World's Best Scientists 2026 revealed!

D-Index & Metrics

Discipline name D-Index World Ranking Current World Ranking National Ranking Current National Ranking Publications Citations
Mathematics 49 1166 997 524 414 126 7403
Engineering and Technology 49 4415 4245 1265 1165 126 7396

James V. Burke publications per year

The chart shows the history of publications by James V. Burke between 1985 and 2024, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. James V. Burke published across 40 years, from 1985 to 2024, averaging 3.3 papers a year. Output peaked at 11 publications in 2013. 1 of the 130 publications appeared in the last two years.

No. of publications
2 4 6 8 10
Bar chart. Horizontal axis: year, 1985 to 2024. Vertical axis: number of publications, 0 to 11. Peak 11 publications in 2013. 1985: 1 publication 1986: 1 publication 1987: 1 publication 1988: 1 publication 1989: 2 publications 1990: 2 publications 1991: 4 publications 1992: 4 publications 1993: 2 publications 1994: 2 publications 1995: 1 publication 1996: 2 publications 1997: 1 publication 1998: 4 publications 1999: 3 publications 2000: 3 publications 2001: 2 publications 2002: 5 publications 2003: 6 publications 2004: 4 publications 2005: 6 publications 2006: 3 publications 2007: 2 publications 2008: 4 publications 2009: 1 publication 2010: 0 publications 2011: 6 publications 2012: 6 publications 2013: 11 publications 2014: 6 publications 2015: 4 publications 2016: 0 publications 2017: 2 publications 2018: 10 publications 2019: 6 publications 2020: 5 publications 2021: 4 publications 2022: 2 publications 2023: 0 publications 2024: 1 publication
1985 2024

130 publications in total across all disciplines

View publications per year as a table
James V. Burke: publications per year, 1985 to 2024
Year Publications
1985 1
1986 1
1987 1
1988 1
1989 2
1990 2
1991 4
1992 4
1993 2
1994 2
1995 1
1996 2
1997 1
1998 4
1999 3
2000 3
2001 2
2002 5
2003 6
2004 4
2005 6
2006 3
2007 2
2008 4
2009 1
2010 0
2011 6
2012 6
2013 11
2014 6
2015 4
2016 0
2017 2
2018 10
2019 6
2020 5
2021 4
2022 2
2023 0
2024 1
Total 130
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James V. Burke publications per year - data summary

  • James V. Burke, a Mathematics scholar from University of Washington, has 130 publications recorded across 40 years, from 1985 to 2024.
  • The oldest publication on record dates to 1985 and the most recent to 2024.
  • The most productive year is 2013, with 11 publications.
  • The least productive years with any output are 1985, 1986, 1987, 1988 and others, with 1 publication each.
  • 3 of the 40 years in the span carry no publications at all (2010, 2016 and 2023).
  • The rate of publication averages 3.3 papers per year over the whole span, or 3.5 per year counting only the 37 years with at least one publication.
  • The last 5 years on the chart (2020-2024) hold 12 publications, 9% of the career total.
  • Split into equal eras - 1985-1998: 28 publications (2.0 per year); 1999-2012: 51 publications (3.6 per year); 2013-2024: 51 publications (4.3 per year).
  • Comparing the opening and closing eras, the overall trend of publication is rising.

James V. Burke 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 James V. Burke 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, 122–126 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: 126 publications — 24th percentile

24% 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 91 126
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
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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James V. Burke 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.
  • James V. Burke, a Mathematics scholar from University of Washington, records 126 publications - the 24th percentile of the discipline.
  • 24% of ranked Mathematics scientists score the same or lower than James V. Burke, and about 76% score higher.
  • The median of the discipline falls in the 172–176 publications range, and James V. Burke ranks below 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).

James V. Burke 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 James V. Burke 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
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James V. Burke 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.
  • James V. Burke, a Mathematics scholar from University of Washington, records 49 D-Index - the 69th percentile of the discipline.
  • 69% of ranked Mathematics scientists score the same or lower than James V. Burke, and about 31% score higher.
  • The median of the discipline falls in the 42 D-Index range, and James V. Burke 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

  • 1983 - SPIE Fellow

Overview

James V. Burke is affiliated with the University of Washington in the United States. Their research spans multiple fields, with a primary focus on mathematics and computer science. The subfields of their work include statistics and probability, computational mechanics, computational theory and mathematics, numerical analysis, and artificial intelligence.

Burke's research covers several main topics, including:

  • Sparse and Compressive Sensing Techniques
  • Optimization and Variational Analysis
  • Advanced Optimization Algorithms Research
  • Advanced Causal Inference Techniques
  • Mental Health Research Topics
  • Numerical Methods in Inverse Problems
  • Bayesian Methods and Mixture Models

Their recent publications reflect their work's focus on optimization, algorithms, and statistical methods. Notable papers include:

  • "An Algorithm for Nonparametric Estimation of a Multivariate Mixing Distribution with Applications to Population Pharmacokinetics," 2020, Pharmaceutics
  • "Strong Metric (Sub)regularity of Karush-Kuhn-Tucker Mappings for Piecewise Linear-Quadratic Convex-Composite Optimization and the Quadratic Convergence of Newton's Method," 2020, Mathematics of Operations Research
  • "Inexact Sequential Quadratic Optimization with Penalty Parameter Updates within the QP Solver," 2020, SIAM Journal on Optimization
  • "Convergence of the Gradient Sampling Algorithm on Directionally Lipschitz Functions," 2021, Set-Valued and Variational Analysis
  • "A Relaxation Approach to Feature Selection for Linear Mixed Effects Models," 2023, Journal of Computational and Graphical Statistics

Frequent publication venues for Burke include:

  • Mathematics of Operations Research
  • arXiv (Cornell University)
  • Pharmaceutics
  • SIAM Journal on Optimization
  • Journal of Computational and Graphical Statistics

The scientist has collaborated with several researchers, with repeated coauthors such as:

  • Aleksandr Y. Aravkin
  • Aleksei Sholokhov
  • Damian Santomauro
  • Walter M. Yamada
  • Michael Neely

James V. Burke was awarded the distinction of SPIE Fellow in 1983, marking an acknowledgment within the scientific community.

Best Publications

  • A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization

    James V. Burke;Adrian S. Lewis;Michael L. Overton

  • Weak sharp minima in mathematical programming

    J. V. Burke;M. C. Ferris

  • HIFOO - A MATLAB package for fixed-order controller design and H ∞ optimization

    J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton

  • An exact penalization viewpoint of constrained optimization

    James V. Burke

  • On the identification of active constraints

    James V. Burke;Jorge J. Moré

  • Optical Wavefront Reconstruction: Theory and Numerical Methods

    D. Russell Luke;James V. Burke;Richard G. Lyon

  • On the Lidskii--Vishik--Lyusternik Perturbation Theory for Eigenvalues of Matrices with Arbitrary Jordan Structure

    Julio Moro;James V. Burke;Michael L. Overton

  • Stabilization via Nonsmooth, Nonconvex Optimization

    J.V. Burke;D. Henrion;A.S. Lewis;M.L. Overton

  • Calmness and exact penalization

    J. V. Burke

  • A robust sequential quadratic programming method

    J. V. Burke;S.-P. Han

  • The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems

    James V. Burke;Song Xu

  • A Gauss-Newton method for convex composite optimization

    J. V. Burke;M. C. Ferris

  • Descent methods for composite nondifferentiable optimization problems

    James V. Burke

  • Approximating Subdifferentials by Random Sampling of Gradients

    J. V. Burke;A. S. Lewis;M. L. Overton

  • Weak sharp minima revisited Part I: basic theory

    James V. Burke

  • Characterization of solution sets of convex programs

    J. V. Burke;M. C. Ferris

  • A non–interior predictor–corrector path following algorithm for the monotone linear complementarity problem

    James V. Burke;Song Xu

  • Generalized Kalman smoothing: Modeling and algorithms

    Aleksandr Y. Aravkin;James V. Burke;Lennart Ljung;Aurelie C. Lozano

  • Convergence properties of trust region methods for linear and convex constraints

    J. V. Burke;J. J. Moré;G. Toraldo

  • Two numerical methods for optimizing matrix stability

    James V. Burke;Adrian S. Lewis;Michael L. Overton

  • Weak sharp minima revisited, part II: application to linear regularity and error bounds

    James V. Burke;Sien Deng

Frequent Co-Authors

Gianluigi Pillonetto
Gianluigi Pillonetto University of Padua
Michael L. Overton
Michael L. Overton Courant Institute of Mathematical Sciences
Adrian S. Lewis
Adrian S. Lewis Cornell University
Alessandro Chiuso
Alessandro Chiuso University of Padua
Michael C. Ferris
Michael C. Ferris University of Wisconsin–Madison
Paul Tseng
Paul Tseng University of Washington
Jorge J. Moré
Jorge J. Moré Argonne National Laboratory
Jonathan M. Borwein
Jonathan M. Borwein University of Newcastle Australia
Lennart Ljung
Lennart Ljung Linköping University
Yinyu Ye
Yinyu Ye Stanford University

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