Chi‐Wang Shu Tao Tang
+ PDF Chat	Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications	2019	Hwi Lee Qiang Du
+ PDF Chat	Algorithm for distance list extraction from pair distribution functions	2019	Ran Gu Soham Banerjee Qiang Du Simon J. L. Billinge
+ PDF Chat	Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations	2019	Qiang Du Xiaochuan Tian
+ PDF Chat	A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels	2019	Qiang Du Xiaobo Yin
+ PDF Chat	Using a machine learning approach to determine the space group of a structure from the atomic pair distribution function	2019	Chia-Hao Liu Yunzhe Tao Daniel Hsu Qiang Du Simon J. L. Billinge
+	Stochastic representation of solution to nonlocal-in-time diffusion	2019	Qiang Du Lorenzo Toniazzi Zhi Zhou
+	A Discontinuous Galerkin Method with Penalty for One-Dimensional Nonlocal Diffusion Problems	2019	Qiang Du Lili Ju Jianfang Lu Xiaochuan Tian
+ PDF Chat	A cooperative game for automated learning of elasto-plasticity knowledge graphs and models with AI-guided experimentation	2019	Kun Wang WaiChing Sun Qiang Du
+	Nonlocal Modeling, Analysis, and Computation	2019	Qiang Du
+	Deep ReLU networks overcome the curse of dimensionality for bandlimited functions	2019	Hadrien Montanelli Haizhao Yang Qiang Du
+ PDF Chat	New Error Bounds for Deep ReLU Networks Using Sparse Grids	2019	Hadrien Montanelli Qiang Du
+	Algorithm for distance list extraction from pair distribution functions	2019	Ran Gu Soham Banerjee Qiang Du Simon J. L. Billinge
+ PDF Chat	Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation	2019	Qiang Du Lili Ju Xiao Li Zhonghua Qiao
+	A conforming DG method for linear nonlocal models with integrable kernels	2019	Qiang Du Xiaobo Yin
+	Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications	2019	Hwi Lee Qiang Du
+	Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods	2019	Qiang Du Jiang Yang Zhi Zhou
+	Maximum principle preserving exponential time differencing schemes for the nonlocal Allen-Cahn equation	2019	Qiang Du Lili Ju Xiao Li Zhonghua Qiao
+	Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues	2019	Qiang Du Björn Engquist Xiaochuan Tian
+	Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films	2019	Qiang Du Ruotai Li Lei Zhang
+	On uniform second order nonlocal approximations to linear two-point boundary value problems	2019	Qiang Du Jiwei Zhang Chunxiong Zheng
+	Discovery of Dynamics Using Linear Multistep Methods	2019	Rachael T. Keller Qiang Du
+	The Phase Field Method for Geometric Moving Interfaces and Their Numerical Approximations	2019	Qiang Du Xiaobing Feng
+	Stochastic Training of Residual Networks: a Differential Equation Viewpoint.	2018	Qi Sun Yunzhe Tao Qiang Du
+	Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems	2018	Qiang Du Lili Ju Jianfang Lu
+	A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization	2018	Li Wang Junlin Yao Yunzhe Tao Li Zhong Wei Liu Qiang Du
+ PDF Chat	A spectral method for nonlocal diffusion operators on the sphere	2018	Richard Mikaël Slevinsky Hadrien Montanelli Qiang Du
+	Mathematics of Smoothed Particle Hydrodynamics, Part I: a Nonlocal Stokes Equation	2018	Qiang Du Xiaochuan Tian
+	Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions	2018	Qiang Du Yunzhe Tao Xiaochuan Tian Jiang Yang
+	Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation	2018	Qiang Du Lili Ju Li Xiao Zhonghua Qiao
+ PDF Chat	A Quasi-nonlocal Coupling Method for Nonlocal and Local Diffusion Models	2018	Qiang Du Xingjie Helen Li Jianfeng Lu Xiaochuan Tian
+	A spectral method for nonlocal diffusion operators on the sphere	2018	Richard Mikaël Slevinsky Hadrien Montanelli Qiang Du
+	$L^{p}$ compactness criteria with an application to variational convergence of some nonlocal energy functionals	2018	Qiang Du Tadele Mengesha Xiaochuan Tian
+	A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization	2018	Li Wang Junlin Yao Yunzhe Tao Li Zhong Wei Liu Qiang Du
+	Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling	2018	Yunzhe Tao Qi Sun Qiang Du Wei Liu
+	Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction	2018	Yunzhe Tao Lin Ma Weizhong Zhang Jian Liu Wei Liu Qiang Du
+	Stochastic representation of solution to nonlocal-in-time diffusion	2018	Qiang Du Lorenzo Toniazzi Zhi Zhou
+	Mathematics of Smoothed Particle Hydrodynamics: a Study via Nonlocal Stokes Equations	2018	Qiang Du Xiaochuan Tian
+ PDF Chat	Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling	2018	Qiang Du Xiaochuan Tian
+ PDF Chat	A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation	2018	Yanxiang Zhao Yanping Ma Hui Sun Bo Li Qiang Du
+	Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling	2018	Yunzhe Tao Qi Sun Qiang Du Wei Liu
+	Stochastic Training of Residual Networks: a Differential Equation Viewpoint	2018	Qi Sun Yunzhe Tao Qiang Du
+	Deep ReLU networks lessen the curse of dimensionality	2017	Hadrien Montanelli Qiang Du
+	A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems	2017	Qiang Du Lili Ju Jianfang Lu
+	Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes	2017	Marta D’Elia Qiang Du Max Gunzburger Richard B. Lehoucq
+	Asymptotically compatible schemes for space-time nonlocal diffusion equations	2017	An Chen Qiang Du Changpin Li Zhi Zhou
+ PDF Chat	General neck condition for the limit shape of budding vesicles	2017	Yang Pan Qiang Du Z. C. Tu
+ PDF Chat	A conservative nonlocal convection–diffusion model and asymptotically compatible finite difference discretization	2017	Hao Tian Lili Ju Qiang Du
+	Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models	2017	Qiang Du Zhan Huang Philippe G. LeFloch
+	Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization	2017	Xiaochuan Tian Qiang Du
+	Numerical Solution of the Nonlocal Diffusion Equation on the Real Line	2017	Chunxiong Zheng Jiashun Hu Qiang Du Jiwei Zhang
+	Stability of nonlocal Dirichlet integrals and implications for peridynamic correspondence material modeling	2017	Qiang Du Xiaochuan Tian
+	A New Phase-Field Approach to Variational Implicit Solvation of Charged Molecules with the Coulomb-Field Approximation	2017	Yanxiang Zhao Yanping Ma Hui Sun Bo Li Qiang Du
+	New error bounds for deep networks using sparse grids	2017	Hadrien Montanelli Qiang Du
+	A quasinonlocal coupling method for nonlocal and local diffusion models	2017	Qiang Du Xingjie Helen Li Jianfeng Lu Xiaochuan Tian
+ PDF Chat	NONLOCAL CONSERVATION LAWS. I. A NEW CLASS OF MONOTONICITY-PRESERVING MODELS	2016	Qiang Du Zhan Huang Philippe G. LeFloch
+ PDF Chat	Analysis of a nonlocal-in-time parabolic equation	2016	Qiang Du Jiang Yang Zhi Zhou
+ PDF Chat	Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications	2016	Qiang Du Jiang Yang
+	Artificial Boundary Conditions for Nonlocal Heat Equations on Unbounded Domain	2016	Wei Zhang Jiang Yang Jiwei Zhang Qiang Du
+	Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains	2016	Xiaochuan Tian Qiang Du Max Gunzburger
+	A Class of High Order Nonlocal Operators	2016	Xiaochuan Tian Qiang Du
+	Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations	2016	Qiang Du Jiang Yang
+	Generalized local and nonlocal master equations for some stochastic processes	2015	Yanxiang Zhao Jiakou Wang Yanping Ma Qiang Du
+ PDF Chat	From peridynamics to stochastic jump process: Illustrations of nonlocal balance laws and nonlocal calculus framework	2015	Qiang Du
+	Fractional Diffusion on Bounded Domains	2015	Özlem Defterli Marta D’Elia Qiang Du Max Gunzburger Richard B. Lehoucq Mark M. Meerschaert
+	Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems	2015	Xiaochuan Tian Qiang Du
+	Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations	2014	Lili Ju Jian Zhang Liyong Zhu Qiang Du
+	Markov jump processes with finite variance on bounded domains.	2014	Richard B. Lehoucq Stephen Bond Marta D’Elia Qiang Du Max Gunzburger Nate Burch Scott A. McKinley S. Rowe
+	Nonlocal convection-diffusion volume-constrained problems and jump processes	2014	Qiang Du Zhan Huang Richard B. Lehoucq
+	Finite range jump processes and volume–constrained diffusion problems	2014	Marta D’Elia Qiang Du Max Gunzburger Richard B. Lehoucq
+	On balanced moving mesh methods	2013	Joan Remski Jingyan Zhang Qiang Du
+	Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems	2013	Liyong Zhu Qiang Du
+	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations	2013	Xiaochuan Tian Qiang Du
+	Analysis of a scalar nonlocal peridynamic model with a sign changing kernel	2013	Tadele Mengesha Qiang Du
+	Shrinking Dimer Dynamics and Its Applications to Saddle Point Search	2012	Jingyan Zhang Qiang Du
+	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints	2012	Qiang Du Max Gunzburger Richard B. Lehoucq Kun Zhou
+	Degenerate ground state and quantum tunneling in rotating condensates	2012	Qiang Du Martine Le Berre Yves Pomeau
+	A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations	2011	Brandon Chabaud Qiang Du
+	Asymptotic analysis of a diffuse interface relaxation to a nonlocal optimal partition problem	2010	Qiang Du Jingyan Zhang
+ PDF Chat	Adhesion of multicomponent vesicle membranes	2010	Yanxiang Zhao Sovan Lal Das Qiang Du
+	Application of Population Dynamics to Study Heterotypic Cell Aggregations in the Near-Wall Region of a Shear Flow	2010	Yanping Ma Jiakou Wang Shile Liang Cheng Dong Qiang Du
+ PDF Chat	Advances in Studies and Applications of Centroidal Voronoi Tessellations	2010	Qiang Du Max Gunzburger Lili Ju
+	An efficient explicit/implicit domain decomposition method for convection‐diffusion equations	2009	Liyong Zhu Guangwei Yuan Qiang Du
+ PDF Chat	A constrained string method and its numerical analysis	2009	Qiang Du Lei Zhang
+ PDF Chat	An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations	2009	Liyong Zhu Guangwei Yuan Qiang Du
+	Numerical approximations of a norm-preserving gradient flow and applications to an optimal partition problem	2008	Qiang Du Fanghua Lin
+	Analysis of a mixed finite-volume discretization of fourth-order equations on general surfaces	2008	Qiang Du Lili Ju Lixin Tian
+ PDF Chat	A maximum entropy principle based closure method for macro-micro models of polymeric materials	2008	YunKyong Hyon José A. Carrillo Qiang Du Chun Liu
+	Acceleration schemes for computing centroidal Voronoi tessellations	2006	Qiang Du Maria Emelianenko
+	Monte carlo simulation of heterotypic cell aggregation in nonlinear shear flow	2006	Jiakou Wang Margaret J. Slattery Meghan Hoskins Shile Liang Cheng Dong Qiang Du
+	Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations	2006	Qiang Du Maria Emelianenko Lili Ju
+	Modelling and Simulations of Multi-component Lipid Membranes and Open Membranes via Diffusive Interface Approaches	2006	Xiaoqiang Wang Qiang Du
+	Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions	2005	Qiang Du Chun Liu Xiaoqiang Wang
+	Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications	2005	Qiang Du Wen‐Xiang Zhu
+	The optimal centroidal Voronoi tessellations and the gersho's conjecture in the three-dimensional space	2005	Qiang Du Desheng Wang
+ PDF Chat	Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes	2005	Qiang Du Lili Ju
+	Multilevel and adaptive methods for some nonlinear optimization problems	2005	Qiang Du Maria Emelianenko
+	STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES	2004	Qiang Du Wen-xiangZhu
+ PDF Chat	Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow	2004	Weizhu Bao Qiang Du
+	STABILITY ANALYSIS AND APPLICATION OF THE EXPONENTIAL TIME DIFFERENCING SCHEMES 1)	2004	Qiang Du Wen‐Xiang Zhu
+ PDF Chat	Dissipative Flow and Vortex Shedding in the Painlevé Boundary Layer of a Bose-Einstein Condensate	2003	Amandine Aftalion Qiang Du Yves Pomeau
+	Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals	2003	Qiang Du Ben-Yu Guo Jie Shen
+	Existence of Weak Solutions to Some Vortex Density Models	2003	Qiang Du Ping Zhang
+	Reduced order modeling of complex systems	2003	John Burkardt Qiang Du Max Gunzburger
+ PDF Chat	Analysis of a linear fluid-structure interaction problem	2003	Qiang Du Max Gunzburger Lisheng Hou J. Lee
+	Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow	2003	Weizhu Bao Qiang Du
+	Numerical studies of MacQueen's k-means algorithm for computing the centroidal voronoi tessellations	2002	Qiang Du Tak-Win Wong
+ PDF Chat	The bifurcation diagrams for the Ginzburg–Landau system of superconductivity	2002	Amandine Aftalion Qiang Du
+ PDF Chat	The global minimizers and vortex solutions to a Ginzburg-Landau model of superconducting films	2002	Shijin Ding Qiang Du
+ PDF Chat	Vortices in a rotating Bose-Einstein condensate: Critical angular velocities and energy diagrams in the Thomas-Fermi regime	2001	Amandine Aftalion Qiang Du
+ PDF Chat	Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals	2001	Qiang Du Ben-Yu Guo Jie Shen
+ PDF Chat	An upwinding mixed finite element method for a mean field model of superconducting vortices	2000	Zhiming Chen Qiang Du
+ PDF Chat	Simplified models of superconducting-normal-superconducting junctions and their numerical approximations	1999	Qiang Du Joan Remski
+ PDF Chat	Centroidal Voronoi Tessellations: Applications and Algorithms	1999	Qiang Du Vance Faber Max Gunzburger
+ PDF Chat	Analysis and Convergence of a Covolume Approximation of the Ginzburg--Landau Model of Superconductivity	1998	Qiang Du R. A. Nicolaides Xiaonan Wu
+ PDF Chat	Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity	1998	Qiang Du
+ PDF Chat	The quasi-Laguerre iteration	1997	Qiang Du Ming Jin Taiyong Li Zhonggang Zeng
+	Quasi-Laguerre Iteration in Solving Symmetric Tridiagonal Eigenvalue Problems	1996	Qiang Du Ming Jin T. Y. Li Zhonggang Zeng
+	A model for variable thickness superconducting thin films	1996	S. Jonathan Chapman Qiang Du Max Gunzburger
+	Analysis and finite element approximation of optimal control problems for a Ladyzhenskaya model for stationary, incompressible, viscous flows	1995	Qiang Du Max Gunzburger Lisheng Hou
+	Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity	1994	Qiang Du
+	Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity	1994	Qiang Du
+	Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors	1993	Qiang Du Max Gunzburger Janet Peterson
+	The critical temperature and gap solution in the Bardeen-Cooper-Schrieffer theory of superconductivity	1993	Qiang Du Yisong Yang
+ PDF Chat	Spectral Viscosity Approximations to Multidimensional Scalar Conservation Laws	1993	Gui‐Qiang Chen Qiang Du Eitan Tadmor
+	High order approximation of the Frobenius-Perron operator	1993	Jiu Ding Qiang Du Taiyong Li
+ PDF Chat	Spectral viscosity approximations to multidimensional scalar conservation laws	1993	Gui‐Qiang Chen Qiang Du Eitan Tadmor
+	Error estimates of the Markov finite approximation of the Frobenius-Perron operator	1992	Carter Chiu Qiang Du T. Y. Li
+	Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity	1992	Qiang Du Max Gunzburger Janet Peterson
+	Numerical Analysis of a Continuum Model of Phase Transition	1991	Qiang Du R. A. Nicolaides
+	Analysis of a Ladyzhenskaya model for incompressible viscous flow	1991	Qiang Du Max Gunzburger
+	Finite-Element Approximations of a Ladyzhenskaya Model for Stationary Incompressible Viscous Flow	1990	Qiang Du Max Gunzburger

Common Coauthors

Coauthor	Papers Together
Xiaochuan Tian	30
Max Gunzburger	18
Lili Ju	16
Zhi Zhou	12
Kuang Huang	10
Yunzhe Tao	9
Jiang Yang	9
Hadrien Montanelli	7
Marta D’Elia	7
Richard B. Lehoucq	6
Xuan Di	6
Zirui Xu	6
James M. Scott	6
Xiaobo Yin	5
Jianfang Lu	5
Tadele Mengesha	5
Simon J. L. Billinge	5
Wei Liu	5
Zhonghua Qiao	5
Ran Gu	5
Hwi Lee	4
Liyong Zhu	4
Yanxiang Zhao	4
Yanping Ma	4
Chong Wang	4
James M. Scott	4
Haizhao Yang	4
Zuoqiang Shi	3
Ruotai Li	3
Chunxiong Zheng	3
Maria Emelianenko	3
Amandine Aftalion	3
Qi Sun	3
Jiwei Zhang	3
Yan Xu	3
Zhan Huang	3
Lei Zhang	3
Lorenzo Toniazzi	3
Gui‐Qiang Chen	2
Eitan Tadmor	2
Xiaoxuan Yu	2
Jiakou Wang	2
Christian Glusa	2
Xingjie Helen Li	2
Jie Shen	2
Junlin Yao	2
Richard Mikaël Slevinsky	2
Yongyong Cai	2
Joan Remski	2
Chao Zhou	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints	2012	Qiang Du Max Gunzburger Richard B. Lehoucq Kun Zhou	55
+	Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations	2013	Xiaochuan Tian Qiang Du	36
+	Nonlocal Operators with Applications to Image Processing	2008	Guy Gilboa Stanley Osher	31
+ PDF Chat	Nonlocal Diffusion Problems	2010	Fuensanta Andreu-Vaillo José M. Mazón Julio D. Rossi J. Julián Toledo-Melero	24
+	Nonlocal Modeling, Analysis, and Computation	2019	Qiang Du	22
+ PDF Chat	Analysis of a nonlocal-in-time parabolic equation	2016	Qiang Du Jiang Yang Zhi Zhou	21
+	Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen--Cahn Equations	2016	Qiang Du Jiang Yang	18
+	None	1999	Peter W. Bates Adam Chmaj	17
+ PDF Chat	Image Recovery via Nonlocal Operators	2009	Yifei Lou Xiaoqun Zhang Stanley Osher Andrea L. Bertozzi	16
+	Analysis of a scalar nonlocal peridynamic model with a sign changing kernel	2013	Tadele Mengesha Qiang Du	15
+	CLASSICAL, NONLOCAL, AND FRACTIONAL DIFFUSION EQUATIONS ON BOUNDED DOMAINS	2011	Nathanial Burch Richard B. Lehoucq	15
+	Analysis and Approximation of the Ginzburg–Landau Model of Superconductivity	1992	Qiang Du Max Gunzburger Janet Peterson	14
+	The random walk's guide to anomalous diffusion: a fractional dynamics approach	2000	Ralf Metzler J. Klafter	13
+	Some Nonclassical Trends in Parabolic and Parabolic-like Evolutions	2003	Paul C. Fife	13
+ PDF Chat	An estimate in the spirit of Poincaré's inequality	2004	Augusto C. Ponce	13
+	Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems	2015	Xiaochuan Tian Qiang Du	13
+ PDF Chat	A conservative nonlocal convection–diffusion model and asymptotically compatible finite difference discretization	2017	Hao Tian Lili Ju Qiang Du	12
+ PDF Chat	Centroidal Voronoi Tessellations: Applications and Algorithms	1999	Qiang Du Vance Faber Max Gunzburger	12
+ PDF Chat	Another look at Sobolev spaces	2001	Jean Bourgain Haı̈m Brezis Petru Mironescu	12
+ PDF Chat	The Dirichlet problem for nonlocal operators	2014	Matthieu Felsinger Moritz Kaßmann P. W. Voigt	12
+	Nonlocal convection-diffusion volume-constrained problems and jump processes	2014	Qiang Du Zhan Huang Richard B. Lehoucq	12
+	Exponential Time Differencing for Stiff Systems	2002	Stephen M. Cox P. C. Matthews	12
+	Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization	2017	Xiaochuan Tian Qiang Du	12
+	Nonlocal Linear Image Regularization and Supervised Segmentation	2007	Guy Gilboa Stanley Osher	11
+ PDF Chat	Variational theory and domain decomposition for nonlocal problems	2011	Burak Aksoylu Michael L. Parks	11
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	10
+	A Nonlocal Vector Calculus with Application to Nonlocal Boundary Value Problems	2010	Max Gunzburger Richard B. Lehoucq	10
+	The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator	2013	Marta D’Elia Max Gunzburger	9
+ PDF Chat	Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations	2019	Qiang Du Xiaochuan Tian	9
+	Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains	2016	Xiaochuan Tian Qiang Du Max Gunzburger	9
+ PDF Chat	Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications	2016	Qiang Du Jiang Yang	9
+	NONLOCAL KORN-TYPE CHARACTERIZATION OF SOBOLEV VECTOR FIELDS	2012	Tadele Mengesha	8
+ PDF Chat	Well-posedness of a conservation law with non-local flux arising in traffic flow modeling	2015	Sébastien Blandin Paola Goatin	7
+	On Learning with Integral Operators	2010	Lorenzo Rosasco Mikhail A. Belkin Ernesto De Vito	7
+ PDF Chat	Nonlocal elliptic equations in bounded domains: a survey	2015	Xavier Ros‐Oton	7
+	Multidimensional advection and fractional dispersion	1999	Mark M. Meerschaert David A. Benson Boris Bäumer	7
+	Stochastic Models for Fractional Calculus	2019	Mark M. Meerschaert Alla Sikorskii	7
+	Asymptotically compatible discretization of multidimensional nonlocal diffusion models and approximation of nonlocal Green’s functions	2018	Qiang Du Yunzhe Tao Xiaochuan Tian Jiang Yang	7
+	Analysis and Applications of the Exponential Time Differencing Schemes and Their Contour Integration Modifications	2005	Qiang Du Wen‐Xiang Zhu	7
+	Results on Nonlocal Boundary Value Problems	2010	Burak Aksoylu Tadele Mengesha	7
+	Fractional Diffusion on Bounded Domains	2015	Özlem Defterli Marta D’Elia Qiang Du Max Gunzburger Richard B. Lehoucq Mark M. Meerschaert	7
+	Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations	2014	Lili Ju Jian Zhang Liyong Zhu Qiang Du	7
+	Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation	2018	Qiang Du Lili Ju Li Xiao Zhonghua Qiao	7
+ PDF Chat	A Conforming DG Method for Linear Nonlocal Models with Integrable Kernels	2019	Qiang Du Xiaobo Yin	7
+	Localization of nonlocal gradients in various topologies	2014	Tadele Mengesha Daniel Spector	7
+ PDF Chat	The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics	2004	Ralf Metzler J. Klafter	7
+	A New Class of Time Discretization Schemes for the Solution of Nonlinear PDEs	1998	Gregory Beylkin James M. Keiser L. Vozovoi	7
+	A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems	2017	Qiang Du Lili Ju Jianfang Lu	7
+	An asymptotically compatible meshfree quadrature rule for nonlocal problems with applications to peridynamics	2018	Nathaniel Trask Huaiqian You Yue Yu Michael L. Parks	7
+ PDF Chat	Analysis of an Asymptotic Preserving Scheme for Linear Kinetic Equations in the Diffusion Limit	2010	Jian‐Guo Liu Luc Mieussens	6