World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
47
Citations
13319
World Ranking
1242
National Ranking
67

Martin Stynes 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 Martin Stynes 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: 208 publications — 65th percentile

65% of scientists in this discipline score the same or lower.

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

Martin Stynes 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 Martin Stynes 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: 47 D-Index — 66th percentile

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

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

Overview

Martin Stynes is affiliated with the Beijing Computational Science Research Center in China. Their research primarily focuses on mathematics and engineering, with a significant emphasis on numerical analysis, modeling and simulation, computational mechanics, applied mathematics, and computational theory and mathematics.

The scientist's work covers key topics including differential equations and numerical methods, fractional differential equations solutions, advanced numerical methods in computational mathematics, advanced mathematical modeling in engineering, numerical methods for differential equations, numerical methods in engineering, and nonlinear differential equations analysis.

Martin Stynes has published extensively in various academic venues. Frequent publication outlets for their research include:

  • Journal of Scientific Computing
  • arXiv (Cornell University)
  • Journal of Computational and Applied Mathematics
  • Numerical Algorithms
  • Computational Methods in Applied Mathematics

The scientist has collaborated regularly with several coauthors, notable frequent collaborators being:

  • Chaobao Huang
  • Xiangyun Meng
  • Yongtao Zhou
  • Yao Cheng
  • Hu Chen

Recent papers by Martin Stynes include:

  • "Blow-up of error estimates in time-fractional initial-boundary value problems," 2020, IMA Journal of Numerical Analysis
  • "Good (and Not So Good) Practices in Computational Methods for Fractional Calculus," 2020, Mathematics
  • "α-robust error analysis of a mixed finite element method for a time-fractional biharmonic equation," 2020, Numerical Algorithms
  • "Superconvergence of a Finite Element Method for the Multi-term Time-Fractional Diffusion Problem," 2020, Journal of Scientific Computing
  • "Error Analysis of a Finite Difference Method on Graded Meshes for a Multiterm Time-Fractional Initial-Boundary Value Problem," 2020, Computational Methods in Applied Mathematics

Best Publications

  • Robust Numerical Methods for Singularly Perturbed Differential Equations: Convection-Diffusion-Reaction and Flow Problems

    Hans-Görg Roos;M. Stynes;L. Tobiska

  • Numerical Methods for Singularly Perturbed Differential Equations

    Hans-Görg Roos;Martin Stynes;Lutz Tobiska

  • Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

    Martin Stynes;Eugene O'Riordan;José Luis Gracia

  • Numerical methods for singularly perturbed differential equations : convection-diffusion and flow problems

    Hans-Görg Roos;M. Stynes;L. Tobiska

  • Numerical Treatment of Partial Differential Equations

    Christian Grossmann;Hans-Gorg Roos;Martin Stynes

  • Steady-state convection-diffusion problems

    Martin Stynes

  • Why fractional derivatives with nonsingular kernels should not be used

    Kai Diethelm;Roberto Garrappa;Andrea Giusti;Martin Stynes

  • The midpoint upwind scheme

    Martin Stynes;Hans-Görg Roos

  • A Robust Adaptive Method for a Quasi-Linear One-Dimensional Convection-Diffusion Problem

    Natalia Kopteva;Martin Stynes

  • Too much regularity may force too much uniqueness

    Martin Stynes

  • Asymptotic analysis and Shishkin-type decomposition for an elliptic convection-diffusion problem

    Torsten Linß;Martin Stynes

  • A Uniformly Convergent Galerkin Method on a Shishkin Mesh for a Convection-Diffusion Problem

    Martin Stynes;Eugene O'Riordan

  • A uniformly convergent numerical method for a coupled system of two singularly perturbed linear reaction–diffusion problems

    Niall Madden;Martin Stynes

  • On the Stability of Residual-Free Bubbles for Convection-Diffusion Problemsand their Approximation by a Two-Level Finite Element Method.

    L. P. Franca;A. Nesliturk;M. Stynes

  • Error Analysis of a Second-Order Method on Fitted Meshes for a Time-Fractional Diffusion Problem

    Hu Chen;Martin Stynes

  • The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy

    Martin Stynes;Lutz Tobiska

  • A Balanced Finite Element Method for Singularly Perturbed Reaction-Diffusion Problems

    Runchang Lin;Martin Stynes

  • A uniformly accurate finite-element method for a singularly perturbed one-dimensional reaction-diffusion

    Eugene O'Riordan;Martin Stynes

  • Corner singularities and boundary layers in a simple convection–diffusion problem☆

    R. Bruce Kellogg;Martin Stynes

  • A globally uniformly convergent finite element method for a singularly perturbed elliptic problem in two dimensions

    Eugene O’Riordan;Martin Stynes

Frequent Co-Authors

Eugene O'Riordan
Eugene O'Riordan Dublin City University
Lutz Tobiska
Lutz Tobiska Otto-von-Guericke University Magdeburg
R. Bruce Kellogg
R. Bruce Kellogg University of South Carolina
Kai Diethelm
Kai Diethelm Technische Universität Braunschweig
Endre Süli
Endre Süli University of Oxford

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