What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Statistics
His primary scientific interests are in Mathematical analysis, Finite element method, Boundary value problem, Voronoi diagram and Partial differential equation.
Max Gunzburger combines subjects such as Navier–Stokes equations and Optimal control with his study of Mathematical analysis.
His studies deal with areas such as Optimization problem and Applied mathematics as well as Navier–Stokes equations.
His research on Finite element method focuses in particular on Mixed finite element method.
His studies in Voronoi diagram integrate themes in fields like Algorithm, Delaunay triangulation, Mesh generation and Uniform distribution.
His Partial differential equation study combines topics in areas such as Flow, Dirichlet problem and Nonlinear system.
His most cited work include:
- Centroidal Voronoi Tessellations: Applications and Algorithms (1578 citations)
- Boundary conditions for the numerical solution of elliptic equations in exterior regions (522 citations)
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints (348 citations)
What are the main themes of his work throughout his whole career to date?
Max Gunzburger mainly investigates Mathematical analysis, Finite element method, Applied mathematics, Partial differential equation and Mathematical optimization.
His Mathematical analysis research is multidisciplinary, relying on both Navier–Stokes equations and Galerkin method.
His Finite element method research includes elements of Discretization, Numerical analysis, Least squares and Optimal control.
Max Gunzburger has researched Optimal control in several fields, including Lagrange multiplier and Boundary.
His Applied mathematics research incorporates themes from Basis, Computational fluid dynamics, Linear system, Uncertainty quantification and Parameterized complexity.
The Mixed finite element method study combines topics in areas such as Smoothed finite element method and Extended finite element method.
He most often published in these fields:
- Mathematical analysis (35.90%)
- Finite element method (33.92%)
- Applied mathematics (26.65%)
What were the highlights of his more recent work (between 2016-2021)?
- Applied mathematics (26.65%)
- Finite element method (33.92%)
- Partial differential equation (15.64%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Applied mathematics, Finite element method, Partial differential equation, Discretization and Mathematical analysis.
His Applied mathematics study integrates concerns from other disciplines, such as Basis, Flow, Uncertainty quantification, Parameterized complexity and Numerical analysis.
His research in Flow tackles topics such as Linear system which are related to areas like Forcing, Boundary value problem and Initial value problem.
His work deals with themes such as Peridynamics, Gravitational singularity and Mathematical optimization, which intersect with Finite element method.
The various areas that Max Gunzburger examines in his Partial differential equation study include Series expansion, Approximations of π, Random variable and Domain.
His research in Discretization intersects with topics in Stochastic partial differential equation, Differential equation, Optimal control and White noise.
Between 2016 and 2021, his most popular works were:
- Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization (246 citations)
- An Ensemble-Proper Orthogonal Decomposition Method for the Nonstationary Navier--Stokes Equations (38 citations)
- Nonlocal Convection-Diffusion Problems on Bounded Domains and Finite-Range Jump Processes (34 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Statistics
His primary areas of investigation include Applied mathematics, Partial differential equation, Finite element method, Uncertainty quantification and Mathematical analysis.
The study incorporates disciplines such as Bounded function, Projection and Laplace operator in addition to Applied mathematics.
His work carried out in the field of Partial differential equation brings together such families of science as Approximations of π, Fractional calculus, Multiple integral, Euclidean geometry and Stiffness.
His Finite element method study incorporates themes from Gravitational singularity, Spectral method, Finite difference, Discretization and Numerical analysis.
The concepts of his Uncertainty quantification study are interwoven with issues in Inference, Computational model, Navier–Stokes equations, Propagation of uncertainty and Domain.
His Mathematical analysis study combines topics from a wide range of disciplines, such as Radius, Affine approximation and Model order reduction.
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