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 46 1374 1181 612 487 183 7651
Engineering and Technology 46 5190 4998 1469 1358 185 7695

William Layton publications per year

The chart shows the history of publications by William Layton between 1979 and 2026, highlighting the no. of papers published in each year and offering an overview of the publication velocity of this scholar. William Layton published across 48 years, from 1979 to 2026, averaging 4.3 papers a year. Output peaked at 13 publications in 2012. 5 of the 208 publications appeared in the last two years.

No. of publications
5 10
Bar chart. Horizontal axis: year, 1979 to 2026. Vertical axis: number of publications, 0 to 13. Peak 13 publications in 2012. 1979: 1 publication 1980: 1 publication 1981: 1 publication 1982: 2 publications 1983: 4 publications 1984: 5 publications 1985: 4 publications 1986: 2 publications 1987: 3 publications 1988: 3 publications 1989: 1 publication 1990: 4 publications 1991: 1 publication 1992: 2 publications 1993: 3 publications 1994: 3 publications 1995: 4 publications 1996: 7 publications 1997: 2 publications 1998: 5 publications 1999: 3 publications 2000: 6 publications 2001: 3 publications 2002: 9 publications 2003: 2 publications 2004: 4 publications 2005: 4 publications 2006: 4 publications 2007: 9 publications 2008: 10 publications 2009: 6 publications 2010: 7 publications 2011: 4 publications 2012: 13 publications 2013: 4 publications 2014: 4 publications 2015: 6 publications 2016: 4 publications 2017: 2 publications 2018: 9 publications 2019: 4 publications 2020: 6 publications 2021: 7 publications 2022: 1 publication 2023: 5 publications 2024: 9 publications 2025: 4 publications 2026: 1 publication
1979 2026

208 publications in total across all disciplines

View publications per year as a table
William Layton: publications per year, 1979 to 2026
Year Publications
1979 1
1980 1
1981 1
1982 2
1983 4
1984 5
1985 4
1986 2
1987 3
1988 3
1989 1
1990 4
1991 1
1992 2
1993 3
1994 3
1995 4
1996 7
1997 2
1998 5
1999 3
2000 6
2001 3
2002 9
2003 2
2004 4
2005 4
2006 4
2007 9
2008 10
2009 6
2010 7
2011 4
2012 13
2013 4
2014 4
2015 6
2016 4
2017 2
2018 9
2019 4
2020 6
2021 7
2022 1
2023 5
2024 9
2025 4
2026 1
Total 208
Download as CSV

William Layton 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 William Layton 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, 182–186 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: 183 publications — 55th percentile

55% 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 78 183
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
Download as CSV

William Layton 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 William Layton 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, 46 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: 46 D-Index — 64th percentile

64% 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 46
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
84 13
85 6
86+ 99
Download as CSV

Overview

William Layton is a researcher affiliated with the University of Pittsburgh in the United States. Their work primarily falls within the field of Engineering, with a particular focus on Computational Mechanics, Numerical Analysis, and Atmospheric Science. Other subfields include Computational Theory and Mathematics as well as Environmental Engineering.

The main research topics covered by Layton involve advanced numerical methods in computational mathematics, computational fluid dynamics and aerodynamics, as well as fluid dynamics and turbulent flows. Additional interests include numerical methods for differential equations, meteorological phenomena and simulations, matrix theory and algorithms, and studies related to wind and air flow.

Layton has contributed to several recent publications, including:

  • "Adaptive partitioned methods for the time-accurate approximation of the evolutionary Stokes-Darcy system," 2020, published in Computer Methods in Applied Mechanics and Engineering
  • "A Variable Stepsize, Variable Order Family of Low Complexity," 2021, published in SIAM Journal on Scientific Computing
  • "On the Foundations of Eddy Viscosity Models of Turbulence," 2020, published in Fluids
  • "A general linear method approach to the design and optimization of efficient, accurate, and easily implemented time-stepping methods in CFD," 2022, published in Journal of Computational Physics
  • "Time step adaptivity in the method of Dahlquist, Liniger and Nevanlinna," 2023, published in Advances in Computational Science and Engineering

Their coauthors include Aytekin Çıbık, Cătălin Trenchea, Rui Fang, Michael McLaughlin, and Michael Schneier, with multiple collaborations reflecting ongoing research partnerships.

Layton has published in prominent venues such as arXiv (Cornell University), Numerical Methods for Partial Differential Equations, Computer Methods in Applied Mechanics and Engineering, Applied Mathematics Letters, and SSRN Electronic Journal.

In addition to journal articles, Layton is an author of a book titled Numerical Linear Algebra, published in 2020 by World Scientific, which has gained citation recognition.

Best Publications

  • Coupling Fluid Flow with Porous Media Flow

    William J. Layton;Friedhelm Schieweck;Ivan Yotov

  • Mathematics of large eddy simulation of turbulent flows

    Luigi Carlo Berselli;T Iliescu;W. J. Layton

  • Introduction to the Numerical Analysis of Incompressible Viscous Flows

    William Layton

  • A Two-Level Method with Backtracking for the Navier--Stokes Equations

    W. Layton;L. Tobiska

  • A two-level discretization method for the Navier-Stokes equations

    W. Layton

  • A connection between subgrid scale eddy viscosity and mixed methods

    W. Layton

  • APPROXIMATION OF THE LARGER EDDIES IN FLUID MOTIONS II: A MODEL FOR SPACE-FILTERED FLOW

    Giovanni P. Galdi;William J. Layton

  • An analysis of the finite element method for natural convection problems

    J. Boland;W. Layton

  • A two-level variational multiscale method for convection-dominated convection-diffusion equations

    Volker John;Songul Kaya;William Layton

  • On the accuracy of the rotation form in simulations of the Navier-Stokes equations

    William Layton;Carolina C. Manica;Monika Neda;Maxim Olshanskii

  • Approximate Deconvolution Models of Turbulence: Analysis, Phenomenology and Numerical Analysis

    William J. Layton;Leo G. Rebholz

  • Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows

    William J. Layton;Hoang Tran;Catalin Trenchea

  • A decoupling method with different subdomain time steps for the nonstationary stokes–darcy model

    Li Shan;Haibiao Zheng;William J. Layton

  • On a well-posed turbulence model

    William J. Layton;Roger Lewandowski

  • Error analysis for finite element methods for steady natural convection problems

    J. Boland;W. Layton

  • Two-level Picard and modified Picard methods for the Navier-Stokes equations

    W. Layton;W. Lenferink

  • Numerical analysis and computational testing of a high accuracy Leray‐deconvolution model of turbulence

    William Layton;Carolina C. Manica;Monika Neda;Leo G. Rebholz

  • A defect-correction method for the incompressible Navier-Stokes equations

    W. Layton;H. K. Lee;J. Peterson

  • A Two-Level Method for the Discretization of Nonlinear Boundary Value Problems

    O. Axelsson;W. Layton

  • A multilevel mesh independence principle for the Navier-Stokes equations

    W. Layton;H. W. J. Lenferink

Frequent Co-Authors

Volker John
Volker John Freie Universität Berlin
Traian Iliescu
Traian Iliescu Virginia Tech
Mihai Anitescu
Mihai Anitescu Argonne National Laboratory
Béatrice Rivière
Béatrice Rivière Rice University
Giovanni P. Galdi
Giovanni P. Galdi University of Pittsburgh
Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
Ivan Yotov
Ivan Yotov University of Pittsburgh
Qiang Du
Qiang Du Columbia University
Maxim A. Olshanskii
Maxim A. Olshanskii University of Houston
Caterina Rosano
Caterina Rosano University of Pittsburgh

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can expand career opportunities in fields like finance, business, and marketing. Pursuing a cheap masters in finance is a practical option that complements strong quantitative skills and opens doors to roles in investment analysis, financial planning, and risk management.

If you’re looking for flexible but fast-paced graduate programs, consider the shortest online mba programs, which allow professionals to quickly gain essential business leadership abilities without putting their careers on hold.

Marketing is another strong pathway for math graduates, especially those interested in data-driven decision-making. Earning an online marketing degree can provide valuable skills in analytics, customer insight, and strategy, often coupled with attractive earning potential.

For those who prefer an accelerated business focus, the cheapest 1 year online mba programs offer a cost-effective and time-efficient pathway to boost leadership credentials and apply mathematical expertise to strategic decision-making roles.

Best Scientists Citing William Layton

Trending Scientists

Recently Published Articles