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- Qiang Du

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Engineering and Technology
D-index
56
Citations
11,664
203
World Ranking
887
National Ranking
379

Mathematics
D-index
70
Citations
17,952
324
World Ranking
200
National Ranking
113

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.

- Quantum mechanics
- Mathematical analysis
- Geometry

Mathematical analysis, Voronoi diagram, Numerical analysis, Classical mechanics and Centroidal Voronoi tessellation are his primary areas of study. Mathematical analysis and Linear elasticity are commonly linked in his work. Qiang Du works mostly in the field of Voronoi diagram, limiting it down to concerns involving Mesh generation and, occasionally, Differential equation.

His research integrates issues of Discretization, Parabolic partial differential equation, Allen–Cahn equation and Exponential function in his study of Numerical analysis. His research investigates the connection with Centroidal Voronoi tessellation and areas like Topology which intersect with concerns in Delaunay triangulation. His Lloyd's algorithm research includes themes of Euclidean space and Cluster analysis.

- Centroidal Voronoi Tessellations: Applications and Algorithms (1578 citations)
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (348 citations)
- Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow (328 citations)

His main research concerns Mathematical analysis, Applied mathematics, Finite element method, Discretization and Numerical analysis. The Mathematical analysis study combines topics in areas such as Peridynamics and Nonlinear system. The concepts of his Applied mathematics study are interwoven with issues in Maximum principle, Mathematical optimization and Exponential function.

The study incorporates disciplines such as Voronoi diagram and Computation in addition to Mathematical optimization. His work deals with themes such as Superconductivity and Statistical physics, which intersect with Finite element method. His study looks at the relationship between Numerical analysis and topics such as Classical mechanics, which overlap with Field.

- Mathematical analysis (33.89%)
- Applied mathematics (22.69%)
- Finite element method (15.97%)

- Applied mathematics (22.69%)
- Discretization (15.13%)
- Numerical analysis (13.17%)

Qiang Du mainly focuses on Applied mathematics, Discretization, Numerical analysis, Statistical physics and Artificial intelligence. His studies deal with areas such as Maximum principle, Finite element method, Discontinuous Galerkin method and Exponential function as well as Applied mathematics. His studies examine the connections between Finite element method and genetics, as well as such issues in Gravitational singularity, with regards to Finite difference.

His work carried out in the field of Discretization brings together such families of science as State and Boundary value problem. The various areas that Qiang Du examines in his Numerical analysis study include Partial differential equation, Smoothed-particle hydrodynamics, Continuum, Stokes flow and Relaxation. In his study, Mathematical analysis is inextricably linked to Computation, which falls within the broad field of Spectral method.

- Stabilized linear semi-implicit schemes for the nonlocal Cahn–Hilliard equation (54 citations)
- A Reinforced Topic-Aware Convolutional Sequence-to-Sequence Model for Abstractive Text Summarization (49 citations)
- Maximum principle preserving exponential time differencing schemes for the nonlocal Allen Cahn equation (45 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

The scientist’s investigation covers issues in Applied mathematics, Discretization, Artificial intelligence, Numerical analysis and Artificial neural network. His Applied mathematics research is multidisciplinary, incorporating perspectives in Analytic function, Energy stability, Exponential function, Maximum principle and Computation. His study on Time stepping is often connected to Error analysis as part of broader study in Discretization.

His biological study spans a wide range of topics, including Finite difference, Fractional calculus, Partial differential equation and Finite element method. His Artificial neural network study incorporates themes from Perspective, Matrix, Algorithm, Sparse grid and Approximation theory. Space is a subfield of Mathematical analysis that he studies.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Centroidal Voronoi Tessellations: Applications and Algorithms

Qiang Du;Vance Faber;Max Gunzburger.

Siam Review **(1999)**

2494 Citations

Centroidal Voronoi Tessellations: Applications and Algorithms

Qiang Du;Vance Faber;Max Gunzburger.

Siam Review **(1999)**

2494 Citations

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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

Siam Review **(2012)**

574 Citations

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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

Siam Review **(2012)**

574 Citations

Analysis and approximation of the Ginzburg-Landau model of superconductivity

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

Siam Review **(1992)**

511 Citations

Analysis and approximation of the Ginzburg-Landau model of superconductivity

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

Siam Review **(1992)**

511 Citations

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

Qiang Du;Chun Liu;Xiaoqiang Wang.

Journal of Computational Physics **(2004)**

434 Citations

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

Qiang Du;Chun Liu;Xiaoqiang Wang.

Journal of Computational Physics **(2004)**

434 Citations

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

Weizhu Bao;Qiang Du.

SIAM Journal on Scientific Computing **(2004)**

431 Citations

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

Weizhu Bao;Qiang Du.

SIAM Journal on Scientific Computing **(2004)**

431 Citations

SIAM Journal on Applied Mathematics

(Impact Factor: 2.148)

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