World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
62
Citations
19395
World Ranking
465
National Ranking
240

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

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