World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
62
Citations
19395
World Ranking
465
National Ranking
241

Bengt Fornberg 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 Bengt Fornberg 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: 176 publications — 52nd percentile

52% of scientists in this discipline score the same or lower.

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

Bengt Fornberg 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 Bengt Fornberg 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: 62 D-Index — 87th percentile

87% 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

  • 2014 - SIAM Fellow For advances in spectral methods, radial basis functions, and other methods for computational fluid dynamics and partial differential equations.
  • 1981 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Bengt Fornberg is affiliated with the University of Colorado Boulder in the United States. Their research activity primarily spans the fields of mathematics and engineering, with a focus on numerical analysis, computational mechanics, and applied mathematics. Key subfields also include electrical and electronic engineering as well as computational theory and mathematics.

The main topics of Fornberg's scholarly work involve numerical methods for differential equations, advanced numerical methods in computational mathematics, and electromagnetic simulation and numerical methods. Other notable areas include mathematical functions and polynomials, iterative methods for nonlinear equations, fractional differential equations solutions, and numerical methods in engineering.

Frequent coauthors collaborating with Fornberg include Morten E. Nielsen, A. Lawrence, Natasha Flyer, Dylan Abrahamsen, and Cécile Piret.

Fornberg's publication record includes multiple papers, some of which are:

  • Improving the Accuracy of the Trapezoidal Rule, 2021, SIAM Review
  • An algorithm for calculating Hermite-based finite difference weights, 2020, IMA Journal of Numerical Analysis

Publications by frequent venue of dissemination comprise works in Numerical Algorithms, IMA Journal of Numerical Analysis, Journal of Computational Physics, Computers & Mathematics with Applications, and Journal of Scientific Computing.

  • Numerical Algorithms (3 publications)
  • IMA Journal of Numerical Analysis (3 publications)
  • Journal of Computational Physics (2 publications)
  • Computers & Mathematics with Applications (2 publications)
  • Journal of Scientific Computing (2 publications)

Recent papers from the broader scholarly network related to Fornberg's fields include:

  • Transport schemes in spherical geometries using spline-based RBF-FD with polynomials, 2020, Journal of Computational Physics
  • Solving the Korteweg-de Vries equation with Hermite-based finite differences, 2021, Applied Mathematics and Computation
  • Fully numerical Laplace transform methods, 2022, Numerical Algorithms

Awards received by Bengt Fornberg include recognition as a SIAM Fellow in 2014 for contributions to spectral methods, radial basis functions, and other computational methods used in fluid dynamics and partial differential equations. Additionally, they were named a Fellow of the John Simon Guggenheim Memorial Foundation in 1981.

Best Publications

  • A practical guide to pseudospectral methods

    Bengt Fornberg

  • Generation of finite difference formulas on arbitrarily spaced grids

    Bengt Fornberg

  • A Numerical and Theoretical Study of Certain Nonlinear Wave Phenomena

    B. Fornberg;Gerald Beresford Whitham

  • A numerical study of steady viscous flow past a circular cylinder

    Bengt Fornberg

  • The pseudospectral method: Comparisons with finite differences for the elastic wave equation

    Bengt Fornberg

  • Stable computation of multiquadric interpolants for all values of the shape parameter

    B. Fornberg;G. Wright

  • A numerical study of some radial basis function based solution methods for elliptic PDEs

    Elisabeth Larsson;Bengt Fornberg

  • Stable Computations with Gaussian Radial Basis Functions

    Bengt Fornberg;Elisabeth Larsson;Natasha Flyer

  • Classroom Note: Calculation of Weights in Finite Difference Formulas

    Bengt Fornberg

  • Interpolation in the limit of increasingly flat radial basis functions

    T.A. Driscoll;B. Fornberg

  • The Runge phenomenon and spatially variable shape parameters in RBF interpolation

    Bengt Fornberg;Julia Zuev

  • Scattered node compact finite difference-type formulas generated from radial basis functions

    Grady B. Wright;Bengt Fornberg

  • On the role of polynomials in RBF-FD approximations

    Natasha Flyer;Bengt Fornberg;Victor Bayona;Gregory A. Barnett

  • On the chance of freak waves at sea

    Benjamin S. White;Bengt Fornberg

  • The pseudospectral method: Accurate representation of interfaces in elastic wave calculations

    Bengt Fornberg

  • A Primer on Radial Basis Functions with Applications to the Geosciences

    Bengt Fornberg;Natasha Flyer

  • A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations

    Ming Li;Tao Tang;Bengt Fornberg

  • A Stable Algorithm for Flat Radial Basis Functions on a Sphere

    Bengt Fornberg;Cécile Piret

  • Solving PDEs with radial basis functions

    Bengt Fornberg;Natasha Flyer

  • Steady Viscous Flow Past a Circular Cylinder up to Reynolds Number 600

    Bengt Fornberg

  • A practical guide to pseudospectral methods: Introduction to spectral methods via orthogonal functions

    Bengt Fornberg

  • A practical guide to pseudospectral methods: PS variations and enhancements

    Bengt Fornberg

Frequent Co-Authors

Tobin A. Driscoll
Tobin A. Driscoll University of Delaware
Ivan I. Smalyukh
Ivan I. Smalyukh University of Colorado Boulder
Michele Benzi
Michele Benzi Scuola Normale Superiore di Pisa
Andreas Acrivos
Andreas Acrivos City University of New York
Raymond H. Chan
Raymond H. Chan Lingnan University
Jan S. Hesthaven
Jan S. Hesthaven Karlsruhe Institute of Technology
Martin Hanke
Martin Hanke Johannes Gutenberg University of Mainz
Kenneth H. Karlsen
Kenneth H. Karlsen University of Oslo
Michael A. Saunders
Michael A. Saunders Stanford University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students studying Mathematics in the USA, exploring related online degrees can open diverse career pathways. Many professionals combine mathematical skills with business knowledge, making programs like one year MBA programs an attractive option. These accelerated programs allow graduates to quickly gain leadership and management expertise alongside their analytical foundation.

Another important factor to consider is educational flexibility. Students transferring credits from prior studies can benefit from mba transfer credits policies, which help streamline the path to earning a degree without losing valuable coursework.

Given the growing demand for data-driven decision-making, pursuing a masters data analytics degree complements a mathematical background well. This equips graduates with practical skills in interpreting complex datasets, enhancing their career opportunities in technology, finance, and healthcare.

For those balancing work or other commitments, identifying easy mba programs to get into can make graduate education more accessible. These programs often focus on practical knowledge and flexible study options while maintaining academic quality.

Best Scientists Citing Bengt Fornberg

Trending Scientists

Recently Published Articles