World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
20406
World Ranking
668
National Ranking
336

John P. Boyd 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 John P. Boyd 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: 272 publications — 81st percentile

81% of scientists in this discipline score the same or lower.

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

John P. Boyd 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 John P. Boyd 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: 57 D-Index — 82nd percentile

82% 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

  • 2020 - SIAM Fellow For contributions to geophysical fluid dynamics, Chebyshev polynomial and Fourier spectral methods, and nonlinear waves.

Overview

John P. Boyd is affiliated with the University of Michigan-Ann Arbor in the United States. Their research spans multiple fields, notably Mathematics and Physics and Astronomy, with a significant focus on numerical methods and atmospheric phenomena.

The scientist has contributed to a range of topics, including:

  • Numerical methods for differential equations
  • Planetary Science and Exploration
  • Astro and Planetary Science
  • Differential Equations and Numerical Methods
  • Mathematical functions and polynomials
  • Geology and Paleoclimatology Research
  • Fluid Dynamics and Vibration Analysis

Subfields of their work include:

  • Astronomy and Astrophysics
  • Numerical Analysis
  • Applied Mathematics
  • Atmospheric Science
  • Control and Systems Engineering

John P. Boyd has published in several venues, with frequent appearances in:

  • arXiv (Cornell University)
  • Geophysical Research Letters
  • Science China Mathematics
  • Journal of Computational and Applied Mathematics
  • Physica D Nonlinear Phenomena

Recent papers authored or coauthored by Boyd include:

  • "A Long-Lived Sharp Disruption on the Lower Clouds of Venus", 2020, Geophysical Research Letters
  • "Asymptotic coefficients and errors for Chebyshev polynomial approximations with weak endpoint singularities: Effects of different bases", 2022, Science China Mathematics
  • "Exact solutions to a nonlinear partial differential equation: The Product-of-Curvatures Poisson equation", 2021, Journal of Computational and Applied Mathematics
  • "The heterogeneous helicoseir", 2023, Physica D Nonlinear Phenomena
  • "Asymptotic Coefficients and Errors for Chebyshev Polynomial Approximations with Weak Endpoint Singularities: Effects of Different Bases", 2021, arXiv (Cornell University)

Frequent coauthors of Boyd include:

  • Xiaolong Zhang
  • Javier Peralta
  • T. Navarro
  • Choon Wei Vun
  • A. Sánchez-Lavega

In 2020, John P. Boyd was named a SIAM Fellow for contributions to geophysical fluid dynamics, Chebyshev polynomial and Fourier spectral methods, and nonlinear waves.

Best Publications

  • Chebyshev and Fourier Spectral Methods

    John P Boyd

  • Chebyshev & Fourier Spectral Methods

    John Philip Boyd

  • The Noninteraction of Waves with the Zonally Averaged Flow on a Spherical Earth and the Interrelationships on Eddy Fluxes of Energy, Heat and Momentum

    John P. Boyd

  • Spectral methods using rational basis functions on an infinite interval

    John P. Boyd

  • The Devil's Invention: Asymptotic, Superasymptotic and Hyperasymptotic Series

    John P. Boyd

  • Orthogonal rational functions on a semi-infinite interval

    John P. Boyd

  • The Optimization of Convergence for Chebyshev Polynomial Methods in an Unbounded Domain

    John P Boyd

  • Equatorial Solitary Waves. Part I: Rossby Solitons

    John P. Boyd

  • Pade´ approximant algorithm for solving nonlinear ordinary differential equation boundary value problems on an unbounded domain

    John P. Boyd

  • Weakly non-local solutions for capillary-gravity waves: fifth-degree Korteweg-de Vries equation

    John P. Boyd

  • Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics

    John P. Boyd

  • Weakly Nonlocal Solitary Waves and Beyond-All-Orders Asymptotics: Generalized Solitons and Hyperasymptotic Perturbation Theory

    John P. Boyd

  • A staggered spectral element model with application to the oceanic shallow water equations

    Mohamed Iskandarani;Dale B. Haidvogel;John P. Boyd

  • A Comparison of Numerical Algorithms for Fourier Extension of the First, Second, and Third Kinds

    John P. Boyd

  • Chebyshev polynomial expansions for simultaneous approximation of two branches of a function with application to the one-dimensional Bratu equation

    John P Boyd

  • Pseudospectral methods on a semi-infinite interval with application to the Hydrogen atom: a comparison of the mapped Fourier-sine method with Laguerre series and rational Chebyshev expansions

    John P. Boyd;C. Rangan;P. H. Bucksbaum

  • The Effects of Latitudinal Shear on Equatorial Waves. Past I: Theory and Methods

    John P. Boyd

  • Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock-Chebyshev subset interpolation

    John P. Boyd;Fei Xu

  • An analytical and numerical study of the two-dimensional Bratu equation

    John P Boyd

  • Asymptotic coefficients of hermite function series

    John P Boyd

Frequent Co-Authors

Joseph Tribbia
Joseph Tribbia National Center for Atmospheric Research
Brett F. Sanders
Brett F. Sanders University of California, Irvine
Philip H. Bucksbaum
Philip H. Bucksbaum SLAC National Accelerator Laboratory
Shian-Jiann Lin
Shian-Jiann Lin Geophysical Fluid Dynamics Laboratory
Sanjay S. Limaye
Sanjay S. Limaye University of Wisconsin–Madison
Ricardo Hueso
Ricardo Hueso University of the Basque Country
Joyce E. Penner
Joyce E. Penner University of Michigan–Ann Arbor
Agustín Sánchez-Lavega
Agustín Sánchez-Lavega University of the Basque Country
Gerald Schubert
Gerald Schubert University of California, Los Angeles
Takeshi Imamura
Takeshi Imamura University of Tokyo

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