D-Index & Metrics Best Publications

D-Index & Metrics

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 72 Citations 20,383 324 World Ranking 109 National Ranking 62
Engineering and Technology D-index 67 Citations 18,656 304 World Ranking 357 National Ranking 161

Research.com Recognitions

Awards & Achievements

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

Overview

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.

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.

Best Publications

Centroidal Voronoi Tessellations: Applications and Algorithms

Qiang Du;Vance Faber;Max Gunzburger.
Siam Review (1999)

2303 Citations

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

Max D. Gunzburger.
(1989)

1145 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)

781 Citations

Least-Squares Finite Element Methods

Pavel B. Bochev;Max D Gunzburger.
(2009)

543 Citations

Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

Qiang Du;Max D. Gunzburger;Richard B. Lehoucq;Kun Zhou.
Siam Review (2012)

498 Citations

Analysis and approximation of the Ginzburg-Landau model of superconductivity

Qiang Du;Max D. Gunzburger;Janet S. Peterson.
Siam Review (1992)

491 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)

451 Citations

Finite Element Methods of Least-Squares Type

Pavel B. Bochev;Max D. Gunzburger.
Siam Review (1998)

373 Citations

Perspectives in flow control and optimization

Max D. Gunzburger.
(1987)

364 Citations

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

Benjamin Peherstorfer;Karen Willcox;Max D. Gunzburger.
Siam Review (2018)

362 Citations

Best Scientists Citing Max D. Gunzburger

Qiang Du

Qiang Du

Columbia University

Publications: 116

Gianluigi Rozza

Gianluigi Rozza

International School for Advanced Studies

Publications: 65

William Layton

William Layton

University of Pittsburgh

Publications: 48

Yinnian He

Yinnian He

Xi'an Jiaotong University

Publications: 42

Zhangxin Chen

Zhangxin Chen

University of Calgary

Publications: 39

Alfio Quarteroni

Alfio Quarteroni

Politecnico di Milano

Publications: 39

Pavel B. Bochev

Pavel B. Bochev

Sandia National Laboratories

Publications: 37

Wenping Wang

Wenping Wang

University of Hong Kong

Publications: 30

Francesco Bullo

Francesco Bullo

University of California, Santa Barbara

Publications: 29

Irena Lasiecka

Irena Lasiecka

University of Memphis

Publications: 29

Mitchell Luskin

Mitchell Luskin

University of Minnesota

Publications: 29

Thomas A. Manteuffel

Thomas A. Manteuffel

University of Colorado Boulder

Publications: 26

Eli Turkel

Eli Turkel

Tel Aviv University

Publications: 25

Zhiqiang Cai

Zhiqiang Cai

Purdue University West Lafayette

Publications: 25

Bernd R. Noack

Bernd R. Noack

Harbin Institute of Technology

Publications: 23

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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