World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
60
Citations
12269
World Ranking
559
National Ranking
288

Charles R. Doering 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 Charles R. Doering 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: 210 publications — 66th percentile

66% of scientists in this discipline score the same or lower.

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

Charles R. Doering 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 Charles R. Doering 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: 60 D-Index — 85th percentile

85% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2016 - Fellow of John Simon Guggenheim Memorial Foundation
  • 2011 - SIAM Fellow For contributions to understanding of phenomena in nonlinear and stochastic dynamical systems, turbulent transport, and mixing.

Overview

Charles R. Doering was affiliated with the University of Michigan-Ann Arbor in the United States. Their research work was situated primarily within the fields of Engineering and Physics and Astronomy. The subfields they contributed to included Computational Mechanics, Statistical and Nonlinear Physics, Global and Planetary Change, Statistics, Probability and Uncertainty, and Atmospheric Science.

The main topics addressed in their research spanned Fluid Dynamics and Turbulent Flows, Plant Water Relations and Carbon Dynamics, Probabilistic and Robust Engineering Design, Advanced Thermodynamics and Statistical Mechanics, Meteorological Phenomena and Simulations, Model Reduction and Neural Networks, and Fractional Differential Equations Solutions.

Among their recent papers were the following:

  • Turning up the heat in turbulent thermal convection, 2020, Proceedings of the National Academy of Sciences
  • Steady Rayleigh-Bénard convection between no-slip boundaries, 2021, Journal of Fluid Mechanics
  • Stability and Resilience of Transportation Systems: Is a Traffic Jam About to Occur?, 2021, IEEE Transactions on Intelligent Transportation Systems
  • Wall-to-wall optimal transport in two dimensions, 2020, Journal of Fluid Mechanics
  • Absence of Evidence for the Ultimate State of Turbulent Rayleigh-Bénard Convection, 2020, Physical Review Letters

Frequent coauthors included:

  • David Goluskin
  • Matthew Olson
  • Baole Wen
  • Amin Ghadami
  • John M. Drake

They published regularly in the following venues:

  • Journal of Fluid Mechanics
  • arXiv (Cornell University)
  • Proceedings of the National Academy of Sciences
  • IEEE Transactions on Intelligent Transportation Systems
  • Physica D Nonlinear Phenomena

Charles R. Doering was recognized as a Fellow of the John Simon Guggenheim Memorial Foundation in 2016. Earlier, in 2011, they were named a SIAM Fellow for contributions to the understanding of phenomena in nonlinear and stochastic dynamical systems, turbulent transport, and mixing.

Best Publications

  • Applied analysis of the Navier-Stokes equations

    Charles R. Doering;J. D. Gibbon

  • Nonequilibrium fluctuation-induced transport

    Charles R. Doering;Charles R. Doering;Werner Horsthemke;Werner Horsthemke;Jason Riordan;Jason Riordan

  • Resonant activation over a fluctuating barrier.

    Charles R. Doering;Jonathan C. Gadoua

  • Low-dimensional behaviour in the complex Ginzburg-Landau equation

    C R Doering;J D Gibbon;D D Holm;B Nicolaenko

  • Energy dissipation in shear driven turbulence.

    Charles R. Doering;Peter Constantin

  • Variational bounds on energy dissipation in incompressible flows. III. Convection

    Charles R. Doering;Peter Constantin

  • Statics and dynamics of a diffusion-limited reaction: Anomalous kinetics, nonequilibrium self-ordering, and a dynamic transition

    Daniel ben-Avraham;Daniel ben-Avraham;Martin A. Burschka;Martin A. Burschka;Charles R. Doering

  • Extinction Times for Birth-Death Processes: Exact Results, Continuum Asymptotics, and the Failure of the Fokker--Planck Approximation

    Charles R. Doering;Khachik V. Sargsyan;Leonard M. Sander

  • Interparticle distribution functions and rate equations for diffusion-limited reactions

    Charles R. Doering;Daniel ben-Avraham

  • Weak and strong solutions of the complex Ginzburg-Landau equation

    Charles R. Doering;John D. Gibbon;C. David Levermore

  • Variational bounds on energy dissipation in incompressible flows: Shear flow.

    Charles R. Doering;Peter Constantin

  • On the possibility of soft and hard turbulence in the complex Ginzburg-Landau equation

    M. Bartuccelli;P. Constantin;C. R. Doering;J. D. Gibbon

  • Cooperative behavior in periodically driven noisy integrate-fire models of neuronal dynamics

    Adi R. Bulsara;Timothy C Elston;Charles R. Doering;Steve B. Lowen

  • Infinite prandtl number convection

    Peter Constantin;Charles R. Doering

  • Energy dissipation in body-forced turbulence

    Charles R. Doering;Ciprian Foias

  • Optimal stirring strategies for passive scalar mixing

    Zhi Lin;Jean Luc Thiffeault;Charles R. Doering

  • Comparison of turbulent thermal convection between conditions of constant temperature and constant flux.

    Hans Johnston;Charles R. Doering

  • The 3D Navier-Stokes Problem

    Charles R. Doering

  • Interacting particles, the stochastic Fisher–Kolmogorov–Petrovsky–Piscounov equation, and duality

    Charles R. Doering;Carl Mueller;Peter Smereka

  • Thermally activated escape over fluctuating barriers

    U. Zürcher;C. R. Doering

Frequent Co-Authors

John D. Gibbon
John D. Gibbon Imperial College London
Peter Constantin
Peter Constantin Princeton University
Bruno Eckhardt
Bruno Eckhardt Philipp University of Marburg
Daniel ben-Avraham
Daniel ben-Avraham Clarkson University
Michael Renardy
Michael Renardy Virginia Tech
Jörg Schumacher
Jörg Schumacher Ilmenau University of Technology
Edriss S. Titi
Edriss S. Titi Texas A&M University
Alexander Kurganov
Alexander Kurganov Southern University of Science and Technology
Darryl D. Holm
Darryl D. Holm Imperial College London
Friedrich H. Busse
Friedrich H. Busse University of Bayreuth

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