World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
6602
World Ranking
2611
National Ranking
1077

Robert L. Pego 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 Robert L. Pego 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: 118 publications — 20th percentile

20% of scientists in this discipline score the same or lower.

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

Robert L. Pego 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 Robert L. Pego 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: 36 D-Index — 29th percentile

29% 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

  • 2016 - Fellow of the American Mathematical Society For contributions to partial differential equations and applied mathematics.
  • 2009 - SIAM Fellow For advances in the analysis of nonlinear problems.

Overview

Robert L. Pego is affiliated with Carnegie Mellon University in the United States. Their research spans multiple areas primarily within mathematics and physics, reflecting an interdisciplinary approach to complex scientific problems.

The main fields of study for Robert L. Pego include:

  • Mathematics
  • Physics and Astronomy

Within these broader domains, their work further concentrates on several subfields:

  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Condensed Matter Physics
  • Computational Theory and Mathematics

The topics they frequently explore in their research encompass:

  • Nonlinear Photonic Systems
  • Nonlinear Waves and Solitons
  • Advanced Mathematical Physics Problems
  • Theoretical and Computational Physics
  • Stochastic processes and statistical mechanics
  • Mathematical Dynamics and Fractals
  • Advanced Mathematical Modeling in Engineering

Recent publications authored or coauthored by Robert L. Pego include:

  • "Temporal oscillations in Becker-Döring equations with atomization" (2020), published in Nonlinearity
  • "On Long Waves and Solitons in Particle Lattices with Forces of Infinite Range" (2024), published in SIAM Journal on Applied Mathematics
  • "Global Weak Solutions of a Hamiltonian Regularised Burgers Equation" (2022), published in Journal of Dynamics and Differential Equations
  • "Oscillations in a Becker--Döring Model with Injection and Depletion" (2022), published in SIAM Journal on Applied Mathematics
  • "Two-Dimensional Grain Boundary Networks: Stochastic Particle Models and Kinetic Limits" (2020), published in Archive for Rational Mechanics and Analysis

Frequent coauthors working alongside Robert L. Pego include:

  • Benjamin Ingimarson
  • Jian-Guo Liu
  • Juan J. L. Velázquez
  • Gautam Iyer
  • Barbara Niethammer

Their scholarly work has appeared regularly in these venues:

  • arXiv (Cornell University)
  • Nonlinearity
  • SIAM Journal on Applied Mathematics
  • Journal of Dynamics and Differential Equations
  • Archive for Rational Mechanics and Analysis

Recognition for Robert L. Pego's contributions includes:

  • Fellow of the American Mathematical Society (2016), awarded for contributions to partial differential equations and applied mathematics
  • SIAM Fellow (2009), awarded for advances in the analysis of nonlinear problems

Best Publications

  • Front migration in the nonlinear Cahn-Hilliard equation

    Robert L. Pego

  • Eigenvalues, and Instabilities of Solitary Waves

    Robert L. Pego;Michael I. Weinstein

  • Metastable patterns in solutions of ut = ϵ2uxx − f(u)

    J. Carr;R. L. Pego

  • Asymptotic stability of solitary waves

    Robert L. Pego;Michael I. Weinstein

  • Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

    G Friesecke;R L Pego

  • Stable viscosity matrices for systems of conservation laws

    Andrew Majda;Robert L Pego

  • Phase transitions in one-dimensional nonlinear viscoelasticity: admissibility and stability

    Robert L. Pego

  • Stable patterns in a viscous diffusion equation

    A. Novick-Cohen;R. L. Pego

  • Approach to self-similarity in Smoluchowski's coagulation equations

    Govind Menon;Robert L. Pego

  • On the dynamics of fine structure

    J. M. Ball;P. J. Holmes;Richard D James;R. L. Pego

  • Oscillatory instability of traveling waves for a KdV-Burgers equation

    Robert L. Pego;Peter Smereka;Michael I. Weinstein

  • Solitary waves on FPU lattices: II. Linear implies nonlinear stability

    G Friesecke;R L Pego

  • Spectrally Stable Encapsulated Vortices for Nonlinear Schrödinger Equations

    Robert L. Pego;Henry A. Warchall

  • On the transverse instability of solitary waves in the Kadomtsev-Petviashvili equation

    J.C. Alexander;R.L. Pego;R.L. Sachs

  • Solitary waves on Fermi Pasta Ulam lattices: III. Howland-type Floquet theory

    G Friesecke;R L Pego

  • Invariant manifolds for metastable patterns in ut = ε2uxx—f(u)

    Jack Carr;Robert Pego

  • Solitary waves on Fermi-Pasta-Ulam lattices: IV. Proof of stability at low energy

    G Friesecke;R L Pego

  • Non-Self-Similar Behavior in the LSW Theory of Ostwald Ripening

    Barbara Niethammer;Robert L. Pego

  • Two-dimensional solitary waves for a Benny-Luke equation

    Robert L. Pego;José Raúl Quintero

  • Stable and accurate pressure approximation for unsteady incompressible viscous flow

    Jian-Guo Liu;Jie Liu;Robert L. Pego

  • On asymptotic stability of solitary waves

    Robert L. Pego;Michael I. Weinstein

Frequent Co-Authors

Jianguo Liu
Jianguo Liu Michigan State University
Michael I. Weinstein
Michael I. Weinstein Columbia University
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Juan J. L. Velázquez
Juan J. L. Velázquez University of Bonn
John H. Maddocks
John H. Maddocks École Polytechnique Fédérale de Lausanne
James G. McNally
James G. McNally National Institutes of Health
Guido Schneider
Guido Schneider University of Stuttgart
C. David Levermore
C. David Levermore University of Maryland, College Park
Richard D. James
Richard D. James University of Minnesota
Ellen D. Williams
Ellen D. Williams University of Maryland, College Park

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