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Arnold Neumaier

Arnold Neumaier

University of Vienna
Austria

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 49 1112 946 16 16 266 18879
Computer Science 44 7372 7156 59 56 214 17489

Arnold Neumaier publications per year

The chart shows the history of publications by Arnold Neumaier between 1974 and 2025, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. Arnold Neumaier published across 52 years, from 1974 to 2025, averaging 5.6 papers a year. Output peaked at 16 publications in 1989. 8 of the 290 publications appeared in the last two years.

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

290 publications in total across all disciplines

View publications per year as a table
Arnold Neumaier: publications per year, 1974 to 2025
Year Publications
1974 1
1975 1
1976 1
1977 0
1978 0
1979 3
1980 3
1981 9
1982 7
1983 4
1984 6
1985 9
1986 4
1987 4
1988 5
1989 16
1990 5
1991 9
1992 4
1993 2
1994 2
1995 4
1996 3
1997 6
1998 4
1999 5
2000 5
2001 15
2002 6
2003 14
2004 12
2005 4
2006 2
2007 11
2008 9
2009 5
2010 4
2011 7
2012 6
2013 5
2014 9
2015 3
2016 8
2017 10
2018 6
2019 12
2020 3
2021 4
2022 4
2023 1
2024 5
2025 3
Total 290
Download as CSV

Arnold Neumaier 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 Arnold Neumaier 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, 262–266 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: 266 publications — 80th percentile

80% 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 30 266
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
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
Download as CSV

Arnold Neumaier 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 Arnold Neumaier 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, 49 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: 49 D-Index — 69th percentile

69% 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 49
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
84 13
85 6
86+ 99
Download as CSV

Overview

Arnold Neumaier is affiliated with the University of Vienna in Austria and has contributed extensively to the fields of computer science and mathematics. Their research spans several subfields including numerical analysis, computational theory and mathematics, artificial intelligence, atomic and molecular physics and optics, as well as statistical and nonlinear physics.

The scientist's work prominently addresses advanced optimization algorithms research, covering topics such as:

  • Advanced Optimization Algorithms Research
  • Quantum Mechanics and Applications
  • Advanced Graph Theory Research
  • Iterative Methods for Nonlinear Equations
  • Sparse and Compressive Sensing Techniques
  • Metaheuristic Optimization Algorithms Research
  • Advanced Control Systems Optimization

Neumaier has published in various venues with multiple contributions to "Mathematical Programming Computation." Other publication venues include "arXiv (Cornell University)," "ACM Journal of Experimental Algorithmics," "Numerical Algorithms," and "Entropy."

Key papers authored or co-authored by Neumaier include:

  • "On Bounding the Diameter of a Distance-Regular Graph," 2021, COMBINATORICA
  • "Globally linearly convergent nonlinear conjugate gradients without Wolfe line search," 2024, Numerical Algorithms

Frequent collaborators in Neumaier's research are Morteza Kimiaei, Behzad Azmi, Hermann Schichl, Safet Penjić, and Arash Ghaani Farashahi. Among these, Morteza Kimiaei has co-authored multiple publications with them.

Neumaier's scholarly output includes work on black box optimization and bound-constrained optimization, often contributing to the development and analysis of computational methods in these areas.

Best Publications

  • Distance-Regular Graphs

    Andries E Brouwer;Arjeh M Cohen;Arnold Neumaier

  • Interval methods for systems of equations

    Arnold Neumaier

  • Solving Ill-Conditioned and Singular Linear Systems: A Tutorial on Regularization

    Arnold Neumaier

  • A global optimization method, αBB, for general twice-differentiable constrained NLPs — I. Theoretical advances

    C.S. Adjiman;S. Dallwig;C.A. Floudas;A. Neumaier

  • Global Optimization by Multilevel Coordinate Search

    Waltraud Huyer;Arnold Neumaier

  • Estimation of parameters and eigenmodes of multivariate autoregressive models

    Arnold Neumaier;Tapio Schneider

  • Complete search in continuous global optimization and constraint satisfaction

    Arnold Neumaier

  • Restricted maximum likelihood estimation of covariances in sparse linear models

    Arnold Neumaier;Eildert Groeneveld

  • Algorithm 808: ARfit—a matlab package for the estimation of parameters and eigenmodes of multivariate autoregressive models

    Tapio Schneider;Arnold Neumaier

  • SNOBFIT -- Stable Noisy Optimization by Branch and Fit

    Waltraud Huyer;Arnold Neumaier

  • Introduction to Numerical Analysis

    Arnold Neumaier

  • Molecular Modeling of Proteins and Mathematical Prediction of Protein Structure

    Arnold Neumaier

  • Taylor Forms—Use and Limits

    Arnold Neumaier

  • Safe bounds in linear and mixed-integer linear programming

    Arnold Neumaier;Oleg Shcherbina

  • A comparison of complete global optimization solvers

    Arnold Neumaier;Oleg Shcherbina;Waltraud Huyer;Tamás Vinkó

  • RESIDUAL INVERSE ITERATION FOR THE NONLINEAR EIGENVALUE PROBLEM

    A. Neumaier

  • Clouds, Fuzzy Sets, and Probability Intervals

    Arnold Neumaier

  • Benchmarking global optimization and constraint satisfaction codes

    Oleg Shcherbina;Arnold Neumaier;Djamila Sam-Haroud;Xuan-Ha Vu

  • Linear Systems with Large Uncertainties, with Applications to Truss Structures

    Arnold Neumaier;Andrzej Pownuk

  • Interval Slopes for Rational Functions and Associated Centered Forms

    R. Krawczyk;A. Neumaier

Frequent Co-Authors

Andries E. Brouwer
Andries E. Brouwer Eindhoven University of Technology
Damien Stehlé
Damien Stehlé École Normale Supérieure de Lyon
Vladik Kreinovich
Vladik Kreinovich The University of Texas at El Paso
Tapio Schneider
Tapio Schneider California Institute of Technology
Christodoulos A. Floudas
Christodoulos A. Floudas Texas A&M University
Boi Faltings
Boi Faltings École Polytechnique Fédérale de Lausanne
Pascal Van Hentenryck
Pascal Van Hentenryck Georgia Institute of Technology
Claire S. Adjiman
Claire S. Adjiman Imperial College London
Thilo Hofmann
Thilo Hofmann University of Vienna
Jean-Pierre Merlet
Jean-Pierre Merlet French Institute for Research in Computer Science and Automation - INRIA

External Links

Personal website of Arnold Neumaier Google Scholar page

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Best Scientists Citing Arnold Neumaier

Christodoulos A. Floudas

Christodoulos A. Floudas

Texas A&M University

Publications: 92

Paul Terwilliger

Paul Terwilliger

University of Wisconsin–Madison

Publications: 73

Sébastien Lambot

Sébastien Lambot

Université Catholique de Louvain

Publications: 72

Siegfried M. Rump

Siegfried M. Rump

Hamburg University of Technology

Publications: 57

Mark A. Stadtherr

Mark A. Stadtherr

The University of Texas at Austin

Publications: 51

Paul I. Barton

Paul I. Barton

MIT

Publications: 49

Cheryl E. Praeger

Cheryl E. Praeger

University of Western Australia

Publications: 49

Andries E. Brouwer

Andries E. Brouwer

Eindhoven University of Technology

Publications: 42

Vladik Kreinovich

Vladik Kreinovich

The University of Texas at El Paso

Publications: 41

Evert Slob

Evert Slob

Delft University of Technology

Publications: 33

Willem H. Haemers

Willem H. Haemers

Tilburg University

Publications: 28

Leo Liberti

Leo Liberti

École Polytechnique

Publications: 27

Marnik Vanclooster

Marnik Vanclooster

Université Catholique de Louvain

Publications: 27

Chris Godsil

Chris Godsil

University of Waterloo

Publications: 26

Claire S. Adjiman

Claire S. Adjiman

Imperial College London

Publications: 26

Patrick Solé

Patrick Solé

Centre national de la recherche scientifique, CNRS

Publications: 21

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