Bengt Fornberg

Bengt Fornberg

University of Colorado Boulder

H-index: 58

North America-United States

About Bengt Fornberg

Bengt Fornberg, With an exceptional h-index of 58 and a recent h-index of 37 (since 2020), a distinguished researcher at University of Colorado Boulder, specializes in the field of Numerical methods, Applied mathematics, Radial basis functions, Meshfree methods.

His recent articles reflect a diverse array of research interests and contributions to the field:

Node subsampling for multilevel meshfree elliptic PDE solvers

Analytic continuation: A tool for aeromagnetic data interpretation

Accelerating explicit time-stepping with spatially variable time steps through machine learning

Fully numerical Laplace transform methods

Enhanced trapezoidal rule for discontinuous functions

Computation of fractional derivatives of analytic functions

Infinite-order accuracy limit of finite difference formulas in the complex plane

Finite difference formulas in the complex plane

Bengt Fornberg Information

University

Position

Professor of Applied Mathematics

Citations(all)

18673

Citations(since 2020)

5629

Cited By

15508

hIndex(all)

58

hIndex(since 2020)

37

i10Index(all)

115

i10Index(since 2020)

74

Email

University Profile Page

Google Scholar

Bengt Fornberg Skills & Research Interests

Numerical methods

Applied mathematics

Radial basis functions

Meshfree methods

Top articles of Bengt Fornberg

Title

Journal

Author(s)

Publication Date

Node subsampling for multilevel meshfree elliptic PDE solvers

Computers & Mathematics with Applications

Andrew P Lawrence

Morten E Nielsen

Bengt Fornberg

2024/6/15

Analytic continuation: A tool for aeromagnetic data interpretation

The Leading Edge

Jeffrey B Thurston

Bengt Fornberg

2024/4

Accelerating explicit time-stepping with spatially variable time steps through machine learning

Journal of Scientific Computing

Kiera van der Sande

Natasha Flyer

Bengt Fornberg

2023/7

Fully numerical Laplace transform methods

Numerical Algorithms

JAC Weideman

Bengt Fornberg

2023/1

Enhanced trapezoidal rule for discontinuous functions

Journal of Computational Physics

Bengt Fornberg

Andrew Lawrence

2023/10/15

Computation of fractional derivatives of analytic functions

Journal of Scientific Computing

Bengt Fornberg

Cécile Piret

2023/9

Infinite-order accuracy limit of finite difference formulas in the complex plane

IMA Journal of Numerical Analysis

Bengt Fornberg

2023/9

Finite difference formulas in the complex plane

Numerical Algorithms

Bengt Fornberg

2022/7

Contour integrals of analytic functions given on a grid in the complex plane

IMA Journal of Numerical Analysis

Bengt Fornberg

2021/4

An algorithm for calculating Hermite-based finite difference weights

IMA Journal of Numerical Analysis

Bengt Fornberg

2021/4

On the infinite order limit of Hermite-based finite difference schemes

SIAM Journal on Numerical Analysis

Dylan Abrahamsen

Bengt Fornberg

2021

Solving the Korteweg-de Vries equation with Hermite-based finite differences

Applied Mathematics and Computation

Dylan Abrahamsen

Bengt Fornberg

2021/7/15

Improving the accuracy of the trapezoidal rule

SIAM Review

Bengt Fornberg

2021

Generalizing the trapezoidal rule in the complex plane

Numerical Algorithms

Bengt Fornberg

2021/5

Fast variable density 3-D node generation

SIAM Journal on Scientific Computing

Kiera van der Sande

Bengt Fornberg

2021

A parallel-in-time approach for wave-type PDEs

Numerische Mathematik

Abe C Ellison

Bengt Fornberg

2021/5

Euler–Maclaurin expansions without analytic derivatives

Proceedings of the Royal Society A

Bengt Fornberg

2020/9/30

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials

Journal of Computational Physics

David Gunderman

Natasha Flyer

Bengt Fornberg

2020/5/1

The radial basis functions method for improved numerical approximations of geological processes in heterogeneous systems

Mathematical Geosciences

Cecile Piret

Nadun Dissanayake

John S Gierke

Bengt Fornberg

2020/5

See List of Professors in Bengt Fornberg University(University of Colorado Boulder)