World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
56
Citations
13421
World Ranking
728
National Ranking
53

Engineering and Technology

D-Index
54
Citations
13097
World Ranking
3139
National Ranking
202

Charles M. Elliott 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 M. Elliott 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: 175 publications — 51st percentile

51% of scientists in this discipline score the same or lower.

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

Charles M. Elliott 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 M. Elliott 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: 56 D-Index — 80th percentile

80% 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

  • 2015 - SIAM Fellow For contributions to the numerical analysis of nonlinear partial differential equations.
  • 1990 - SPIE Fellow
  • 1988 - Fellow of the Royal Society, United Kingdom

Overview

Charles M. Elliott is affiliated with the University of Warwick in the United Kingdom. Their research spans a variety of topics primarily within computer science, with a focus on computational theory and mathematics.

Their recent publications include the following papers:

  • Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces, 2022, published in Numerische Mathematik
  • Small deformations of spherical biomembranes, 2020, published in Advanced Studies in Pure Mathematics
  • Navier-Stokes-Cahn-Hilliard equations on evolving surfaces, 2024, published in Interfaces and Free Boundaries Mathematical Analysis Computation and Applications

Frequent coauthors with whom Charles M. Elliott has collaborated extensively include:

  • Diogo Caetano
  • Thomas Sales
  • Harald Garcke
  • Luke Hatcher
  • Ana Djurdjevac

The main publication venues for their work encompass diverse journals and repositories, evidencing a broad engagement across applied mathematics and computational fields:

  • arXiv (Cornell University)
  • Numerische Mathematik
  • Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
  • European Journal of Applied Mathematics
  • Oberwolfach Reports

Charles M. Elliott's primary fields of study are in computer science, with subfields including:

  • Computational Theory and Mathematics
  • Materials Chemistry
  • Computational Mechanics
  • Cell Biology
  • Applied Mathematics

The scientist's work addresses a range of research topics related to advanced mathematical and computational models:

  • Advanced Mathematical Modeling in Engineering
  • Solidification and crystal growth phenomena
  • Advanced Numerical Methods in Computational Mathematics
  • Lipid Membrane Structure and Behavior
  • Differential Equations and Numerical Methods
  • Nonlinear Partial Differential Equations
  • Aquatic and Environmental Studies

Among significant recognitions, Charles M. Elliott has received several fellowships:

  • SIAM Fellow (2015) for contributions to the numerical analysis of nonlinear partial differential equations
  • SPIE Fellow (1990)
  • Fellow of the Royal Society, United Kingdom (1988)

Best Publications

  • Weak and variational methods for moving boundary problems

    Charles M. Elliott;J. R Ockendon

  • On the Cahn-Hilliard equation

    Charles M. Elliott;Zheng Songmu

  • Finite element methods for surface PDEs

    Gerhard Dziuk;Charles M. Elliott

  • On the Cahn-Hilliard equation with degenerate mobility

    Charles M. Elliott;Harald Garcke

  • Computation of geometric partial differential equations and mean curvature flow

    Klaus Deckelnick;Gerhard Dziuk;Charles M. Elliott

  • Finite elements on evolving surfaces

    G. Dziuk;C. M. Elliott

  • The global dynamics of discrete semilinear parabolic equations

    C. M. Elliott;A. M. Stuart

  • The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature

    J. W. Cahn;C. M. Elliott;A. Novick-Cohen

  • The Cahn-Hilliard Model for the Kinetics of Phase Separation

    C. M. Elliott

  • Numerical Studies of the Cahn-Hilliard Equation for Phase Separation

    Charles M. Elliott;Donald A. French

  • A second order splitting method for the Cahn-Hilliard equation

    C. M. Elliott;D. A. French;F. A. Milner

  • The Cahn–Hilliard gradient theory for phase separation with non-smooth free energy Part II: Numerical analysis

    J. F. Blowey;C. M. Elliott

  • Numerical analysis of the Cahn-Hilliard equation with a logarithmic free energy

    M. I. Copetti;C. M. Elliott

  • Error estimates with smooth and nonsmooth data for a finite element method for the Cahn-Hilliard equation

    Charles M. Elliott;Stig Larsson

  • Spinodal decomposition in Fe-Cr alloys: Experimental study at the atomic level and comparison with computer models—I. Introduction and methodology

    M.K. Miller;J.M. Hyde;M.G. Hetherington;A. Cerezo

  • SURFACE FINITE ELEMENTS FOR PARABOLIC EQUATIONS

    G. Dziuk;C. M. Elliott

  • Fitted and Unfitted Finite-Element Methods for Elliptic Equations with Smooth Interfaces

    John W. Barrett;Charles M. Elliott

  • Modeling and computation of two phase geometric biomembranes using surface finite elements

    Charles M. Elliott;Björn Stinner

  • A variational inequality approach to Hele-Shaw flow with a moving boundary

    C. M. Elliott;V. Janovský

  • A nonconforming finite-element method for the two-dimensional Cahn-Hilliard equation

    Charles M. Elliott;Donald A. French

Frequent Co-Authors

John W. Barrett
John W. Barrett University of Nottingham
Andrew M. Stuart
Andrew M. Stuart California Institute of Technology
Yoshikazu Giga
Yoshikazu Giga University of Tokyo
Avner Friedman
Avner Friedman The Ohio State University
Xinfu Chen
Xinfu Chen University of Pittsburgh
Michael K Miller
Michael K Miller Oak Ridge National Laboratory
Stig Larsson
Stig Larsson Chalmers University of Technology
Harald Garcke
Harald Garcke University of Regensburg
Michael Hinze
Michael Hinze University of Koblenz and Landau
Paul C. Fife
Paul C. Fife University of Utah

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