- Home
- Best Scientists - Mathematics
- Max D. Gunzburger

Mathematics

USA

2023

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

Mathematics
D-index
77
Citations
22,747
471
World Ranking
113
National Ranking
63

Engineering and Technology
D-index
77
Citations
22,688
465
World Ranking
275
National Ranking
121

2023 - Research.com Mathematics in United States Leader Award

2009 - SIAM Fellow For contributions to control of fluids and scientific computing.

- 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.

- 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)

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.

- Mathematical analysis (35.90%)
- Finite element method (33.92%)
- Applied mathematics (26.65%)

- Applied mathematics (26.65%)
- Finite element method (33.92%)
- Partial differential equation (15.64%)

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.

- 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)

- 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.

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

Finite Element Methods for Viscous Incompressible Flows: A Guide to Theory, Practice, and Algorithms

Max D. Gunzburger.

**(1989)**

1189 Citations

Boundary conditions for the numerical solution of elliptic equations in exterior regions

Alvin Bayliss;Max Gunzburger;Eli Turkel.

Siam Journal on Applied Mathematics **(1982)**

822 Citations

Survey of Multifidelity Methods in Uncertainty Propagation, Inference, and Optimization

Benjamin Peherstorfer;Karen Willcox;Max D. Gunzburger.

Siam Review **(2018)**

580 Citations

Least-Squares Finite Element Methods

Pavel B. Bochev;Max D Gunzburger.

**(2015)**

580 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

Stabilization of Low-order Mixed Finite Elements for the Stokes Equations

Pavel B. Bochev;Clark R. Dohrmann;Max D. Gunzburger.

SIAM Journal on Numerical Analysis **(2006)**

490 Citations

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

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

Mathematical Models and Methods in Applied Sciences **(2013)**

425 Citations

Finite Element Methods of Least-Squares Type

Pavel B. Bochev;Max D. Gunzburger.

Siam Review **(1998)**

393 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Sandia National Laboratories

Columbia University

University of South Carolina

Sandia National Laboratories

The University of Texas at Austin

Los Alamos National Laboratory

Sandia National Laboratories

Virginia Tech

Monash University

Florida State University

University of California, Berkeley

Splash 4G

German Aerospace Center

Institute of Photonic Sciences

National Institute of Advanced Industrial Science and Technology

Pontificia Universidad Católica de Chile

University of Sussex

Shandong Agricultural University

Grenoble Alpes University

Institut de Physique du Globe de Paris

China University of Geosciences

Karlsruhe Institute of Technology

University of California, Los Angeles

University of Washington

University of Canberra

Centre for Addiction and Mental Health

Something went wrong. Please try again later.