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Mathematics
USA
2026

D-Index & Metrics

Mathematics

D-Index
83
Citations
28243
World Ranking
121
National Ranking
69

Engineering and Technology

D-Index
83
Citations
28356
World Ranking
433
National Ranking
149

Research.com Recognitions

  • 2026 - Research.com Mathematics in United States Leader Award
  • 2025 - Research.com Mathematics in United States Leader Award
  • 2009 - SIAM Fellow For contributions to control of fluids and scientific computing.

Overview

Max D. Gunzburger is affiliated with Florida State University in the United States. Their research primarily focuses on engineering, with a significant emphasis on mechanics of materials, computational mechanics, electrical and electronic engineering, atmospheric science, and statistics, probability, and uncertainty.

Their scholarly work covers a range of advanced topics, including numerical methods in engineering, advanced numerical methods in computational mathematics, electromagnetic simulation and numerical methods, probabilistic and robust engineering design, model reduction and neural networks, numerical methods for differential equations, and meteorological phenomena and simulations.

Recent publications include:

  • Numerical methods for nonlocal and fractional models, 2020, Acta Numerica
  • A comparison of neural network architectures for data-driven reduced-order modeling, 2022, Computer Methods in Applied Mechanics and Engineering
  • An energy-based coupling approach to nonlocal interface problems, 2020, Computers & Fluids
  • A cookbook for approximating Euclidean balls and for quadrature rules in finite element methods for nonlocal problems, 2021, Mathematical Models and Methods in Applied Sciences
  • A Multifidelity Monte Carlo Method for Realistic Computational Budgets, 2022, Journal of Scientific Computing

Frequent collaborators include Marta D'Elia, Lili Ju, Zhu Wang, Anthony Gruber, and Giacomo Capodaglio.

The scientist has contributed to numerous publication venues, with notable numbers in arXiv (Cornell University), Computer Methods in Applied Mechanics and Engineering, Numerical Methods for Partial Differential Equations, the Journal of Computational Physics, and Acta Numerica.

Max D. Gunzburger has also authored a book published by the Society for Industrial and Applied Mathematics, titled Nonlocal Integral Equation Continuum Models: Nonstandard Symmetric Interaction Neighborhoods and Finite Element Discretizations in 2024.

In recognition of their professional contributions, Max D. Gunzburger was named a SIAM Fellow in 2009 for contributions to control of fluids and scientific computing.

Best Publications

  • Centroidal Voronoi Tessellations: Applications and Algorithms

    Qiang Du;Vance Faber;Max Gunzburger

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

    Max D. Gunzburger

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

    Benjamin Peherstorfer;Karen Willcox;Max D. Gunzburger

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

    Alvin Bayliss;Max Gunzburger;Eli Turkel

  • Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints

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

  • Least-Squares Finite Element Methods

    Pavel B. Bochev;Max D Gunzburger

  • Analysis and approximation of the Ginzburg-Landau model of superconductivity

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

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

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

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

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

  • Perspectives in flow control and optimization

    Max D. Gunzburger

  • Finite Element Methods of Least-Squares Type

    Pavel B. Bochev;Max D. Gunzburger

  • On the existence, uniqueness, and finite element approximation of solutions of the equations of stationary, incompressible magnetohydrodynamics

    Max D. Gunzburger;Amnon J. Meir;Janet S. Peterson

  • POD and CVT-based reduced-order modeling of Navier-Stokes flows

    John Burkardt;Max Gunzburger;Hyung-Chun Lee

  • Constrained Centroidal Voronoi Tessellations for Surfaces

    Qiang Du;Max D. Gunzburger;Lili Ju

  • Continuous and discontinuous finite element methods for a peridynamics model of mechanics

    X. Chen;Max Gunzburger

  • Optimal Model Management for Multifidelity Monte Carlo Estimation

    Benjamin Peherstorfer;Karen Willcox;Max D. Gunzburger

  • Stochastic finite element methods for partial differential equations with random input data

    Max D. Gunzburger;Clayton G. Webster;Guannan Zhang

  • Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition

    Yanzhao Cao;Max Gunzburger;Fei Hua;Xiaoming Wang

  • Probabilistic methods for centroidal Voronoi tessellations and their parallel implementations

    Lili Ju;Qiang Du;Max Gunzburger

  • The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator

    Marta D'elia;Max Gunzburger

Frequent Co-Authors

Pavel B. Bochev
Pavel B. Bochev Sandia National Laboratories
Qiang Du
Qiang Du Columbia University
Lili Ju
Lili Ju University of South Carolina
Xiaoming Wang
Xiaoming Wang Florida State University
Richard B. Lehoucq
Richard B. Lehoucq Sandia National Laboratories
Karen Willcox
Karen Willcox The University of Texas at Austin
Stephen F. Price
Stephen F. Price Los Alamos National Laboratory
John N. Shadid
John N. Shadid Sandia National Laboratories
Buyang Li
Buyang Li Hong Kong Polytechnic University
Traian Iliescu
Traian Iliescu Virginia Tech

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