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D-Index & Metrics

Mathematics

D-Index
30
Citations
3396
World Ranking
3548
National Ranking
1368

Todd Kapitula 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 Todd Kapitula 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: 68 publications — 2nd percentile

2% of scientists in this discipline score the same or lower.

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

Todd Kapitula 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 Todd Kapitula 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Todd Kapitula is affiliated with Calvin University in the United States. Their research spans multiple interdisciplinary fields, including Social Sciences, Physics and Astronomy, and Computer Science. These areas reflect a broad approach to studying complex systems and social phenomena.

The scientist's work focuses notably on topics such as:

  • Language and cultural evolution
  • Opinion Dynamics and Social Influence
  • Authorship Attribution and Profiling
  • Cellular Automata and Applications

Kapitula's research has been published in multiple venues, with frequent contributions to:

  • Studies in Applied Mathematics
  • arXiv (Cornell University)

Among their recent publications are:

  • "Language competition on lattices" (2021), published in Studies in Applied Mathematics
  • "Dynamics of two languages competing on a network: a case study" (2021), published on arXiv (Cornell University)

Collaborations have involved frequent co-authorship with P. G. Kevrekidis, indicating a working partnership across at least two papers.

The subfields within which Kapitula operates include:

  • Cultural Studies
  • Statistical and Nonlinear Physics
  • Artificial Intelligence
  • Computational Theory and Mathematics

The scientist's body of work engages with mathematical and computational models to analyze social and linguistic phenomena, intersecting with artificial intelligence and nonlinear physics methodologies.

Best Publications

  • Spectral and Dynamical Stability of Nonlinear Waves

    Todd Kapitula;Keith Promislow

  • Stability of bright solitary-wave solutions to perturbed nonlinear Schrödinger equations

    Todd Kapitula;Björn Sandstede

  • Counting eigenvalues via the Krein signature in infinite-dimensional Hamiltonian systems

    Todd Kapitula;Panayotis G. Kevrekidis;Björn Sandstede

  • On the spectra of periodic waves for infinite-dimensional Hamiltonian systems

    Mariana Haˇraˇguş;Todd Kapitula

  • Stability of travelling waves for non-convex scalar viscous conservation laws

    Christopher K. R. T. Jones;Robert Gardner;Todd Kapitula

  • Multidimensional stability of planar travelling waves

    Todd Kapitula;Todd Kapitula

  • On the Stability of Traveling Waves in Weighted L∞ Spaces

    T. Kapitula

  • The Evans function for nonlocal equations

    Todd Kapitula;Nathan Kutz;Björn Sandstede

  • Stability of waves in discrete systems

    Todd Kapitula;Panayotis Kevrekidis

  • The Evans function and generalized Melnikov integrals

    Todd Kapitula

  • Stability of pulses in the master mode-locking equation

    Todd Kapitula;J. Nathan Kutz;Björn Sandstede

  • On the stability of N-solitons in integrable systems

    Todd Kapitula

  • Stability of multiple pulses in discrete systems.

    Kapitula T;Kevrekidis Pg;Malomed Ba

  • An index theorem for the stability of periodic travelling waves of Korteweg–de Vries type

    Jared C. Bronski;Mathew A. Johnson;Todd Kapitula

  • EDGE BIFURCATIONS FOR NEAR INTEGRABLE SYSTEMS VIA EVANS FUNCTION TECHNIQUES

    Todd Kapitula;Björn Sandstede

  • Instability mechanism for bright solitary-wave solutions to the cubic–quintic Ginzburg–Landau equation

    Todd Kapitula;Björn Sandstede

  • Three Is a Crowd: Solitary Waves in Photorefractive Media with Three Potential Wells

    Todd Kapitula;Panayotis G. Kevrekidis;Zhigang Chen

  • Stability criterion for bright solitary waves of the perturbed cubic-quintic Schro¨dinger equation

    Todd Kapitula

  • Eigenvalues and resonances using the Evans function

    Todd Kapitula;Björn Sandstede

  • The orbital stability of the cnoidal waves of the Korteweg-de Vries equation

    Bernard Deconinck;Todd Kapitula

  • Stability indices for constrained self-adjoint operators

    Todd Kapitula;Keith Promislow

Frequent Co-Authors

Panayotis G. Kevrekidis
Panayotis G. Kevrekidis University of Massachusetts Amherst
Björn Sandstede
Björn Sandstede Brown University
Christopher K. R. T. Jones
Christopher K. R. T. Jones University of North Carolina at Chapel Hill
Jonathan E. Rubin
Jonathan E. Rubin University of Pittsburgh
Zhigang Chen
Zhigang Chen Nankai University
Boris A. Malomed
Boris A. Malomed Tel Aviv University
Ricardo Carretero-González
Ricardo Carretero-González San Diego State University
J. Nathan Kutz
J. Nathan Kutz University of Washington
Dimitri J. Frantzeskakis
Dimitri J. Frantzeskakis National and Kapodistrian University of Athens

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