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ORCIDQiang Du 0001
Person information
- affiliation: Columbia University, Department of Applied Physics and Applied Mathematics, NY, USA
Other persons with the same name
- Qiang Du — disambiguation page
- Qiang Du 0002
![[0000-0002-1889-9814]](https://dblp1.uni-trier.de/img/orcid-mark.12x12.png "0000-0002-1889-9814")
— Shenyang University of Technology, Institute of Biomedical and Electromagnetic Engineering, China - Qiang Du 0003 — Chang'an University, School of Economics and Management, Xian, China
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2020 – today
- 2021
[j89]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: 109850 (2021)- 2020
- [j88]Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou:
Numerical methods for nonlocal and fractional models. Acta Numer. 29: 1-124 (2020) - [j87]Qiang Du, Xiaochuan Tian:
Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations. Found. Comput. Math. 20(4): 801-826 (2020) - [j86]Qiang Du, Jiang Yang, Zhi Zhou:
Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. J. Sci. Comput. 85(2): 42 (2020) - [j85]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): 572-598 (2020) - [j84]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): 1590-1606 (2020) - [j83]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): 1893-1917 (2020) - [j82]Xiaochuan Tian, Qiang Du:
Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models. SIAM Rev. 62(1): 199-227 (2020) - [p1]Qiang Du, Björn Engquist, Xiaochuan Tian:
Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues. 75 Years of Mathematics of Computation 2020 - [i10]Marta D'Elia, Qiang Du, Christian Glusa, Max D. Gunzburger, Xiaochuan Tian, Zhi Zhou:
Numerical methods for nonlocal and fractional models. CoRR abs/2002.01401 (2020) - [i9]Qiang Du, Zhi Zhou:
Nonlocal-in-time dynamics and crossover of diffusive regimes. CoRR abs/2003.03618 (2020) - [i8]Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao:
Maximum bound principles for a class of semilinear parabolic equations and exponential time differencing schemes. CoRR abs/2005.11465 (2020)
2010 – 2019
- 2019
- [j81]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): 1438-1466 (2019) - [j80]Qiang Du, Lili Ju, Jianfang Lu:
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems. Math. Comput. 88(315): 123-147 (2019) - [j79]Hwi Lee, Qiang Du:
Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models. SIAM J. Numer. Anal. 57(1): 127-147 (2019) - [j78]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): 875-898 (2019) - [j77]Hadrien Montanelli, Qiang Du:
New Error Bounds for Deep ReLU Networks Using Sparse Grids. SIAM J. Math. Data Sci. 1(1): 78-92 (2019) - [i7]Qiang Du, Jiang Yang, Zhi Zhou:
Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods. CoRR abs/1906.06584 (2019) - [i6]Qiang Du, Björn Engquist, Xiaochuan Tian:
Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues. CoRR abs/1909.00708 (2019) - [i5]Qiang Du, Ruotai Li, Lei Zhang:
Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films. CoRR abs/1910.05709 (2019) - 2018
- [j76]Qiang Du, Lili Ju, Xiao Li, Zhonghua Qiao:
Stabilized linear semi-implicit schemes for the nonlocal Cahn-Hilliard equation. J. Comput. Phys. 363: 39-54 (2018) - [j75]Richard Mikael Slevinsky, Hadrien Montanelli, Qiang Du:
A spectral method for nonlocal diffusion operators on the sphere. J. Comput. Phys. 372: 893-911 (2018) - [j74]Hong Liang, Qi Sun, Qiang Du:
Data-driven compressive sensing and applications in uncertainty quantification. J. Comput. Phys. 374: 787-802 (2018) - [j73]Qiang Du, Xiaochuan Tian:
Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling. SIAM J. Appl. Math. 78(3): 1536-1552 (2018) - [j72]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): 1386-1404 (2018) - [j71]Qi Sun, Qiang Du, Ju Ming:
Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. 56(3): 1942-1960 (2018) - [j70]Qi Sun, Qiang Du, Ju Ming:
Erratum: Asymptotically Compatible Schemes for Stochastic Homogenization. SIAM J. Numer. Anal. 56(4): 2698-2699 (2018) - [j69]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) - [c5]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: 4453-4460 - [c4]Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu:
Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. NeurIPS 2018: 494-504 - [i4]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 abs/1805.03616 (2018) - [i3]Yunzhe Tao, Qi Sun, Qiang Du, Wei Liu:
Nonlocal Neural Networks, Nonlocal Diffusion and Nonlocal Modeling. CoRR abs/1806.00681 (2018) - [i2]Yunzhe Tao, Lin Ma, Weizhong Zhang, Jian Liu, Wei Liu, Qiang Du:
Hierarchical Attention-Based Recurrent Highway Networks for Time Series Prediction. CoRR abs/1806.00685 (2018) - [i1]Qi Sun, Yunzhe Tao, Qiang Du:
Stochastic Training of Residual Networks: a Differential Equation Viewpoint. CoRR abs/1812.00174 (2018) - 2017
- [j68]Yunzhe Tao, Xiaochuan Tian, Qiang Du:
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations. Appl. Math. Comput. 305: 282-298 (2017) - [j67]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): 707-722 (2017) - [j66]Qiang Du, Jiang Yang:
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications. J. Comput. Phys. 332: 118-134 (2017) - [j65]Xiaochuan Tian, Qiang Du:
Trace Theorems for some Nonlocal Function Spaces with Heterogeneous Localization. SIAM J. Math. Anal. 49(2): 1621-1644 (2017) - [j64]Qiang Du, Zhan Huang, Philippe G. LeFloch:
Nonlocal Conservation Laws. A New Class of Monotonicity-Preserving Models. SIAM J. Numer. Anal. 55(5): 2465-2489 (2017) - [j63]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) - 2016
- [j62]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): 1363-1380 (2016) - [j61]Yanxiang Zhao, Jiakou Wang, Yanping Ma, Qiang Du:
Generalized local and nonlocal master equations for some stochastic processes. Comput. Math. Appl. 71(11): 2497-2512 (2016) - [j60]Shibin Dai, Qiang Du:
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility. J. Comput. Phys. 310: 85-108 (2016) - [j59]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: 21-38 (2016) - [j58]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): 398-429 (2016) - [j57]Qiang Du, Jiang Yang:
Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations. SIAM J. Numer. Anal. 54(3): 1899-1919 (2016) - [j56]Lei Zhang, Qiang Du, Zhenzhen Zheng:
Optimization-based Shrinking Dimer Method for Finding Transition States. SIAM J. Sci. Comput. 38(1) (2016) - [c3]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: 34-45 - 2015
- [j55]Lili Ju, Jian Zhang, Liyong Zhu, Qiang Du:
Fast Explicit Integration Factor Methods for Semilinear Parabolic Equations. J. Sci. Comput. 62(2): 431-455 (2015) - [j54]Xiaochuan Tian, Qiang Du:
Nonconforming Discontinuous Galerkin Methods for Nonlocal Variational Problems. SIAM J. Numer. Anal. 53(2): 762-781 (2015) - 2014
- [j53]Joan Remski, Jingyan Zhang, Qiang Du:
On balanced moving mesh methods. J. Comput. Appl. Math. 265: 255-263 (2014) - [j52]Xuying Zhao, Zhong-Ci Shi, Qiang Du:
Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes. J. Sci. Comput. 59(1): 53-79 (2014) - [j51]Shibin Dai, Qiang Du:
Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility. Multiscale Model. Simul. 12(4): 1870-1889 (2014) - [j50]Liyong Zhu, Qiang Du:
Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems. Math. Comput. 83(285): 37-64 (2014) - [j49]Jie Chen, Desheng Wang, Qiang Du:
Linear finite element superconvergence on simplicial meshes. Math. Comput. 83(289): 2161-2185 (2014) - [j48]Xiaochuan Tian, Qiang Du:
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models. SIAM J. Numer. Anal. 52(4): 1641-1665 (2014) - 2013
- [j47]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): 1889-1922 (2013) - [j46]Qiang Du, Li Tian, Xuying Zhao:
A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models. SIAM J. Numer. Anal. 51(2): 1211-1234 (2013) - [j45]Xiaochuan Tian, Qiang Du:
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations. SIAM J. Numer. Anal. 51(6): 3458-3482 (2013) - [j44]Yicheng Wen, Asok Ray, Qiang Du:
A variance-estimation-based stopping rule for symbolic dynamic filtering. Signal Image Video Process. 7(1): 189-195 (2013) - 2012
- [j43]Jingyan Zhang, Qiang Du:
Constrained shrinking dimer dynamics for saddle point search with constraints. J. Comput. Phys. 231(14): 4745-4758 (2012) - [j42]B. Chabaud, Qiang Du:
A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations. J. Sci. Comput. 51(1): 135-157 (2012) - [j41]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): 464-487 (2012) - [j40]Shibin Dai, Qiang Du:
Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility. SIAM J. Appl. Math. 72(6): 1818-1841 (2012) - [j39]Jingyan Zhang, Qiang Du:
Shrinking Dimer Dynamics and Its Applications to Saddle Point Search. SIAM J. Numer. Anal. 50(4): 1899-1921 (2012) - [j38]Qiang Du, Max D. Gunzburger, Richard B. Lehoucq, Kun Zhou:
Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints. SIAM Rev. 54(4): 667-696 (2012) - [j37]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): 85:1-85:11 (2012) - 2011
- [j36]Liyong Zhu, Qiang Du:
Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping. J. Comput. Appl. Math. 236(5): 801-811 (2011) - [j35]Li Tian, Falai Chen, Qiang Du:
Adaptive finite element methods for elliptic equations over hierarchical T-meshes. J. Comput. Appl. Math. 236(5): 878-891 (2011) - 2010
- [j34]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): 6574-6584 (2010) - [j33]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): 2368-2401 (2010) - [j32]Kun Zhou, Qiang Du:
Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions. SIAM J. Numer. Anal. 48(5): 1759-1780 (2010)
2000 – 2009
- 2009
- [j31]Jian Zhang, Sovan Das, Qiang Du:
A phase field model for vesicle-substrate adhesion. J. Comput. Phys. 228(20): 7837-7849 (2009) - [j30]Qiang Du, Desheng Wang, Liyong Zhu:
On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces. SIAM J. Numer. Anal. 47(2): 1421-1444 (2009) - [j29]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): 3042-3063 (2009) - 2008
- [j28]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): 89-102 (2008) - [j27]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): 978-1002 (2008) - [j26]Qiang Du, Maria Emelianenko:
Uniform Convergence of a Nonlinear Energy-Based Multilevel Quantization Scheme. SIAM J. Numer. Anal. 46(3): 1483-1502 (2008) - [j25]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): 1634-1657 (2008) - 2007
- [j24]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): 1740-1775 (2007) - 2006
- [j23]Qiang Du, Chun Liu, Xiaoqiang Wang:
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions. J. Comput. Phys. 212(2): 757-777 (2006) - [j22]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): 498-510 (2006) - [j21]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): 177-194 (2006) - [j20]Qiang Du, Maria Emelianenko:
Acceleration schemes for computing centroidal Voronoi tessellations. Numer. Linear Algebra Appl. 13(2-3): 173-192 (2006) - [j19]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): 758-786 (2006) - [j18]Qiang Du, Maria Emelianenko, Lili Ju:
Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations. SIAM J. Numer. Anal. 44(1): 102-119 (2006) - 2005
- [j17]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): 895-917 (2005) - [j16]Qiang Du, Chun Liu, Peng Yu:
FENE Dumbbell Model and Its Several Linear and Nonlinear Closure Approximations. Multiscale Model. Simul. 4(3): 709-731 (2005) - [j15]Qiang Du, Lili Ju:
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations. Math. Comput. 74(251): 1257-1280 (2005) - [j14]Qiang Du, Chun Liu, Xiaoqiang Wang:
Retrieving Topological Information for Phase Field Models. SIAM J. Appl. Math. 65(6): 1913-1932 (2005) - [j13]Qiang Du, Lili Ju:
Finite Volume Methods on Spheres and Spherical Centroidal Voronoi Meshes. SIAM J. Numer. Anal. 43(4): 1673-1692 (2005) - [j12]Qiang Du, Desheng Wang:
Anisotropic Centroidal Voronoi Tessellations and Their Applications. SIAM J. Sci. Comput. 26(3): 737-761 (2005) - 2004
- [j11]Qiang Du, Max D. Gunzburger, L. Steven Hou, J. Lee:
Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem. SIAM J. Numer. Anal. 42(1): 1-29 (2004) - [j10]Weizhu Bao, Qiang Du:
Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow. SIAM J. Sci. Comput. 25(5): 1674-1697 (2004) - [c2]Qiang Du, Xiaoqiang Wang:
Tesselation and Clustering by Mixture Models and Their Parallel Implementations. SDM 2004: 257-268 - [c1]Qiang Du, Xiaoqiang Wang:
Centroidal Voronoi Tessellation Based Algorithms for Vector Fields Visualization and Segmentation. IEEE Visualization 2004: 43-50 - 2003
- [j9]Qiang Du, Max D. Gunzburger, Lili Ju:
Constrained Centroidal Voronoi Tessellations for Surfaces. SIAM J. Sci. Comput. 24(5): 1488-1506 (2003) - 2002
- [j8]Qiang Du, Max D. Gunzburger:
Grid generation and optimization based on centroidal Voronoi tessellations. Appl. Math. Comput. 133(2-3): 591-607 (2002) - [j7]Lili Ju, Qiang Du, Max D. Gunzburger:
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations. Parallel Comput. 28(10): 1477-1500 (2002) - 2000
- [j6]Qiang Du, Max D. Gunzburger:
A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms. SIAM J. Numer. Anal. 37(5): 1513-1541 (2000)
1990 – 1999
- 1999
- [j5]Qiang Du, Max D. Gunzburger, Hyesuk K. Lee:
Analysis and computation of a mean-field model for superconductivity. Numerische Mathematik 81(4): 539-560 (1999) - [j4]Qiang Du, Vance Faber, Max D. Gunzburger:
Centroidal Voronoi Tessellations: Applications and Algorithms. SIAM Rev. 41(4): 637-676 (1999) - 1995
- [j3]S. Jonathan Chapman, Qiang Du, Max D. Gunzburger:
On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors. SIAM J. Appl. Math. 55(1): 156-174 (1995) - 1993
- [j2]Qiang Du, Max D. Gunzburger, Janet S. Peterson:
Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors. SIAM J. Appl. Math. 53(3): 689-717 (1993) - 1992
- [j1]Qiang Du, Max D. Gunzburger, Janet S. Peterson:
Analysis and Approximation of the Ginzburg-Landau Model of Superconductivity. SIAM Rev. 34(1): 54-81 (1992)
Coauthor Index
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