World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
46
Citations
7651
World Ranking
1374
National Ranking
612

Engineering and Technology

D-Index
46
Citations
7695
World Ranking
5190
National Ranking
1469

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.

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 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 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.

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.

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.

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

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