Bengt Fornberg

According to our database, Bengt Fornberg authored at least 57 papers between 1981 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2024

High-order numerical method for solving elliptic partial differential equations on unfitted node sets.

Morten E. Nielsen, Bengt Fornberg

CoRR, 2024

Node subsampling for multilevel meshfree elliptic PDE solvers.

Andrew P. Lawrence, Morten E. Nielsen, Bengt Fornberg

Comput. Math. Appl., 2024

2023

Enhanced trapezoidal rule for discontinuous functions.

Bengt Fornberg, Andrew P. Lawrence

J. Comput. Phys., October, 2023

Computation of Fractional Derivatives of Analytic Functions.

Bengt Fornberg, Cécile Piret

J. Sci. Comput., September, 2023

Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning.

Kiera van der Sande, Natasha Flyer, Bengt Fornberg

J. Sci. Comput., July, 2023

Fully numerical Laplace transform methods.

J. A. C. Weideman, Bengt Fornberg

Numer. Algorithms, January, 2023

2022

Finite difference formulas in the complex plane.

Bengt Fornberg

Numer. Algorithms, 2022

2021

Fast Variable Density 3-D Node Generation.

Kiera van der Sande, Bengt Fornberg

SIAM J. Sci. Comput., 2021

Improving the Accuracy of the Trapezoidal Rule.

Bengt Fornberg

SIAM Rev., 2021

On the Infinite Order Limit of Hermite-based Finite Difference Schemes.

Dylan Abrahamsen, Bengt Fornberg

SIAM J. Numer. Anal., 2021

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

Abe C. Ellison, Bengt Fornberg

Numerische Mathematik, 2021

Generalizing the trapezoidal rule in the complex plane.

Bengt Fornberg

Numer. Algorithms, 2021

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

Dylan Abrahamsen, Bengt Fornberg

Appl. Math. Comput., 2021

2020

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

David Gunderman, Natasha Flyer, Bengt Fornberg

J. Comput. Phys., 2020

2019

An improved Gregory-like method for 1-D quadrature.

Bengt Fornberg, Jonah A. Reeger

Numerische Mathematik, 2019

Explicit Time Stepping of PDEs with Local Refinement in Space-Time.

Dylan Abrahamsen, Bengt Fornberg

J. Sci. Comput., 2019

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries.

Victor Bayona, Natasha Flyer, Bengt Fornberg

J. Comput. Phys., 2019

2018

Numerical quadrature over smooth surfaces with boundaries.

Jonah A. Reeger, Bengt Fornberg

J. Comput. Phys., 2018

On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains.

Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg

J. Comput. Phys., 2018

Fast high-dimensional node generation with variable density.

Oleksandr Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg

Comput. Math. Appl., 2018

2017

Stable computations with flat radial basis functions using vector-valued rational approximations.

Grady B. Wright, Bengt Fornberg

J. Comput. Phys., 2017

Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces.

Bradley Martin, Bengt Fornberg

J. Comput. Phys., 2017

Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces.

Marco Fasondini, Bengt Fornberg, J. A. C. Weideman

J. Comput. Phys., 2017

On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs.

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

J. Comput. Phys., 2017

2016

Fast calculation of Laurent expansions for matrix inverses.

Bengt Fornberg

J. Comput. Phys., 2016

On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy.

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

J. Comput. Phys., 2016

2015

Fast generation of 2-D node distributions for mesh-free PDE discretizations.

Bengt Fornberg, Natasha Flyer

Comput. Math. Appl., 2015

Solving PDEs with radial basis functions.

Bengt Fornberg, Natasha Flyer

Acta Numer., 2015

A primer on radial basis functions with applications to the geosciences.

Bengt Fornberg, Natasha Flyer

CBMS-NSF regional conference series in applied mathematics 87, SIAM, ISBN: 978-1-611-97402-7, 2015

2014

A Computational Exploration of the Second Painlevé Equation.

Bengt Fornberg, J. A. C. Weideman

Found. Comput. Math., 2014

On spherical harmonics based numerical quadrature over the surface of a sphere.

Bengt Fornberg, Jordan M. Martel

Adv. Comput. Math., 2014

2013

Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions.

Elisabeth Larsson, Erik Lehto, Alfa R. H. Heryudono, Bengt Fornberg

SIAM J. Sci. Comput., 2013

Inverting Non-Linear Dimensionality Reduction with Scale-Free Radial Basis Interpolation

Nathan D. Monnig, Bengt Fornberg, François G. Meyer

CoRR, 2013

Stable calculation of Gaussian-based RBF-FD stencils.

Bengt Fornberg, Erik Lehto, Collin Powell

Comput. Math. Appl., 2013

2012

Two Results Concerning the Stability of Staggered Multistep Methods.

Michelle Ghrist, Bengt Fornberg

SIAM J. Numer. Anal., 2012

2011

Stable Computations with Gaussian Radial Basis Functions.

Bengt Fornberg, Elisabeth Larsson, Natasha Flyer

SIAM J. Sci. Comput., 2011

Finite difference method.

Bengt Fornberg

Scholarpedia, 2011

A numerical methodology for the Painlevé equations.

Bengt Fornberg, J. A. C. Weideman

J. Comput. Phys., 2011

Stabilization of RBF-generated finite difference methods for convective PDEs.

Bengt Fornberg, Erik Lehto

J. Comput. Phys., 2011

2010

A finite difference method for free boundary problems.

Bengt Fornberg

J. Comput. Appl. Math., 2010

2008

On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere.

Bengt Fornberg, Cécile Piret

J. Comput. Phys., 2008

2007

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

Bengt Fornberg, Cécile Piret

SIAM J. Sci. Comput., 2007

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

Bengt Fornberg, Julia Zuev

Comput. Math. Appl., 2007

2006

A Pseudospectral Fictitious Point Method for High Order Initial-Boundary Value Problems.

Bengt Fornberg

SIAM J. Sci. Comput., 2006

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

Grady B. Wright, Bengt Fornberg

J. Comput. Phys., 2006

A new class of oscillatory radial basis functions.

Bengt Fornberg, Elisabeth Larsson, Grady B. Wright

Comput. Math. Appl., 2006

2005

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids.

Bengt Fornberg, Natasha Flyer

Adv. Comput. Math., 2005

2004

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations.

Bengt Fornberg, Natasha Flyer

SIAM J. Appl. Math., 2004

2001

A Padé-based algorithm for overcoming the Gibbs phenomenon.

Tobin A. Driscoll, Bengt Fornberg

Numer. Algorithms, 2001

2000

Staggered Time Integrators for Wave Equations.

Michelle Ghrist, Bengt Fornberg, Tobin A. Driscoll

SIAM J. Numer. Anal., 2000

1999

Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case.

Tobin A. Driscoll, Bengt Fornberg

SIAM J. Sci. Comput., 1999

Spatial Finite Difference Approximations for Wave-Type Equations.

Bengt Fornberg, Michelle Ghrist

SIAM J. Numer. Anal., 1999

1998

Classroom Note: Calculation of Weights in Finite Difference Formulas.

Bengt Fornberg

SIAM Rev., 1998

1996

The Prospect for Parallel Computing in the Oil Industry.

Bengt Fornberg

Proceedings of the Applied Parallel Computing, 1996

1995

A Pseudospectral Approach for Polar and Spherical Geometries.

Bengt Fornberg

SIAM J. Sci. Comput., 1995

1981

Algorithm 579: CPSC: Complex Power Series Coefficients [D4].

Bengt Fornberg

ACM Trans. Math. Softw., 1981

Numerical Differentiation of Analytic Functions.

Bengt Fornberg

ACM Trans. Math. Softw., 1981