Numerical Differentiation of Analytic Functions. - Bengt Fornberg (ACM Trans. Math. Softw., 1981)

Algorithm 579: CPSC: Complex Power Series Coefficients [D4]. - Bengt Fornberg (ACM Trans. Math. Softw., 1981)

A Pseudospectral Approach for Polar and Spherical Geometries. - Bengt Fornberg (SIAM J. Sci. Comput., 1995)

The Prospect for Parallel Computing in the Oil Industry. - Bengt Fornberg (PARA, 1996)

Classroom Note: Calculation of Weights in Finite Difference Formulas. - Bengt Fornberg (SIAM Rev., 1998)

Spatial Finite Difference Approximations for Wave-Type Equations. - Bengt Fornberg; Michelle Ghrist (SIAM J. Numer. Anal., 1999)

Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case. - Tobin A. Driscoll; Bengt Fornberg (SIAM J. Sci. Comput., 1999)

Staggered Time Integrators for Wave Equations. - Michelle Ghrist; Bengt Fornberg; Tobin A. Driscoll (SIAM J. Numer. Anal., 2000)

A Padé-based algorithm for overcoming the Gibbs phenomenon. - Tobin A. Driscoll; Bengt Fornberg (Numer. Algorithms, 2001)

On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. - Bengt Fornberg; Natasha Flyer (SIAM J. Appl. Math., 2004)

Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. - Bengt Fornberg; Natasha Flyer (Adv. Comput. Math., 2005)

A new class of oscillatory radial basis functions. - Bengt Fornberg; Elisabeth Larsson; Grady B. Wright (Comput. Math. Appl., 2006)

Scattered node compact finite difference-type formulas generated from radial basis functions. - Grady B. Wright; Bengt Fornberg (J. Comput. Phys., 2006)

A Pseudospectral Fictitious Point Method for High Order Initial-Boundary Value Problems. - Bengt Fornberg (SIAM J. Sci. Comput., 2006)

The Runge phenomenon and spatially variable shape parameters in RBF interpolation. - Bengt Fornberg; Julia Zuev (Comput. Math. Appl., 2007)

A Stable Algorithm for Flat Radial Basis Functions on a Sphere. - Bengt Fornberg; Cécile Piret (SIAM J. Sci. Comput., 2007)

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)

A finite difference method for free boundary problems. - Bengt Fornberg (J. Comput. Appl. Math., 2010)

Stabilization of RBF-generated finite difference methods for convective PDEs. - Bengt Fornberg; Erik Lehto (J. Comput. Phys., 2011)

A numerical methodology for the Painlevé equations. - Bengt Fornberg; J. A. C. Weideman (J. Comput. Phys., 2011)

Finite difference method. - Bengt Fornberg (Scholarpedia, 2011)

Stable Computations with Gaussian Radial Basis Functions. - Bengt Fornberg; Elisabeth Larsson; Natasha Flyer (SIAM J. Sci. Comput., 2011)

Two Results Concerning the Stability of Staggered Multistep Methods. - Michelle Ghrist; Bengt Fornberg (SIAM J. Numer. Anal., 2012)

Stable calculation of Gaussian-based RBF-FD stencils. - Bengt Fornberg; Erik Lehto; Collin Powell (Comput. Math. Appl., 2013)

Inverting Non-Linear Dimensionality Reduction with Scale-Free Radial Basis Interpolation - Nathan D. Monnig; Bengt Fornberg; François G. Meyer (CoRR, 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)

On spherical harmonics based numerical quadrature over the surface of a sphere. - Bengt Fornberg; Jordan M. Martel (Adv. Comput. Math., 2014)

A Computational Exploration of the Second Painlevé Equation. - Bengt Fornberg; J. A. C. Weideman (Found. Comput. Math., 2014)

A primer on radial basis functions with applications to the geosciences. - Bengt Fornberg; Natasha Flyer (SIAM, 2015)

Solving PDEs with radial basis functions. - Bengt Fornberg; Natasha Flyer (Acta Numer., 2015)

Fast generation of 2-D node distributions for mesh-free PDE discretizations. - Bengt Fornberg; Natasha Flyer (Comput. Math. Appl., 2015)

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)

Fast calculation of Laurent expansions for matrix inverses. - Bengt Fornberg (J. Comput. Phys., 2016)

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)

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)

Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces. - Bradley Martin; Bengt Fornberg (J. Comput. Phys., 2017)

Stable computations with flat radial basis functions using vector-valued rational approximations. - Grady B. Wright; Bengt Fornberg (J. Comput. Phys., 2017)

Fast high-dimensional node generation with variable density. - Oleksandr Vlasiuk; Timothy Michaels; Natasha Flyer; Bengt Fornberg (Comput. Math. Appl., 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)

Numerical quadrature over smooth surfaces with boundaries. - Jonah A. Reeger; Bengt Fornberg (J. Comput. Phys., 2018)

On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. - Victor Bayona; Natasha Flyer; Bengt Fornberg (J. Comput. Phys., 2019)

Explicit Time Stepping of PDEs with Local Refinement in Space-Time. - Dylan Abrahamsen; Bengt Fornberg (J. Sci. Comput., 2019)

An improved Gregory-like method for 1-D quadrature. - Bengt Fornberg; Jonah A. Reeger (Numerische Mathematik, 2019)

Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. - David Gunderman; Natasha Flyer; Bengt Fornberg (J. Comput. Phys., 2020)

Solving the Korteweg-de Vries equation with Hermite-based finite differences. - Dylan Abrahamsen; Bengt Fornberg (Appl. Math. Comput., 2021)

Generalizing the trapezoidal rule in the complex plane. - Bengt Fornberg (Numer. Algorithms, 2021)

A parallel-in-time approach for wave-type PDEs. - Abe C. Ellison; Bengt Fornberg (Numerische Mathematik, 2021)

On the Infinite Order Limit of Hermite-based Finite Difference Schemes. - Dylan Abrahamsen; Bengt Fornberg (SIAM J. Numer. Anal., 2021)

Improving the Accuracy of the Trapezoidal Rule. - Bengt Fornberg (SIAM Rev., 2021)

Fast Variable Density 3-D Node Generation. - Kiera van der Sande; Bengt Fornberg (SIAM J. Sci. Comput., 2021)

Finite difference formulas in the complex plane. - Bengt Fornberg (Numer. Algorithms, 2022)

Fully numerical Laplace transform methods. - J. A. C. Weideman; Bengt Fornberg (Numer. Algorithms, 2023)

Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning. - Kiera van der Sande; Natasha Flyer; Bengt Fornberg (J. Sci. Comput., 2023)

Computation of Fractional Derivatives of Analytic Functions. - Bengt Fornberg; Cécile Piret (J. Sci. Comput., 2023)

Enhanced trapezoidal rule for discontinuous functions. - Bengt Fornberg; Andrew P. Lawrence (J. Comput. Phys., 2023)

Node subsampling for multilevel meshfree elliptic PDE solvers. - Andrew P. Lawrence; Morten E. Nielsen; Bengt Fornberg (Comput. Math. Appl., 2024)

High-order numerical method for solving elliptic partial differential equations on unfitted node sets. - Morten E. Nielsen; Bengt Fornberg (Comput. Math. Appl., 2025)