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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
80
Citations
22630
World Ranking
149
National Ranking
86

Engineering and Technology

D-Index
80
Citations
22897
World Ranking
537
National Ranking
183

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2020 - Fellow of the American Mathematical Society For contributions to applied and computational mathematics with applications in materials science, computational geometry, and biology.
  • 2017 - Fellow of the American Association for the Advancement of Science (AAAS)
  • 2013 - SIAM Fellow For contributions to applied and computational mathematics with applications in material science, computational geometry, and biology.

Overview

Qiang Du is affiliated with Columbia University in the United States and has contributed extensively to the fields of engineering and mathematics. Their research primarily focuses on computational mechanics, applied mathematics, computational theory and mathematics, numerical analysis, and mechanics of materials.

Their work covers several main topics including:

  • Advanced Mathematical Modeling in Engineering
  • Differential Equations and Numerical Methods
  • Numerical Methods in Engineering
  • Advanced Numerical Methods in Computational Mathematics
  • Fractional Differential Equations Solutions
  • Differential Equations and Boundary Problems
  • Nonlinear Partial Differential Equations

Qiang Du has published research papers in a variety of venues, with frequent contributions to:

  • arXiv (Cornell University)
  • SIAM Journal on Numerical Analysis
  • SSRN Electronic Journal
  • Journal of Scientific Computing
  • SIAM Journal on Mathematical Analysis

Some of their recent published papers include:

  • Maximum Bound Principles for a Class of Semilinear Parabolic Equations and Exponential Time-Differencing Schemes, 2021, SIAM Review
  • Numerical methods for nonlocal and fractional models, 2020, Acta Numerica
  • Time-Fractional Allen-Cahn Equations: Analysis and Numerical Methods, 2020, Journal of Scientific Computing
  • Automated discovery of fundamental variables hidden in experimental data, 2022, Nature Computational Science
  • A VQ-motif-containing protein fine-tunes rice immunity and growth by a hierarchical regulatory mechanism, 2022, Cell Reports

Frequent co-authors with whom Qiang Du has collaborated include:

  • Xiaochuan Tian
  • Kuang Huang
  • Zhi Zhou
  • James M. Scott
  • Zirui Xu

Qiang Du's work has been recognized with several honors. They were named a Fellow of the American Mathematical Society in 2020 for contributions to applied and computational mathematics with applications in materials science, computational geometry, and biology.

In 2017, they became a Fellow of the American Association for the Advancement of Science (AAAS).

Earlier, in 2013, Qiang Du was awarded the title of SIAM Fellow for contributions to applied and computational mathematics with applications in material science, computational geometry, and biology.

Best Publications

  • Centroidal Voronoi Tessellations: Applications and Algorithms

    Qiang Du;Vance Faber;Max Gunzburger

  • Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

    Qiang Du;Max D. Gunzburger;Richard B. Lehoucq;Kun Zhou

  • Analysis and approximation of the Ginzburg-Landau model of superconductivity

    Qiang Du;Max D. Gunzburger;Janet S. Peterson

  • Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow

    Weizhu Bao;Qiang Du

  • A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS

    Qiang Du;Max Gunzburger;R. B. Lehoucq;Kun Zhou

  • A phase field approach in the numerical study of the elastic bending energy for vesicle membranes

    Qiang Du;Chun Liu;Xiaoqiang Wang

  • Convergence of the Lloyd Algorithm for Computing Centroidal Voronoi Tessellations

    Qiang Du;Maria Emelianenko;Lili Ju

  • A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation

    Clint Dawson;Qiang Du;Todd Dupont

  • Simulating the deformation of vesicle membranes under elastic bending energy in three dimensions

    Qiang Du;Chun Liu;Xiaoqiang Wang

  • Numerical analysis of a continuum model of phase transition

    Qiang Du;R. A. Nicolaides

  • Constrained Centroidal Voronoi Tessellations for Surfaces

    Qiang Du;Max D. Gunzburger;Lili Ju

  • Mathematical and Numerical Analysis of Linear Peridynamic Models with Nonlocal Boundary Conditions

    Kun Zhou;Qiang Du

  • Maximum principle preserving exponential time differencing schemes for the nonlocal Allen Cahn equation

    Qiang Du;Lili Ju;Xiao Li;Xiao Li;Xiao Li;Zhonghua Qiao

  • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations

    Lili Ju;Qiang Du;Max Gunzburger

  • Finite Element Methods with Matching and Nonmatching Meshes for Maxwell Equations with Discontinuous Coefficients

    Zhiming Chen;Qiang Du;Jun Zou

  • Maximum bound principles for a class of semilinear parabolic equations and exponential time-differencing schemes

    Qiang Du;Lili Ju;Xiao Li;Xiao Li;Zhonghua Qiao

  • Tetrahedral mesh generation and optimization based on centroidal Voronoi tessellations

    Qiang Du;Qiang Du;Desheng Wang

  • Grid generation and optimization based on centroidal Voronoi tessellations

    Qiang Du;Max Gunzburger

  • Analysis and Comparison of Different Approximations to Nonlocal Diffusion and Linear Peridynamic Equations

    Xiaochuan Tian;Qiang Du

  • Modelling and simulations of multi-component lipid membranes and open membranes via diffuse interface approaches.

    Xiaoqiang Wang;Qiang Du

  • A phase field formulation of the Willmore problem

    Qiang Du;Chun Liu;Rolf Ryham;Xiaoqiang Wang

  • ASYMPTOTICALLY COMPATIBLE SCHEMES AND APPLICATIONS TO ROBUST DISCRETIZATION OF NONLOCAL MODELS

    Xiaochuan Tian;Qiang Du

Frequent Co-Authors

Max D. Gunzburger
Max D. Gunzburger Florida State University
Lili Ju
Lili Ju University of South Carolina
Chun Liu
Chun Liu Illinois Institute of Technology
Long Qing Chen
Long Qing Chen Pennsylvania State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Simon J. L. Billinge
Simon J. L. Billinge Columbia University
Zhi Zhou
Zhi Zhou Hong Kong Polytechnic University
Weizhu Bao
Weizhu Bao National University of Singapore
Wei Liu
Wei Liu Tencent (China)
Zi-Kui Liu
Zi-Kui Liu Pennsylvania State University

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