World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
45
Citations
14020
World Ranking
1421
National Ranking
628

Engineering and Technology

D-Index
45
Citations
14070
World Ranking
5335
National Ranking
1491

Mark Ainsworth 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 Mark Ainsworth 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: 166 publications — 47th percentile

47% of scientists in this discipline score the same or lower.

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

Mark Ainsworth 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 Mark Ainsworth 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: 45 D-Index — 61st percentile

61% 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

  • 2014 - SIAM Fellow For contributions to numerical analysis and scientific computing including finite element methods, adaptive methods, reliability, and a posteriori error estimation.

Overview

Mark Ainsworth is affiliated with Brown University in the United States and has a multidisciplinary research profile bridging medicine and engineering. Their work spans several subfields including computational mechanics, infectious diseases, genetics, epidemiology, and mechanics of materials. This diverse expertise is reflected in the topics covered in their publications.

The main areas of research covered by Ainsworth include:

  • Inflammatory Bowel Disease
  • Advanced Numerical Methods in Computational Mathematics
  • COVID-19 Clinical Research Studies
  • Lattice Boltzmann Simulation Studies
  • Microscopic Colitis
  • Numerical methods in engineering
  • Long-Term Effects of COVID-19

Frequent collaborators associated with Ainsworth are:

  • P Frey
  • Sergio R. Idelsohn
  • Wolfgang A. Wall
  • Álvaro L. G. A. Coutinho
  • Kazuo Kashiyama

Ainsworth's research has been published primarily in specialized journals focused on computational methods and medicine, such as:

  • International Journal for Numerical Methods in Fluids
  • SIAM Journal on Scientific Computing
  • arXiv (Cornell University)
  • Computer Methods in Applied Mechanics and Engineering
  • Scandinavian Journal of Gastroenterology

Notable recent papers associated with the researcher include:

  • "Physical, cognitive, and mental health impacts of COVID-19 after hospitalisation (PHOSP-COVID): a UK multicentre, prospective cohort study" (2021), The Lancet Respiratory Medicine
  • "Azithromycin in patients admitted to hospital with COVID-19 (RECOVERY): a randomised, controlled, open-label, platform trial" (2021), The Lancet
  • "Performance characteristics of five immunoassays for SARS-CoV-2: a head-to-head benchmark comparison" (2020), The Lancet Infectious Diseases
  • "Clinical characteristics with inflammation profiling of long COVID and association with 1-year recovery following hospitalisation in the UK: a prospective observational study" (2022), The Lancet Respiratory Medicine
  • "A blood atlas of COVID-19 defines hallmarks of disease severity and specificity" (2022), Cell

The researcher received recognition as a SIAM Fellow in 2014 for contributions to numerical analysis and scientific computing including finite element methods, adaptive methods, reliability, and a posteriori error estimation.

Best Publications

  • A Posteriori Error Estimation in Finite Element Analysis

    Mark Ainsworth;J.Tinsley Oden

  • A Posteriori Error Estimation in Finite Element Analysis: Oden/A Posteriori

    Mark Ainsworth;J. Tinsley Oden

  • A unified approach to a posteriori error estimation using element residual methods

    Mark Ainsworth;J. Tinsley Oden

  • What is the fractional Laplacian? A comparative review with new results

    Anna Lischke;Guofei Pang;Mamikon A. Gulian;Fangying Song

  • Dispersive and dissipative behaviour of high order discontinuous Galerkin finite element methods

    Mark Ainsworth

  • Discrete Dispersion Relation for hp -Version Finite Element Approximation at High Wave Number

    Mark Ainsworth

  • Dispersive and Dissipative Properties of Discontinuous Galerkin Finite Element Methods for the Second-Order Wave Equation

    M. Ainsworth;P. Monk;W. Muniz

  • Analysis of the Zienkiewicz–Zhu a‐posteriori error estimator in the finite element method

    M. Ainsworth;J. Z. Zhu;A. W. Craig;O. C. Zienkiewicz

  • Hierarchic finite element bases on unstructured tetrahedral meshes

    Mark Ainsworth;Joe Coyle

  • Aspects of an adaptive hp-finite element method : Adaptive strategy, conforming approximation and efficient solvers

    Mark Ainsworth;Bill Senior

  • Analysis and Approximation of a Fractional Cahn--Hilliard Equation

    Mark Ainsworth;Zhiping Mao

  • A Posteriori Error Estimation for Discontinuous Galerkin Finite Element Approximation

    Mark Ainsworth

  • A Posteriori Error Estimators for the Stokes and Oseen Equations

    Mark Ainsworth;J. Tinsley Oden

  • A procedure for a posteriori error estimation for h-p finite element methods

    Mark Ainsworth;J. Tinsley Oden

  • Robust A Posteriori Error Estimation for Nonconforming Finite Element Approximation

    Mark Ainsworth

  • Hierarchic hp-edge element families for Maxwell's equations on hybrid quadrilateral/triangular meshes

    Mark Ainsworth;Joe Coyle

  • An a posteriori error estimate for finite element approximations of the Navier-Stokes equations

    J. Tinsley Oden;Weihan Wu;Mark Ainsworth

  • An adaptive refinement strategy for hp -finite element computations

    Mark Ainsworth;Bill Senior

  • A unified Petrov-Galerkin spectral method for fractional PDEs

    Mohsen Zayernouri;Mark Ainsworth;George Em Karniadakis

  • A posteriori error estimators in the finite element method

    Mark Ainsworth;Alan Craig

  • What Is the Fractional Laplacian

    Anna Lischke;Guofei Pang;Mamikon Gulian;Fangying Song

Frequent Co-Authors

Scott Klasky
Scott Klasky Oak Ridge National Laboratory
Norbert Podhorszki
Norbert Podhorszki Oak Ridge National Laboratory
George Em Karniadakis
George Em Karniadakis Brown University
Tahsin Kurc
Tahsin Kurc Stony Brook University
Manish Parashar
Manish Parashar University of Utah
Leszek Demkowicz
Leszek Demkowicz The University of Texas at Austin
J. T. Oden
J. T. Oden The University of Texas at Austin
Ian Foster
Ian Foster University of Chicago
O.C. Zienkiewicz
O.C. Zienkiewicz Swansea University
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin

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