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Mathematics
USA
2026

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 83 121 100 70 55 494 28243
Engineering and Technology 83 434 411 150 138 507 28356

Max D. Gunzburger publications per year

The chart shows the history of publications by Max D. Gunzburger between 1969 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Max D. Gunzburger published across 57 years, from 1969 to 2025, averaging 9.6 papers a year. Output peaked at 37 publications in 1989. 10 of the 548 publications appeared in the last two years.

No. of publications
10 20 30
Bar chart. Horizontal axis: year, 1969 to 2025. Vertical axis: number of publications, 0 to 37. Peak 37 publications in 1989. 1969: 2 publications 1970: 1 publication 1971: 0 publications 1972: 1 publication 1973: 2 publications 1974: 1 publication 1975: 1 publication 1976: 3 publications 1977: 4 publications 1978: 2 publications 1979: 3 publications 1980: 1 publication 1981: 1 publication 1982: 5 publications 1983: 7 publications 1984: 5 publications 1985: 3 publications 1986: 6 publications 1987: 5 publications 1988: 5 publications 1989: 37 publications 1990: 3 publications 1991: 9 publications 1992: 7 publications 1993: 12 publications 1994: 9 publications 1995: 14 publications 1996: 8 publications 1997: 8 publications 1998: 9 publications 1999: 7 publications 2000: 15 publications 2001: 4 publications 2002: 18 publications 2003: 7 publications 2004: 11 publications 2005: 11 publications 2006: 16 publications 2007: 14 publications 2008: 5 publications 2009: 28 publications 2010: 13 publications 2011: 18 publications 2012: 17 publications 2013: 27 publications 2014: 19 publications 2015: 16 publications 2016: 16 publications 2017: 20 publications 2018: 17 publications 2019: 16 publications 2020: 15 publications 2021: 14 publications 2022: 12 publications 2023: 8 publications 2024: 6 publications 2025: 4 publications
1969 2025

548 publications in total across all disciplines

View publications per year as a table
Max D. Gunzburger: publications per year, 1969 to 2025
Year Publications
1969 2
1970 1
1971 0
1972 1
1973 2
1974 1
1975 1
1976 3
1977 4
1978 2
1979 3
1980 1
1981 1
1982 5
1983 7
1984 5
1985 3
1986 6
1987 5
1988 5
1989 37
1990 3
1991 9
1992 7
1993 12
1994 9
1995 14
1996 8
1997 8
1998 9
1999 7
2000 15
2001 4
2002 18
2003 7
2004 11
2005 11
2006 16
2007 14
2008 5
2009 28
2010 13
2011 18
2012 17
2013 27
2014 19
2015 16
2016 16
2017 20
2018 17
2019 16
2020 15
2021 14
2022 12
2023 8
2024 6
2025 4
Total 548
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Max D. Gunzburger publications per year - data summary

  • Max D. Gunzburger, a Mathematics scholar from Florida State University, has 548 publications recorded across 57 years, from 1969 to 2025.
  • The oldest publication on record dates to 1969 and the most recent to 2025.
  • The most productive year is 1989, with 37 publications.
  • The least productive years with any output are 1970, 1972, 1974, 1975 and others, with 1 publication each.
  • 1 of the 57 years in the span carries no publications at all (1971).
  • The rate of publication averages 9.6 papers per year over the whole span, or 9.8 per year counting only the 56 years with at least one publication.
  • The last 5 years on the chart (2021-2025) hold 44 publications, 8% of the career total.
  • Split into equal eras - 1969-1987: 53 publications (2.8 per year); 1988-2006: 210 publications (11.1 per year); 2007-2025: 285 publications (15.0 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

Max D. Gunzburger publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Max D. Gunzburger sits on this spectrum.

No. of scientists
25 50 75 100
Bar chart with 100 bars. Horizontal axis: publications, 42–46 to 537+. Vertical axis: number of scientists, 0 to 112. Most scientists, 112, have 142–146 publications. The last bar groups every scientist with 537 publications or more. The highlighted bar, 492–496 publications, is where this scientist sits. 42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientist 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientist 522–526 publications: 3 scientists 527–531 publications: 1 scientist 532–536 publications: 4 scientists 537+ publications: 100 scientists
42–46 publications 537+

This scientist: 494 publications — 96th percentile

96% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

View publications distribution as a table
Number of Mathematics scientists by publication count, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
Publications Scientists This scientist
42–46 3
47–51 5
52–56 7
57–61 20
62–66 14
67–71 25
72–76 19
77–81 35
82–86 50
87–91 60
92–96 86
97–101 84
102–106 83
107–111 90
112–116 99
117–121 90
122–126 91
127–131 109
132–136 110
137–141 98
142–146 112
147–151 102
152–156 88
157–161 106
162–166 83
167–171 102
172–176 77
177–181 81
182–186 78
187–191 71
192–196 92
197–201 64
202–206 69
207–211 64
212–216 62
217–221 58
222–226 53
227–231 50
232–236 46
237–241 46
242–246 46
247–251 43
252–256 29
257–261 45
262–266 30
267–271 33
272–276 34
277–281 30
282–286 31
287–291 21
292–296 34
297–301 26
302–306 10
307–311 17
312–316 23
317–321 13
322–326 16
327–331 26
332–336 13
337–341 13
342–346 16
347–351 17
352–356 12
357–361 18
362–366 18
367–371 9
372–376 11
377–381 8
382–386 8
387–391 9
392–396 9
397–401 8
402–406 11
407–411 6
412–416 6
417–421 9
422–426 8
427–431 5
432–436 8
437–441 8
442–446 4
447–451 4
452–456 4
457–461 2
462–466 2
467–471 4
472–476 3
477–481 3
482–486 6
487–491 3
492–496 5 494
497–501 5
502–506 1
507–511 6
512–516 4
517–521 1
522–526 3
527–531 1
532–536 4
537+ 100
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Max D. Gunzburger publication distribution in Mathematics in 2026 - data summary

  • The chart plots the publication count of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 100 ranges running from 42–46 to 537+ publications.
  • Max D. Gunzburger, a Mathematics scholar from Florida State University, records 494 publications - the 96th percentile of the discipline.
  • 96% of ranked Mathematics scientists score the same or lower than Max D. Gunzburger, and about 4% score higher.
  • The median of the discipline falls in the 172–176 publications range, and Max D. Gunzburger ranks above the median.
  • The most crowded range is 142–146 publications, holding 112 scientists (3% of the field).
  • 47% of the field sits in the lowest quarter of the value range (up to 162–166 publications), so the distribution leans towards the lower end of the scale.
  • The final bar has no upper bound: it groups every scientist with 537 publications or more, 100 scientists in all (3% of the field).

Max D. Gunzburger D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Max D. Gunzburger sits on this spectrum.

No. of scientists
50 100 150
Bar chart with 57 bars. Horizontal axis: D-Index, 30 to 86+. Vertical axis: number of scientists, 0 to 174. Most scientists, 174, have 30 D-Index. The last bar groups every scientist with 86 D-Index or more. The highlighted bar, 83 D-Index, is where this scientist sits. 30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 83 D-Index — 97th percentile

97% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

View D-Index distribution as a table
Number of Mathematics scientists by D-index, Research.com 2026 ranking edition. Based on 3,584 ranked scientists.
D-Index Scientists This scientist
30 174
31 151
32 174
33 117
34 136
35 127
36 145
37 153
38 150
39 150
40 138
41 136
42 93
43 108
44 115
45 112
46 103
47 75
48 59
49 67
50 60
51 57
52 59
53 62
54 60
55 50
56 42
57 54
58 50
59 42
60 41
61 35
62 40
63 21
64 31
65 27
66 29
67 19
68 25
69 17
70 18
71 12
72 14
73 13
74 18
75 9
76 11
77 10
78 9
79 16
80 12
81 10
82 5
83 5 83
84 13
85 6
86+ 99
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Max D. Gunzburger D-index placement in Mathematics in 2026 - data summary

  • The chart plots the discipline H-index (D-index) of all 3,584 Mathematics scientists ranked by Research.com in 2026, grouped into 57 ranges running from 30 to 86+ D-Index.
  • Max D. Gunzburger, a Mathematics scholar from Florida State University, records 83 D-Index - the 97th percentile of the discipline.
  • 97% of ranked Mathematics scientists score the same or lower than Max D. Gunzburger, and about 3% score higher.
  • The median of the discipline falls in the 42 D-Index range, and Max D. Gunzburger ranks above the median.
  • The most crowded range is 30 D-Index, holding 174 scientists (5% of the field).
  • 58% of the field sits in the lowest quarter of the value range (up to 44 D-Index), so the distribution is heavily right-skewed and high scores are rare.
  • The final bar has no upper bound: it groups every scientist with 86 D-Index or more, 99 scientists in all (3% of the field).

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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