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Bengt Fornberg
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2020 – today
- 2024
- [j53]Andrew P. Lawrence
, Morten E. Nielsen, Bengt Fornberg:
Node subsampling for multilevel meshfree elliptic PDE solvers. Comput. Math. Appl. 164: 79-94 (2024) - [i5]Morten E. Nielsen, Bengt Fornberg:
High-order numerical method for solving elliptic partial differential equations on unfitted node sets. CoRR abs/2407.15825 (2024) - 2023
- [j52]Bengt Fornberg, Andrew P. Lawrence
Enhanced trapezoidal rule for discontinuous functions. J. Comput. Phys. 491: 112386 (2023) - [j51]Kiera van der Sande
Accelerating Explicit Time-Stepping with Spatially Variable Time Steps Through Machine Learning. J. Sci. Comput. 96(1): 31 (2023) - [j50]Bengt Fornberg, Cécile Piret
Computation of Fractional Derivatives of Analytic Functions. J. Sci. Comput. 96(3): 79 (2023) - [j49]J. A. C. Weideman
Fully numerical Laplace transform methods. Numer. Algorithms 92(1): 985-1006 (2023) - [i4]Andrew P. Lawrence, Morten E. Nielsen, Bengt Fornberg:
Node Subsampling for Multilevel Meshfree Elliptic PDE Solvers. CoRR abs/2303.09080 (2023) - 2022
- [j48]Bengt Fornberg
Finite difference formulas in the complex plane. Numer. Algorithms 90(3): 1305-1326 (2022) - 2021
- [j47]Dylan Abrahamsen
Solving the Korteweg-de Vries equation with Hermite-based finite differences. Appl. Math. Comput. 401: 126101 (2021) - [j46]Bengt Fornberg
Generalizing the trapezoidal rule in the complex plane. Numer. Algorithms 87(1): 187-202 (2021) - [j45]Abe C. Ellison, Bengt Fornberg:
A parallel-in-time approach for wave-type PDEs. Numerische Mathematik 148(1): 79-98 (2021) - [j44]Dylan Abrahamsen
On the Infinite Order Limit of Hermite-based Finite Difference Schemes. SIAM J. Numer. Anal. 59(4): 1857-1874 (2021) - [j43]Bengt Fornberg
Improving the Accuracy of the Trapezoidal Rule. SIAM Rev. 63(1): 167-180 (2021) - [j42]Kiera van der Sande
Fast Variable Density 3-D Node Generation. SIAM J. Sci. Comput. 43(1): A242-A257 (2021) - 2020
- [j41]David Gunderman
Transport schemes in spherical geometries using spline-based RBF-FD with polynomials. J. Comput. Phys. 408: 109256 (2020)
2010 – 2019
- 2019
- [j40]Victor Bayona
On the role of polynomials in RBF-FD approximations: III. Behavior near domain boundaries. J. Comput. Phys. 380: 378-399 (2019) - [j39]Dylan Abrahamsen
Explicit Time Stepping of PDEs with Local Refinement in Space-Time. J. Sci. Comput. 81(3): 1945-1962 (2019) - [j38]Bengt Fornberg, Jonah A. Reeger:
An improved Gregory-like method for 1-D quadrature. Numerische Mathematik 141(1): 1-19 (2019) - [i3]Kiera van der Sande, Bengt Fornberg:
Fast variable density 3-D node generation. CoRR abs/1906.00636 (2019) - [i2]Abe C. Ellison, Bengt Fornberg:
A parallel-in-time approach for wave-type PDEs. CoRR abs/1907.11771 (2019) - 2018
- [j37]Oleksandr Vlasiuk, Timothy Michaels, Natasha Flyer, Bengt Fornberg:
Fast high-dimensional node generation with variable density. Comput. Math. Appl. 76(7): 1739-1757 (2018) - [j36]Jonah A. Reeger
Numerical quadrature over smooth surfaces with boundaries. J. Comput. Phys. 355: 176-190 (2018) - [j35]Matthew J. Colbrook
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. J. Comput. Phys. 374: 996-1016 (2018) - 2017
- [j34]Grady B. Wright, Bengt Fornberg
Stable computations with flat radial basis functions using vector-valued rational approximations. J. Comput. Phys. 331: 137-156 (2017) - [j33]Victor Bayona
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. J. Comput. Phys. 332: 257-273 (2017) - [j32]Bradley Martin, Bengt Fornberg
Seismic modeling with radial basis function-generated finite differences (RBF-FD) - a simplified treatment of interfaces. J. Comput. Phys. 335: 828-845 (2017) - [j31]Marco Fasondini, Bengt Fornberg
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. J. Comput. Phys. 344: 36-50 (2017) - 2016
- [j30]Natasha Flyer, Bengt Fornberg
On the role of polynomials in RBF-FD approximations: I. Interpolation and accuracy. J. Comput. Phys. 321: 21-38 (2016) - [j29]Bengt Fornberg
Fast calculation of Laurent expansions for matrix inverses. J. Comput. Phys. 326: 722-732 (2016) - 2015
- [b1]Bengt Fornberg, Natasha Flyer:
A primer on radial basis functions with applications to the geosciences. CBMS-NSF regional conference series in applied mathematics 87, SIAM 2015, ISBN 978-1-611-97402-7, pp. 1-221 - [j28]Bengt Fornberg, Natasha Flyer:
Solving PDEs with radial basis functions. Acta Numer. 24: 215-258 (2015) - [j27]Bengt Fornberg
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Comput. Math. Appl. 69(7): 531-544 (2015) - 2014
- [j26]Bengt Fornberg
On spherical harmonics based numerical quadrature over the surface of a sphere. Adv. Comput. Math. 40(5-6): 1169-1184 (2014) - [j25]Bengt Fornberg
A Computational Exploration of the Second Painlevé Equation. Found. Comput. Math. 14(5): 985-1016 (2014) - 2013
- [j24]Bengt Fornberg
Stable calculation of Gaussian-based RBF-FD stencils. Comput. Math. Appl. 65(4): 627-637 (2013) - [j23]Elisabeth Larsson
Stable Computation of Differentiation Matrices and Scattered Node Stencils Based on Gaussian Radial Basis Functions. SIAM J. Sci. Comput. 35(4) (2013) - [i1]Nathan D. Monnig, Bengt Fornberg, François G. Meyer:
Inverting Non-Linear Dimensionality Reduction with Scale-Free Radial Basis Interpolation. CoRR abs/1305.0258 (2013) - 2012
- [j22]Michelle Ghrist, Bengt Fornberg
Two Results Concerning the Stability of Staggered Multistep Methods. SIAM J. Numer. Anal. 50(4): 1849-1860 (2012) - 2011
- [j21]Bengt Fornberg
Stabilization of RBF-generated finite difference methods for convective PDEs. J. Comput. Phys. 230(6): 2270-2285 (2011) - [j20]Bengt Fornberg
A numerical methodology for the Painlevé equations. J. Comput. Phys. 230(15): 5957-5973 (2011) - [j19]Bengt Fornberg:
Finite difference method. Scholarpedia 6(10): 9685 (2011) - [j18]Bengt Fornberg
Stable Computations with Gaussian Radial Basis Functions. SIAM J. Sci. Comput. 33(2): 869-892 (2011) - 2010
- [j17]Bengt Fornberg
A finite difference method for free boundary problems. J. Comput. Appl. Math. 233(11): 2831-2840 (2010)
2000 – 2009
- 2008
- [j16]Bengt Fornberg
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. J. Comput. Phys. 227(5): 2758-2780 (2008) - 2007
- [j15]Bengt Fornberg
The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Comput. Math. Appl. 54(3): 379-398 (2007) - [j14]Bengt Fornberg
A Stable Algorithm for Flat Radial Basis Functions on a Sphere. SIAM J. Sci. Comput. 30(1): 60-80 (2007) - 2006
- [j13]Bengt Fornberg
A new class of oscillatory radial basis functions. Comput. Math. Appl. 51(8): 1209-1222 (2006) - [j12]Grady B. Wright, Bengt Fornberg
Scattered node compact finite difference-type formulas generated from radial basis functions. J. Comput. Phys. 212(1): 99-123 (2006) - [j11]Bengt Fornberg
A Pseudospectral Fictitious Point Method for High Order Initial-Boundary Value Problems. SIAM J. Sci. Comput. 28(5): 1716-1729 (2006) - 2005
- [j10]Bengt Fornberg
Accuracy of radial basis function interpolation and derivative approximations on 1-D infinite grids. Adv. Comput. Math. 23(1-2): 5-20 (2005) - 2004
- [j9]Bengt Fornberg
On the Nature of Initial-Boundary Value Solutions for Dispersive Equations. SIAM J. Appl. Math. 64(2): 546-564 (2004) - 2001
- [j8]Tobin A. Driscoll, Bengt Fornberg
A Padé-based algorithm for overcoming the Gibbs phenomenon. Numer. Algorithms 26(1): 77-92 (2001) - 2000
- [j7]Michelle Ghrist, Bengt Fornberg
Staggered Time Integrators for Wave Equations. SIAM J. Numer. Anal. 38(3): 718-741 (2000)
1990 – 1999
- 1999
- [j6]Bengt Fornberg, Michelle Ghrist:
Spatial Finite Difference Approximations for Wave-Type Equations. SIAM J. Numer. Anal. 37(1): 105-130 (1999) - [j5]Tobin A. Driscoll, Bengt Fornberg:
Block Pseudospectral Methods for Maxwell's Equations II: Two-Dimensional, Discontinuous-Coefficient Case. SIAM J. Sci. Comput. 21(3): 1146-1167 (1999) - 1998
- [j4]Bengt Fornberg:
Classroom Note: Calculation of Weights in Finite Difference Formulas. SIAM Rev. 40(3): 685-691 (1998) - 1996
- [c1]Bengt Fornberg:
The Prospect for Parallel Computing in the Oil Industry. PARA 1996: 262-271 - 1995
- [j3]Bengt Fornberg:
A Pseudospectral Approach for Polar and Spherical Geometries. SIAM J. Sci. Comput. 16(5): 1071-1081 (1995)
1980 – 1989
- 1981
- [j2]Bengt Fornberg
Numerical Differentiation of Analytic Functions. ACM Trans. Math. Softw. 7(4): 512-526 (1981) - [j1]Bengt Fornberg
Algorithm 579: CPSC: Complex Power Series Coefficients [D4]. ACM Trans. Math. Softw. 7(4): 542-547 (1981)
Coauthor Index
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