Qiang Du
Orcid: 0000-0002-1067-8937Affiliations:
- Columbia University, Department of Applied Physics and Applied Mathematics, NY, USA
According to our database1,
Qiang Du
authored at least 144 papers
between 1992 and 2024.
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Book In proceedings Article PhD thesis Dataset OtherLinks
Online presence:
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on zbmath.org
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on orcid.org
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on columbia.edu
On csauthors.net:
Bibliography
2024
Asymptotic Compatibility of a Class of Numerical Schemes for a Nonlocal Traffic Flow Model.
SIAM J. Numer. Anal., 2024
Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles.
SIAM J. Math. Anal., 2024
\({\varGamma }\)-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data.
SIAM J. Math. Anal., 2024
Error estimates of finite element methods for nonlocal problems using exact or approximated interaction neighborhoods.
CoRR, 2024
Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems.
CoRR, 2024
Asymptotically compatible schemes for nonlinear variational models via Gamma-convergence and applications to nonlocal problems.
CoRR, 2024
2023
Asymptotically compatibility of a class of numerical schemes for a nonlocal traffic flow model.
CoRR, 2023
2022
On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods.
SIAM J. Numer. Anal., August, 2022
The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation.
SIAM J. Numer. Anal., August, 2022
A Physics-Informed Deep Learning Paradigm for Traffic State and Fundamental Diagram Estimation.
IEEE Trans. Intell. Transp. Syst., 2022
SIAM J. Math. Anal., 2022
SIAM J. Appl. Math., 2022
Nat. Comput. Sci., 2022
Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions.
J. Sci. Comput., 2022
J. Nonlinear Sci., 2022
2021
Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes.
SIAM Rev., 2021
J. Comput. Phys., 2021
On some nonlocal models with radially symmetric interaction domains and the effect of domain truncation.
CoRR, 2021
A Physics-Informed Deep Learning Paradigm for Traffic State Estimation and Fundamental Diagram Discovery.
CoRR, 2021
2020
Asymptotically Compatible Schemes for Robust Discretization of Parametrized Problems with Applications to Nonlocal Models.
SIAM Rev., 2020
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., 2020
SIAM J. Appl. Math., 2020
Variational Phase Field Formulations of Polarization and Phase Transition in Ferroelectric Thin Films.
SIAM J. Appl. Math., 2020
J. Sci. Comput., 2020
Mathematics of Smoothed Particle Hydrodynamics: A Study via Nonlocal Stokes Equations.
Found. Comput. Math., 2020
Multiscale modeling, homogenization and nonlocal effects: Mathematical and computational issues.
Proceedings of the 75 Years of Mathematics of Computation, 2020
2019
SIAM J. Math. Data Sci., 2019
Asymptotically Compatible SPH-Like Particle Discretizations of One Dimensional Linear Advection Models.
SIAM J. Numer. Anal., 2019
Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen-Cahn Equation.
SIAM J. Numer. Anal., 2019
A discontinuous Galerkin method for one-dimensional time-dependent nonlocal diffusion problems.
Math. Comput., 2019
Nonlocal Models with Heterogeneous Localization and Their Application to Seamless Local-Nonlocal Coupling.
Multiscale Model. Simul., 2019
J. Sci. Comput., 2019
Analysis of Fully Discrete Approximations for Dissipative Systems and Application to Time-Dependent Nonlocal Diffusion Problems.
J. Sci. Comput., 2019
Multiscale Modeling, Homogenization and Nonlocal Effects: Mathematical and Computational Issues.
CoRR, 2019
A Game-Theoretic Framework for Autonomous Vehicles Velocity Control: Bridging Microscopic Differential Games and Macroscopic Mean Field Games.
CoRR, 2019
Proceedings of the 2019 IEEE Intelligent Transportation Systems Conference, 2019
2018
SIAM J. Sci. Comput., 2018
SIAM J. Numer. Anal., 2018
SIAM J. Numer. Anal., 2018
SIAM J. Numer. Anal., 2018
Stability of Nonlocal Dirichlet Integrals and Implications for Peridynamic Correspondence Material Modeling.
SIAM J. Appl. Math., 2018
J. Comput. Phys., 2018
J. Comput. Phys., 2018
J. Comput. Phys., 2018
CoRR, 2018
CoRR, 2018
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018
A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization.
Proceedings of the Twenty-Seventh International Joint Conference on Artificial Intelligence, 2018
2017
SIAM J. Sci. Comput., 2017
SIAM J. Numer. Anal., 2017
SIAM J. Math. Anal., 2017
Fast and accurate implementation of Fourier spectral approximations of nonlocal diffusion operators and its applications.
J. Comput. Phys., 2017
Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes.
Comput. Methods Appl. Math., 2017
Nonlocal diffusion and peridynamic models with Neumann type constraints and their numerical approximations.
Appl. Math. Comput., 2017
2016
SIAM J. Sci. Comput., 2016
Asymptotically Compatible Fourier Spectral Approximations of Nonlocal Allen-Cahn Equations.
SIAM J. Numer. Anal., 2016
A Multiscale Implementation Based on Adaptive Mesh Refinement for the Nonlocal Peridynamics Model in One Dimension.
Multiscale Model. Simul., 2016
Efficient and stable exponential time differencing Runge-Kutta methods for phase field elastic bending energy models.
J. Comput. Phys., 2016
Computational studies of coarsening rates for the Cahn-Hilliard equation with phase-dependent diffusion mobility.
J. Comput. Phys., 2016
Comput. Math. Appl., 2016
Asymptotically compatible schemes for the approximation of fractional Laplacian and related nonlocal diffusion problems on bounded domains.
Adv. Comput. Math., 2016
Extreme-scale phase field simulations of coarsening dynamics on the sunway taihulight supercomputer.
Proceedings of the International Conference for High Performance Computing, 2016
2015
SIAM J. Numer. Anal., 2015
J. Sci. Comput., 2015
2014
Asymptotically Compatible Schemes and Applications to Robust Discretization of Nonlocal Models.
SIAM J. Numer. Anal., 2014
Mesh dependent stability and condition number estimates for finite element approximations of parabolic problems.
Math. Comput., 2014
Coarsening Mechanism for Systems Governed by the Cahn-Hilliard Equation with Degenerate Diffusion Mobility.
Multiscale Model. Simul., 2014
J. Sci. Comput., 2014
2013
Signal Image Video Process., 2013
Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations.
SIAM J. Numer. Anal., 2013
A Convergent Adaptive Finite Element Algorithm for Nonlocal Diffusion and Peridynamic Models.
SIAM J. Numer. Anal., 2013
A posteriori error analysis of finite element method for linear nonlocal diffusion and peridynamic models.
Math. Comput., 2013
2012
SIAM Rev., 2012
SIAM J. Numer. Anal., 2012
Motion of Interfaces Governed by the Cahn-Hilliard Equation with Highly Disparate Diffusion Mobility.
SIAM J. Appl. Math., 2012
A Hybrid Implicit-Explicit Adaptive Multirate Numerical Scheme for Time-Dependent Equations.
J. Sci. Comput., 2012
J. Comput. Phys., 2012
2011
Mesh-dependent stability for finite element approximations of parabolic equations with mass lumping.
J. Comput. Appl. Math., 2011
J. Comput. Appl. Math., 2011
2010
Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions.
SIAM J. Numer. Anal., 2010
Vortex Solutions of the High-κ High-Field Ginzburg-Landau Model with an Applied Current.
SIAM J. Math. Anal., 2010
Diffuse-interface approach to predicting morphologies of critical nucleus and equilibrium structure for cubic to tetragonal transformations.
J. Comput. Phys., 2010
2009
Numerical Studies of Discrete Approximations to the Allen--Cahn Equation in the Sharp Interface Limit.
SIAM J. Sci. Comput., 2009
On Mesh Geometry and Stiffness Matrix Conditioning for General Finite Element Spaces.
SIAM J. Numer. Anal., 2009
2008
Adaptive Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformations.
SIAM J. Sci. Comput., 2008
SIAM J. Numer. Anal., 2008
An Enhanced Macroscopic Closure Approximation to the Micro-Macro FENE Model for Polymeric Materials.
Multiscale Model. Simul., 2008
Mathematical and Numerical Aspects of a Phase-field Approach to Critical Nuclei Morphology in Solids.
J. Sci. Comput., 2008
2007
The Dynamics and Interaction of Quantized Vortices in the Ginzburg-Landau-Schrödinger Equation.
SIAM J. Appl. Math., 2007
2006
SIAM J. Numer. Anal., 2006
Dynamics of Rotating Bose-Einstein Condensates and its Efficient and Accurate Numerical Computation.
SIAM J. Appl. Math., 2006
Numer. Linear Algebra Appl., 2006
Centroidal Voronoi Tessellation Algorithms for Image Compression, Segmentation, and Multichannel Restoration.
J. Math. Imaging Vis., 2006
J. Comput. Phys., 2006
Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions.
J. Comput. Phys., 2006
2005
SIAM J. Sci. Comput., 2005
SIAM J. Numer. Anal., 2005
Approximations of a Ginzburg-Landau model for superconducting hollow spheres based on spherical centroidal Voronoi tessellations.
Math. Comput., 2005
From Micro to Macro Dynamics via a New Closure Approximation to the FENE Model of Polymeric Fluids.
Multiscale Model. Simul., 2005
Multiscale Model. Simul., 2005
2004
Computing the Ground State Solution of Bose-Einstein Condensates by a Normalized Gradient Flow.
SIAM J. Sci. Comput., 2004
Semidiscrete Finite Element Approximations of a Linear Fluid-Structure Interaction Problem.
SIAM J. Numer. Anal., 2004
Centroidal Voronoi Tessellation Based Algorithms for Vector Fields Visualization and Segmentation.
Proceedings of the 15th IEEE Visualization Conference, 2004
Proceedings of the Fourth SIAM International Conference on Data Mining, 2004
2003
SIAM J. Sci. Comput., 2003
Corrigendum: Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals.
SIAM J. Numer. Anal., 2003
Convergence Analysis of a Finite Volume Method for Maxwell's Equations in Nonhomogeneous Media.
SIAM J. Numer. Anal., 2003
2002
Numerical Approximation of Some Linear Stochastic Partial Differential Equations Driven by Special Additive Noises.
SIAM J. Numer. Anal., 2002
SIAM J. Math. Anal., 2002
Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations.
Parallel Comput., 2002
Appl. Math. Comput., 2002
2001
Fourier Spectral Approximation to a Dissipative System Modeling the Flow of Liquid Crystals.
SIAM J. Numer. Anal., 2001
Optimization Based Nonoverlapping Domain Decomposition Algorithms and Their Convergence.
SIAM J. Numer. Anal., 2001
2000
A Gradient Method Approach to Optimization-Based Multidisciplinary Simulations and Nonoverlapping Domain Decomposition Algorithms.
SIAM J. Numer. Anal., 2000
Convergence Analysis of a Numerical Method for a Mean Field Model of Superconducting Vortices.
SIAM J. Numer. Anal., 2000
Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients.
SIAM J. Numer. Anal., 2000
1999
Numerical Algorithms of the Lawrence-Doniach Model for Layered Superconductors and their Parallel Implementation.
SIAM J. Sci. Comput., 1999
SIAM J. Appl. Math., 1999
Numerische Mathematik, 1999
1998
Discrete gauge invariant approximations of a time dependent Ginzburg-Landau model of superconductivity.
Math. Comput., 1998
1997
1996
SIAM J. Sci. Comput., 1996
SIAM J. Appl. Math., 1996
1995
On the Lawrence-Doniach and Anisotropic Ginzburg-Landau Models for Layered Superconductors.
SIAM J. Appl. Math., 1995
1993
Modeling and Analysis of a Periodic Ginzburg-Landau Model for Type-II Superconductors.
SIAM J. Appl. Math., 1993
1992
SIAM Rev., 1992