What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (33.89%)
- Applied mathematics (22.69%)
- Finite element method (15.97%)
What were the highlights of his more recent work (between 2017-2021)?
- Applied mathematics (22.69%)
- Discretization (15.13%)
- Numerical analysis (13.17%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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