World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
57
Citations
20406
World Ranking
668
National Ranking
335

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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