World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
33
Citations
4146
World Ranking
3058
National Ranking
1227

Arnd Scheel 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 Arnd Scheel 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: 156 publications — 41st percentile

41% of scientists in this discipline score the same or lower.

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

Arnd Scheel 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 Arnd Scheel 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: 33 D-Index — 17th percentile

17% of scientists in this discipline score the same or lower.

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

Overview

Arnd Scheel is affiliated with the University of Minnesota in the United States. Their research spans multiple disciplines with a strong focus on nonlinear dynamics, pattern formation, and mathematical physics, reflecting an interdisciplinary approach that bridges physics and computer science.

The primary fields of study for Scheel include:

  • Physics and Astronomy
  • Computer Science

Within these fields, Scheel specializes in several subfields, such as:

  • Statistical and Nonlinear Physics
  • Computer Networks and Communications
  • Public Health, Environmental and Occupational Health
  • Mathematical Physics
  • Materials Chemistry

The core topics of Scheel's work cover a range of theoretical and applied subjects, notably:

  • Nonlinear Dynamics and Pattern Formation
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Quantum chaos and dynamical systems
  • Theoretical and Computational Physics
  • Solidification and crystal growth phenomena
  • Stochastic dynamics and bifurcation
  • Stability and Controllability of Differential Equations

Recent scholarly works by Scheel include:

  • Universal selection of pulled fronts, 2022, Communications of the American Mathematical Society
  • Spiral Waves: Linear and Nonlinear Theory, 2023, Memoirs of the American Mathematical Society
  • Pushed-to-Pulled Front Transitions: Continuation, Speed Scalings, and Hidden Monotonicty, 2023, Journal of Nonlinear Science
  • Slow passage through the Busse balloon - predicting steps on the Eckhaus staircase, 2024, European Journal of Applied Mathematics
  • Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations, 2023, SIAM Journal on Applied Dynamical Systems

Key frequent co-authors collaborating with Scheel are:

  • Montie Avery
  • Matt Holzer
  • Ryan Goh
  • Anthony Cortez
  • Tasso J. Kaper

Scheel's publications are primarily disseminated through several scholarly venues, with a notable presence in:

  • arXiv (Cornell University)
  • Nonlinearity
  • SIAM Journal on Applied Dynamical Systems
  • Journal of Dynamics and Differential Equations
  • Communications of the American Mathematical Society

Best Publications

  • Absolute and convective instabilities of waves on unbounded and large bounded domains

    Björn Sandstede;Arnd Scheel

  • The Dynamics of Modulated Wave Trains

    Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

  • Computing absolute and essential spectra using continuation

    Jens D.M. Rademacher;Björn Sandstede;Arnd Scheel

  • Defects in oscillatory media: Toward a classification

    Björn Sandstede;Arnd Scheel

  • Exponential Dichotomies for Solitary-Wave Solutions of Semilinear Elliptic Equations on Infinite Cylinders

    Daniela Peterhof;Björn Sandstede;Arnd Scheel

  • Dynamics of Spiral Waves on Unbounded Domains Using Center-Manifold Reductions

    Björn Sandstede;Arnd Scheel;Claudia Wulff

  • Spatio-Temporal Dynamics of Reaction-Diffusion Patterns

    Bernold Fiedler;Arnd Scheel

  • Bifurcations and Dynamics of Spiral Waves

    B. Sandstede;Arnd Scheel;C. Wulff

  • On the structure of spectra of modulated travelling waves

    Björn Sandstede;Arnd Scheel

  • On the Stability of Periodic Travelling Waves with Large Spatial Period

    Björn Sandstede;Arnd Scheel

  • Absolute versus convective instability of spiral waves

    Björn Sandstede;Arnd Scheel

  • Corner defects in almost planar interface propagation

    Mariana Haragus;Arnd Scheel

  • Exponential dichotomies for linear non-autonomous functional differential equations of mixed type

    Jörg Härterich;Björn Sandstede;Arnd Scheel

  • Evans function and blow-up methods in critical eigenvalue problems

    Björn Sandstede;Arnd Scheel

  • Gluing unstable fronts and backs together can produce stable pulses

    Björn Sandstede;Arnd Scheel

  • Bifurcation to spiral waves in reaction-diffusion systems

    Arnd Scheel

  • Propagation of hexagonal patterns near onset

    Arjen Doelman;Björn Sandstede;Arnd Scheel;Guido Schneider

  • Essential instability of pulses and bifurcations to modulated travelling waves

    B. Sandstede;A. Scheel

  • Essential instabilities of fronts: bifurcation, and bifurcation failure

    Bjorn Sandstede;Arnd Scheel

  • Relative Morse indices, Fredholm indices, and group velocities

    Björn Sandstede;Arnd Scheel

Frequent Co-Authors

Björn Sandstede
Björn Sandstede Brown University
Guido Schneider
Guido Schneider University of Stuttgart
Eli Ben-Naim
Eli Ben-Naim Los Alamos National Laboratory
Arjen Doelman
Arjen Doelman Leiden University
Kevin Zumbrun
Kevin Zumbrun Indiana University
Bernold Fiedler
Bernold Fiedler Freie Universität Berlin
Dmitry E. Pelinovsky
Dmitry E. Pelinovsky McMaster University
Ian Melbourne
Ian Melbourne University of Warwick

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