Bengt Fornberg

61 papers Journal 59Unranked 1

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	High-order numerical method for solving elliptic partial differential equations on unfitted node sets. Comput. Math. Appl. Morten E. Nielsen, Bengt Fornberg
2024	J	`jnl`	High-order numerical method for solving elliptic partial differential equations on unfitted node sets. CoRR Morten E. Nielsen, Bengt Fornberg
2024	J	`jnl`	Node subsampling for multilevel meshfree elliptic PDE solvers. Comput. Math. Appl. Andrew P. Lawrence, Morten E. Nielsen, Bengt Fornberg
2023	J	`jnl`	Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning. J. Sci. Comput. Kiera van der Sande, Natasha Flyer, Bengt Fornberg
2023	J	`jnl`	Computation of Fractional Derivatives of Analytic Functions. J. Sci. Comput. Bengt Fornberg, Cécile Piret
2023	J	`jnl`	Enhanced trapezoidal rule for discontinuous functions. J. Comput. Phys. Bengt Fornberg, Andrew P. Lawrence
2023	J	`jnl`	Fully numerical Laplace transform methods. Numer. Algorithms J. A. C. Weideman, Bengt Fornberg
2023	J	`jnl`	Node Subsampling for Multilevel Meshfree Elliptic PDE Solvers. CoRR Andrew P. Lawrence, Morten E. Nielsen, Bengt Fornberg
2022	J	`jnl`	Finite difference formulas in the complex plane. Numer. Algorithms Bengt Fornberg
2021	J	`jnl`	A parallel-in-time approach for wave-type PDEs. Numerische Mathematik Abe C. Ellison, Bengt Fornberg
2021	J	`jnl`	Fast Variable Density 3-D Node Generation. SIAM J. Sci. Comput. Kiera van der Sande, Bengt Fornberg
2021	J	`jnl`	Generalizing the trapezoidal rule in the complex plane. Numer. Algorithms Bengt Fornberg
2021	J	`jnl`	Improving the Accuracy of the Trapezoidal Rule. SIAM Rev. Bengt Fornberg
2021	J	`jnl`	On the Infinite Order Limit of Hermite-based Finite Difference Schemes. SIAM J. Numer. Anal. Dylan Abrahamsen, Bengt Fornberg
2021	J	`jnl`	Solving the Korteweg-de Vries equation with Hermite-based finite differences. Appl. Math. Comput. Dylan Abrahamsen, Bengt Fornberg
2020	J	`jnl`	Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. J. Comput. Phys. David Gunderman, Natasha Flyer, Bengt Fornberg
2019	J	`jnl`	A parallel-in-time approach for wave-type PDEs. CoRR Abe C. Ellison, Bengt Fornberg
2019	J	`jnl`	An improved Gregory-like method for 1-D quadrature. Numerische Mathematik Bengt Fornberg, Jonah A. Reeger
2019	J	`jnl`	Explicit Time Stepping of PDEs with Local Refinement in Space-Time. J. Sci. Comput. Dylan Abrahamsen, Bengt Fornberg
2019	J	`jnl`	Fast variable density 3-D node generation. CoRR Kiera van der Sande, Bengt Fornberg
2019	J	`jnl`	On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. J. Comput. Phys. Victor Bayona, Natasha Flyer, Bengt Fornberg
2018	J	`jnl`	Fast high-dimensional node generation with variable density. Comput. Math. Appl. Oleksandr Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg
2018	J	`jnl`	Numerical quadrature over smooth surfaces with boundaries. J. Comput. Phys. Jonah A. Reeger, Bengt Fornberg
2018	J	`jnl`	On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. J. Comput. Phys. Matthew J. Colbrook, Natasha Flyer, Bengt Fornberg
2017	J	`jnl`	Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. J. Comput. Phys. Marco Fasondini, Bengt Fornberg, J. A. C. Weideman
2017	J	`jnl`	On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. J. Comput. Phys. Victor Bayona, Natasha Flyer, Bengt Fornberg, Gregory A. Barnett
2017	J	`jnl`	Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces. J. Comput. Phys. Bradley Martin, Bengt Fornberg
2017	J	`jnl`	Stable computations with flat radial basis functions using vector-valued rational approximations. J. Comput. Phys. Grady B. Wright, Bengt Fornberg
2016	J	`jnl`	Fast calculation of Laurent expansions for matrix inverses. J. Comput. Phys. Bengt Fornberg
2016	J	`jnl`	On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy. J. Comput. Phys. Natasha Flyer, Bengt Fornberg, Victor Bayona, Gregory A. Barnett
2015	—	`book`	A primer on radial basis functions with applications to the geosciences. Bengt Fornberg, Natasha Flyer
2015	J	`jnl`	Fast generation of 2-D node distributions for mesh-free PDE discretizations. Comput. Math. Appl. Bengt Fornberg, Natasha Flyer
2015	J	`jnl`	Solving PDEs with radial basis functions. Acta Numer. Bengt Fornberg, Natasha Flyer
2014	J	`jnl`	A Computational Exploration of the Second Painlevé Equation. Found. Comput. Math. Bengt Fornberg, J. A. C. Weideman
2014	J	`jnl`	On spherical harmonics based numerical quadrature over the surface of a sphere. Adv. Comput. Math. Bengt Fornberg, Jordan M. Martel
2013	J	`jnl`	Inverting Non-Linear Dimensionality Reduction with Scale-Free Radial Basis Interpolation CoRR Nathan D. Monnig, Bengt Fornberg, François G. Meyer
2013	J	`jnl`	Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions. SIAM J. Sci. Comput. Elisabeth Larsson, Erik Lehto, Alfa R. H. Heryudono, Bengt Fornberg
2013	J	`jnl`	Stable calculation of Gaussian-based RBF-FD stencils. Comput. Math. Appl. Bengt Fornberg, Erik Lehto, Collin Powell
2012	J	`jnl`	Two Results Concerning the Stability of Staggered Multistep Methods. SIAM J. Numer. Anal. Michelle Ghrist, Bengt Fornberg
2011	J	`jnl`	A numerical methodology for the Painlevé equations. J. Comput. Phys. Bengt Fornberg, J. A. C. Weideman
2011	J	`jnl`	Finite difference method. Scholarpedia Bengt Fornberg
2011	J	`jnl`	Stabilization of RBF-generated finite difference methods for convective PDEs. J. Comput. Phys. Bengt Fornberg, Erik Lehto
2011	J	`jnl`	Stable Computations with Gaussian Radial Basis Functions. SIAM J. Sci. Comput. Bengt Fornberg, Elisabeth Larsson, Natasha Flyer
2010	J	`jnl`	A finite difference method for free boundary problems. J. Comput. Appl. Math. Bengt Fornberg
2008	J	`jnl`	On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. J. Comput. Phys. Bengt Fornberg, Cécile Piret
2007	J	`jnl`	A Stable Algorithm for Flat Radial Basis Functions on a Sphere. SIAM J. Sci. Comput. Bengt Fornberg, Cécile Piret
2007	J	`jnl`	The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Comput. Math. Appl. Bengt Fornberg, Julia Zuev
2006	J	`jnl`	A Pseudospectral Fictitious Point Method for High Order Initial-Boundary Value Problems. SIAM J. Sci. Comput. Bengt Fornberg
2006	J	`jnl`	A new class of oscillatory radial basis functions. Comput. Math. Appl. Bengt Fornberg, Elisabeth Larsson, Grady B. Wright
2006	J	`jnl`	Scattered node compact finite difference-type formulas generated from radial basis functions. J. Comput. Phys. Grady B. Wright, Bengt Fornberg
2005	J	`jnl`	Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. Adv. Comput. Math. Bengt Fornberg, Natasha Flyer
2004	J	`jnl`	On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. SIAM J. Appl. Math. Bengt Fornberg, Natasha Flyer
2001	J	`jnl`	A Padé-based algorithm for overcoming the Gibbs phenomenon. Numer. Algorithms Tobin A. Driscoll, Bengt Fornberg
2000	J	`jnl`	Staggered Time Integrators for Wave Equations. SIAM J. Numer. Anal. Michelle Ghrist, Bengt Fornberg, Tobin A. Driscoll
1999	J	`jnl`	Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case. SIAM J. Sci. Comput. Tobin A. Driscoll, Bengt Fornberg
1999	J	`jnl`	Spatial Finite Difference Approximations for Wave-Type Equations. SIAM J. Numer. Anal. Bengt Fornberg, Michelle Ghrist
1998	J	`jnl`	Classroom Note: Calculation of Weights in Finite Difference Formulas. SIAM Rev. Bengt Fornberg
1996	—	`conf`	The Prospect for Parallel Computing in the Oil Industry. PARA Bengt Fornberg
1995	J	`jnl`	A Pseudospectral Approach for Polar and Spherical Geometries. SIAM J. Sci. Comput. Bengt Fornberg
1981	J	`jnl`	Algorithm 579: CPSC: Complex Power Series Coefficients [D4]. ACM Trans. Math. Softw. Bengt Fornberg
1981	J	`jnl`	Numerical Differentiation of Analytic Functions. ACM Trans. Math. Softw. Bengt Fornberg