Qiang Du

Fu Foundation Professor of Applied Mathematics

Columbia University

United States

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Qiang Du is the Fu Foundation Professor of Applied Mathematics at Columbia University in the United States. His research areas include nonlocal problems, computational and analytical studies of phase-field models, and numerical analysis of discontinuous Galerkin methods. Recent publications reflect his focus on Green's identities, variational principles, and nonlocal diffusion problems.

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2022

Collaborators (5)

Hod Lipson

Full Prof.

Columbia University

UNITED STATES

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Xiaochuan Tian

University of California

UNITED STATES

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Allison Wustrow

Assistant Professor

Université de Sherbrooke

CANADA

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Simon J. L. Billinge

Professor

Columbia University

UNITED STATES

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Tadele Mengesha

Professor

UNITED STATES

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Qiang Du

Research Interests

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About

Articles (20)

Nonlocal Problems with Local Boundary Conditions II: Green’s Identities and Regularity of Solutions

\({\varGamma }\)-Convergence of Nonlocal Dirichlet Energies with Penalty Formulations of Dirichlet Boundary Data

Computational and analytical studies of a new nonlocal phase-field crystal model in two dimensions

Numerical analysis of a class of penalty discontinuous Galerkin methods for nonlocal diffusion problems

ASYMPTOTIC COMPATIBILITY OF A CLASS OF NUMERICAL SCHEMES FOR A NONLOCAL TRAFFIC FLOW MODEL

Discontinuous Galerkin Methods for a First-Order Semi-Linear Hyperbolic Continuum Model of a Topological Resonator Dimer Array

Nonlocal Problems with Local Boundary Conditions I: Function Spaces and Variational Principles

Revealing excited states of rotational Bose-Einstein condensates

Stretched non-negative matrix factorization

Bifurcation and fission in the liquid drop model: A phase-field approach

A fast two-stage algorithm for non-negative matrix factorization in smoothly varying data

Nonlocal trace spaces and extension results for nonlocal calculus

Asymptotically compatible approximations of linear nonlocal conservation laws with variable horizon

On the Convergence to Local Limit of Nonlocal Models with Approximated Interaction Neighborhoods

The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation

The Average Distance Problem with Perimeter-to-Area Ratio Penalization

Stability of a Nonlocal Traffic Flow Model for Connected Vehicles

Automated discovery of fundamental variables hidden in experimental data

Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization

Numerical Simulation of Singularity Propagation Modeled by Linear Convection Equations with Spatially Heterogeneous Nonlocal Interactions

Collaborators (5)

Hod Lipson

Xiaochuan Tian

Allison Wustrow

Simon J. L. Billinge

Tadele Mengesha

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