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Fornberg, Bengt

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Author ID: fornberg.bengt Recent zbMATH articles by "Fornberg, Bengt"
Published as: Fornberg, B.; Fornberg, Bengt
External Links: MGP
Documents Indexed: 113 Publications since 1969, including 5 Books
all top 5

Serials

21 Journal of Computational Physics
11 Computers & Mathematics with Applications
9 Journal of Fluid Mechanics
7 SIAM Journal on Scientific Computing
5 SIAM Journal on Numerical Analysis
4 Mathematics of Computation
4 Journal of Computational and Applied Mathematics
3 Physica D
2 IMA Journal of Numerical Analysis
2 Numerische Mathematik
2 Studies in Applied Mathematics
2 SIAM Journal on Scientific and Statistical Computing
2 Numerical Algorithms
2 SIAM Review
2 Advances in Computational Mathematics
2 Cambridge Monographs on Applied and Computational Mathematics
1 Computers and Fluids
1 International Journal for Numerical Methods in Fluids
1 ACM Transactions on Mathematical Software
1 BIT
1 Philosophical Transactions of the Royal Society of London. Ser. A
1 Journal of Scientific Computing
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 SIAM Journal on Applied Mathematics
1 Applied and Computational Harmonic Analysis
1 Engineering Analysis with Boundary Elements
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Foundations of Computational Mathematics
1 Acta Numerica
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Complex Variables and Elliptic Equations
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Mathematical Geosciences
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Other Titles in Applied Mathematics

Publications by Year

Citations contained in zbMATH Open

101 Publications have been cited 3,600 times in 2,169 Documents Cited by Year
A practical guide to pseudospectral methods. Zbl 0844.65084
Fornberg, Bengt
291
1996
A numerical and theoretical study of certain nonlinear wave phenomena. Zbl 0384.65049
Fornberg, B.; Whitham, G. B.
225
1978
A numerical study of steady viscous flow past a circular cylinder. Zbl 0428.76032
Fornberg, Bengt
166
1980
A practical guide to pseudospectral methods. 1st pbk-ed. Zbl 0912.65091
Fornberg, Bengt
161
1998
Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001
Fornberg, B.; Wright, G.
151
2004
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
135
2011
A numerical study of some radial basis function based solution methods for elliptic PDEs. Zbl 1049.65136
Larsson, E.; Fornberg, B.
135
2003
Interpolation in the limit of increasingly flat radial basis functions. Zbl 1006.65013
Driscoll, T. A.; Fornberg, B.
135
2002
Scattered node compact finite difference-type formulas generated from radial basis functions. Zbl 1089.65020
Wright, Grady B.; Fornberg, Bengt
111
2006
A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060
Li, Ming; Tang, Tao; Fornberg, Bengt
109
1995
The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Zbl 1128.41001
Fornberg, Bengt; Zuev, Julia
105
2007
A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307
Fornberg, Bengt; Piret, Cécile
103
2007
A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001
Fornberg, Bengt; Flyer, Natasha
89
2015
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Zbl 1074.41012
Larsson, E.; Fornberg, B.
88
2005
Some observations regarding interpolants in the limit of flat radial basis functions. Zbl 1048.41017
Fornberg, B.; Wright, G.; Larsson, E.
87
2004
Calculation of weights in finite difference formulas. Zbl 0914.65010
Fornberg, Bengt
80
1998
Generation of finite difference formulas on arbitrary spaced grids. Zbl 0701.65014
Fornberg, Bengt
80
1988
Observations on the behavior of radial basis function approximations near boundaries. Zbl 0999.65005
Fornberg, B.; Driscoll, T. A.; Wright, G.; Charles, R.
75
2002
Stable calculation of Gaussian-based RBF-FD stencils. Zbl 1319.65011
Fornberg, Bengt; Lehto, Erik; Powell, Collin
73
2013
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
70
2015
Stabilization of RBF-generated finite difference methods for convective PDEs. Zbl 1210.65154
Fornberg, Bengt; Lehto, Erik
66
2011
Steady viscous flow past a circular cylinder up to Reynolds number 600. Zbl 0576.76026
Fornberg, Bengt
58
1985
A fast spectral algorithm for nonlinear wave equations with linear dispersion. Zbl 0937.65109
Fornberg, Bengt; Driscoll, Tobin A.
50
1999
Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions. Zbl 1362.65026
Larsson, Elisabeth; Lehto, Erik; Heryudono, Alfa; Fornberg, Bengt
49
2013
On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642
Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A.
47
2016
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144
Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A.
41
2017
A numerical study of 2-D turbulence. Zbl 0461.76040
Fornberg, Bengt
40
1977
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. Zbl 1135.65039
Fornberg, Bengt; Piret, Cécile
37
2008
A Padé-based algorithm for overcoming the Gibbs phenomenon. Zbl 0973.65133
Driscoll, Tobin A.; Fornberg, Bengt
36
2001
On a Fourier method for the integration of hyperbolic equations. Zbl 0349.35003
Fornberg, Bengt
35
1975
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
32
2005
A numerical method for conformal mappings. Zbl 0451.30003
Fornberg, Bengt
31
1980
A pseudospectral approach for polar and spherical geometries. Zbl 0831.65119
Fornberg, Bengt
28
1995
A numerical methodology for the Painlevé equations. Zbl 1220.65092
Fornberg, Bengt; Weideman, J. A. C.
26
2011
Stable computations with flat radial basis functions using vector-valued rational approximations. Zbl 1378.65045
Wright, Grady B.; Fornberg, Bengt
25
2017
Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078
Flyer, Natasha; Fornberg, Bengt
22
2011
A split step approach for the 3-D Maxwell’s equations. Zbl 1029.65094
Lee, Jongwoo; Fornberg, Bengt
22
2003
Some steady vortex flows past a circular cylinder. Zbl 0973.76015
Elcrat, Alan; Fornberg, Bengt; Horn, Mark; Miller, Kenneth
22
2000
A new class of oscillatory radial basis functions. Zbl 1161.41304
Fornberg, B.; Larsson, E.; Wright, G.
21
2006
A review of pseudospectral methods for solving partial differential equations. Zbl 0808.65117
Fornberg, Bengt; Sloan, David M.
21
1994
On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equation. Zbl 0258.65092
Fornberg, B.
21
1973
A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099
Fornberg, Bengt; Flyer, Natasha
19
2011
On the chance of freak waves at sea. Zbl 0905.76020
White, Benjamin S.; Fornberg, Bengt
19
1998
Steady incompressible flow past a row of circular cylinders. Zbl 0722.76023
Fornberg, Bengt
18
1991
Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042
Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M.
16
2010
Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079
Flyer, Natasha; Fornberg, Bengt
16
2003
A computational exploration of the second Painlevé equation. Zbl 1305.33034
Fornberg, Bengt; Weideman, J. A. C.
15
2014
Some unconditionally stable time stepping methods for the 3D Maxwell’s equations. Zbl 1034.78019
Lee, Jongwoo; Fornberg, Bengt
15
2004
Staggered time integrators for wave equations. Zbl 0973.65070
Ghrist, Michelle; Fornberg, Bengt; Driscoll, Tobin A.
15
2000
Stability of vortices in equilibrium with a cylinder. Zbl 1083.76030
Elcrat, Alan R.; Fornberg, Bengt; Miller, Kenneth G.
14
2005
High-order finite differences and the pseudospectral method on staggered grids. Zbl 0705.65076
Fornberg, Bengt
14
1990
Numerical differentiation of analytic functions. Zbl 0465.65012
Fornberg, Bengt
14
1981
A pseudospectral fictitious point method for high order initial-boundary value problems. Zbl 1123.65104
Fornberg, Bengt
13
2006
Calculations of laminar viscous flow over a moving wavy surface. Zbl 0521.76030
Caponi, E. A.; Fornberg, B.; Knight, D. D.; McLean, J. W.; Saffman, P. G.; Yuen, H. C.
13
1982
Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013
Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile
12
2008
Spatial finite difference approximations for wave-type equations. Zbl 0964.65090
Fornberg, Bengt; Ghrist, Michelle
12
1999
Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces. Zbl 1403.80035
Martin, Bradley; Fornberg, Bengt
10
2017
A spectrally accurate numerical implementation of the Fokas transform method for Helmholtz-type PDEs. Zbl 1291.65083
Davis, Christopher-Ian Raphaël; Fornberg, Bengt
10
2014
Block pseudospectral methods for Maxwell’s equations. II: Two-dimensional, discontinuous-coefficient case. Zbl 0949.65107
Driscoll, Tobin A.; Fornberg, Bengt
10
1999
Painlevé IV with both parameters zero: A numerical study. Zbl 1271.34090
Reeger, Jonah A.; Fornberg, Bengt
8
2013
On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017
Flyer, Natasha; Fornberg, Bengt
8
2003
Numerical quadrature over smooth surfaces with boundaries. Zbl 1380.65053
Reeger, Jonah A.; Fornberg, Bengt
7
2018
Numerical quadrature over the surface of a sphere. Zbl 1350.65020
Reeger, Jonah A.; Fornberg, Bengt
7
2016
Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations. Zbl 1119.78016
Fornberg, Bengt; Zuev, Julia; Lee, Jongwoo
7
2007
Some steady axisymmetric vortex flows past a sphere. Zbl 0985.76011
Elcrat, Alan; Fornberg, Bengt; Miller, Kenneth
7
2001
Numerical quadrature over smooth, closed surfaces. Zbl 1372.65084
Reeger, J. A.; Fornberg, B.; Watts, M. L.
6
2016
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413
Fornberg, Bengt; Flyer, Natasha
6
2015
Painlevé IV: A numerical study of the fundamental domain and beyond. Zbl 1349.34390
Reeger, Jonah A.; Fornberg, Bengt
6
2014
A numerical method for conformal mapping of doubly connected regions. Zbl 0551.30012
Fornberg, Bengt
6
1984
On spherical harmonics based numerical quadrature over the surface of a sphere. Zbl 1307.65030
Fornberg, Bengt; Martel, Jordan M.
5
2014
Evolution of solitary waves in a two-pycnocline system. Zbl 1183.76650
Nitsche, M.; Weidman, P. D.; Grimshaw, R.; Ghrist, M.; Fornberg, B.
5
2010
Some numerical techniques for Maxwell’s equations in different types of geometries. Zbl 1059.78037
Fornberg, Bengt
5
2003
A block pseudospectral method for Maxwell’s equations. I: One-dimensional case. Zbl 0908.65090
Driscoll, Tobin A.; Fornberg, Bengt
5
1998
Computing steady incompressible flows past blunt bodies – A historical overview. Zbl 0802.76066
Fornberg, Bengt
5
1993
An improved pseudospectral method for initial-boundary value problems. Zbl 0717.65073
Fornberg, Bengt
5
1990
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Zbl 1380.65059
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
4
2017
A computational overview of the solution space of the imaginary Painlevé II equation. Zbl 1364.34127
Fornberg, Bengt; Weideman, J. A. C.
4
2015
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472
Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt
3
2018
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
3
2018
Note on nonsymmetric finite differences for Maxwell’s equations. Zbl 0998.78013
Driscoll, Tobin A.; Fornberg, Bengt
3
2000
Flow past a row of flat plates at large Reynolds numbers. Zbl 0816.76048
Natarajan, Ramesh; Fornberg, Bengt; Acrivos, Andreas
3
1993
Complex zeros of the Jonquiere or polylogarithm function. Zbl 0305.33014
Fornberg, B.; Kölbig, K. S.
3
1975
Complex variables and analytic functions. An illustrated introduction. Zbl 1451.30002
Fornberg, Bengt; Piret, Cécile
2
2020
On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012
Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt
2
2019
Steady axisymmetric vortex flows with swirl and shear. Zbl 1151.76402
Elcrat, Alan R.; Fornberg, Bengt; Miller, Kenneth G.
2
2008
A finite difference procedure for a class of free boundary problems. Zbl 0759.65085
Fornberg, Bengt; Meyer-Spasche, Rita
2
1992
Rapid generation of weights in finite difference formulas. Zbl 0696.65016
Fornberg, B.
2
1990
A vector implementation of the fast Fourier transform algorithm. Zbl 0455.65090
Fornberg, Bengt
2
1981
Fast variable density 3-D node generation. Zbl 07331666
van der Sande, Kiera; Fornberg, Bengt
1
2021
Improving the accuracy of the trapezoidal rule. Zbl 07308562
Fornberg, Bengt
1
2021
An improved Gregory-like method for 1-D quadrature. Zbl 07006662
Fornberg, Bengt; Reeger, Jonah A.
1
2019
Fast high-dimensional node generation with variable density. Zbl 07163120
Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt
1
2018
Fast calculation of Laurent expansions for matrix inverses. Zbl 1422.65058
Fornberg, Bengt
1
2016
Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042
Fornberg, Bengt; Elcrat, Alan R.
1
2014
Two results concerning the stability of staggered multistep methods. Zbl 1256.65075
Ghrist, Michelle; Fornberg, Bengt
1
2012
A finite difference method for free boundary problems. Zbl 1186.65139
Fornberg, Bengt
1
2010
Steady vortex flow obtained from a nonlinear eigenvalue problem. Zbl 0934.76015
Elcrat, Alan; Fornberg, Bengt; Miller, Kenneth
1
1999
A new numerical algorithm for the analytic continuation of Green’s functions. Zbl 0855.65002
Natoli, Vincent D.; Cohen, Morrel H.; Fornberg, Bengt
1
1996
Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation. Zbl 0737.65092
Meyer-Spasche, Rita; Fornberg, Bengt
1
1991
Numerical computation of nonlinear waves. Zbl 0525.65074
Fornberg, Bengt
1
1981
Fast variable density 3-D node generation. Zbl 07331666
van der Sande, Kiera; Fornberg, Bengt
1
2021
Improving the accuracy of the trapezoidal rule. Zbl 07308562
Fornberg, Bengt
1
2021
Complex variables and analytic functions. An illustrated introduction. Zbl 1451.30002
Fornberg, Bengt; Piret, Cécile
2
2020
On the role of polynomials in RBF-FD approximations. III: Behavior near domain boundaries. Zbl 1451.65012
Bayona, Víctor; Flyer, Natasha; Fornberg, Bengt
2
2019
An improved Gregory-like method for 1-D quadrature. Zbl 07006662
Fornberg, Bengt; Reeger, Jonah A.
1
2019
Numerical quadrature over smooth surfaces with boundaries. Zbl 1380.65053
Reeger, Jonah A.; Fornberg, Bengt
7
2018
On the Fokas method for the solution of elliptic problems in both convex and non-convex polygonal domains. Zbl 1416.65472
Colbrook, Matthew J.; Flyer, Natasha; Fornberg, Bengt
3
2018
A computational exploration of the McCoy-Tracy-Wu solutions of the third Painlevé equation. Zbl 1375.34125
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
3
2018
Fast high-dimensional node generation with variable density. Zbl 07163120
Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt
1
2018
On the role of polynomials in RBF-FD approximations: II. Numerical solution of elliptic PDEs. Zbl 1380.65144
Bayona, Victor; Flyer, Natasha; Fornberg, Bengt; Barnett, Gregory A.
41
2017
Stable computations with flat radial basis functions using vector-valued rational approximations. Zbl 1378.65045
Wright, Grady B.; Fornberg, Bengt
25
2017
Using radial basis function-generated finite differences (RBF-FD) to solve heat transfer equilibrium problems in domains with interfaces. Zbl 1403.80035
Martin, Bradley; Fornberg, Bengt
10
2017
Methods for the computation of the multivalued Painlevé transcendents on their Riemann surfaces. Zbl 1380.65059
Fasondini, Marco; Fornberg, Bengt; Weideman, J. A. C.
4
2017
On the role of polynomials in RBF-FD approximations. I: Interpolation and accuracy. Zbl 1349.65642
Flyer, Natasha; Fornberg, Bengt; Bayona, Victor; Barnett, Gregory A.
47
2016
Numerical quadrature over the surface of a sphere. Zbl 1350.65020
Reeger, Jonah A.; Fornberg, Bengt
7
2016
Numerical quadrature over smooth, closed surfaces. Zbl 1372.65084
Reeger, J. A.; Fornberg, B.; Watts, M. L.
6
2016
Fast calculation of Laurent expansions for matrix inverses. Zbl 1422.65058
Fornberg, Bengt
1
2016
A primer on radial basis functions with applications to the geosciences. Zbl 1358.86001
Fornberg, Bengt; Flyer, Natasha
89
2015
Solving PDEs with radial basis functions. Zbl 1316.65073
Fornberg, Bengt; Flyer, Natasha
70
2015
Fast generation of 2-D node distributions for mesh-free PDE discretizations. Zbl 1443.65413
Fornberg, Bengt; Flyer, Natasha
6
2015
A computational overview of the solution space of the imaginary Painlevé II equation. Zbl 1364.34127
Fornberg, Bengt; Weideman, J. A. C.
4
2015
A computational exploration of the second Painlevé equation. Zbl 1305.33034
Fornberg, Bengt; Weideman, J. A. C.
15
2014
A spectrally accurate numerical implementation of the Fokas transform method for Helmholtz-type PDEs. Zbl 1291.65083
Davis, Christopher-Ian Raphaël; Fornberg, Bengt
10
2014
Painlevé IV: A numerical study of the fundamental domain and beyond. Zbl 1349.34390
Reeger, Jonah A.; Fornberg, Bengt
6
2014
On spherical harmonics based numerical quadrature over the surface of a sphere. Zbl 1307.65030
Fornberg, Bengt; Martel, Jordan M.
5
2014
Some observations regarding steady laminar flows past bluff bodies. Zbl 1353.76042
Fornberg, Bengt; Elcrat, Alan R.
1
2014
Stable calculation of Gaussian-based RBF-FD stencils. Zbl 1319.65011
Fornberg, Bengt; Lehto, Erik; Powell, Collin
73
2013
Stable computation of differentiation matrices and scattered node stencils based on Gaussian radial basis functions. Zbl 1362.65026
Larsson, Elisabeth; Lehto, Erik; Heryudono, Alfa; Fornberg, Bengt
49
2013
Painlevé IV with both parameters zero: A numerical study. Zbl 1271.34090
Reeger, Jonah A.; Fornberg, Bengt
8
2013
Two results concerning the stability of staggered multistep methods. Zbl 1256.65075
Ghrist, Michelle; Fornberg, Bengt
1
2012
Stable computations with Gaussian radial basis functions. Zbl 1227.65018
Fornberg, Bengt; Larsson, Elisabeth; Flyer, Natasha
135
2011
Stabilization of RBF-generated finite difference methods for convective PDEs. Zbl 1210.65154
Fornberg, Bengt; Lehto, Erik
66
2011
A numerical methodology for the Painlevé equations. Zbl 1220.65092
Fornberg, Bengt; Weideman, J. A. C.
26
2011
Radial basis functions: developments and applications to planetary scale flows. Zbl 1272.65078
Flyer, Natasha; Fornberg, Bengt
22
2011
A numerical implementation of Fokas boundary integral approach: Laplace’s equation on a polygonal domain. Zbl 1226.65099
Fornberg, Bengt; Flyer, Natasha
19
2011
Comparisons between pseudospectral and radial basis function derivative approximations. Zbl 1185.65042
Fornberg, Bengt; Flyer, Natasha; Russell, Jennifer M.
16
2010
Evolution of solitary waves in a two-pycnocline system. Zbl 1183.76650
Nitsche, M.; Weidman, P. D.; Grimshaw, R.; Ghrist, M.; Fornberg, B.
5
2010
A finite difference method for free boundary problems. Zbl 1186.65139
Fornberg, Bengt
1
2010
On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere. Zbl 1135.65039
Fornberg, Bengt; Piret, Cécile
37
2008
Locality properties of radial basis function expansion coefficients for equispaced interpolation. Zbl 1134.65013
Fornberg, Bengt; Flyer, Natasha; Hovde, Susan; Piret, Cécile
12
2008
Steady axisymmetric vortex flows with swirl and shear. Zbl 1151.76402
Elcrat, Alan R.; Fornberg, Bengt; Miller, Kenneth G.
2
2008
The Runge phenomenon and spatially variable shape parameters in RBF interpolation. Zbl 1128.41001
Fornberg, Bengt; Zuev, Julia
105
2007
A stable algorithm for flat radial basis functions on a sphere. Zbl 1159.65307
Fornberg, Bengt; Piret, Cécile
103
2007
Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave equations. Zbl 1119.78016
Fornberg, Bengt; Zuev, Julia; Lee, Jongwoo
7
2007
Scattered node compact finite difference-type formulas generated from radial basis functions. Zbl 1089.65020
Wright, Grady B.; Fornberg, Bengt
111
2006
A new class of oscillatory radial basis functions. Zbl 1161.41304
Fornberg, B.; Larsson, E.; Wright, G.
21
2006
A pseudospectral fictitious point method for high order initial-boundary value problems. Zbl 1123.65104
Fornberg, Bengt
13
2006
Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions. Zbl 1074.41012
Larsson, E.; Fornberg, B.
88
2005
Accuracy of radial basis function interpolation and derivative approximations on 1 D infinite grids. Zbl 1067.65015
Fornberg, Bengt; Flyer, Natasha
32
2005
Stability of vortices in equilibrium with a cylinder. Zbl 1083.76030
Elcrat, Alan R.; Fornberg, Bengt; Miller, Kenneth G.
14
2005
Stable computation of multiquadric interpolants for all values of the shape parameter. Zbl 1072.41001
Fornberg, B.; Wright, G.
151
2004
Some observations regarding interpolants in the limit of flat radial basis functions. Zbl 1048.41017
Fornberg, B.; Wright, G.; Larsson, E.
87
2004
Some unconditionally stable time stepping methods for the 3D Maxwell’s equations. Zbl 1034.78019
Lee, Jongwoo; Fornberg, Bengt
15
2004
A numerical study of some radial basis function based solution methods for elliptic PDEs. Zbl 1049.65136
Larsson, E.; Fornberg, B.
135
2003
A split step approach for the 3-D Maxwell’s equations. Zbl 1029.65094
Lee, Jongwoo; Fornberg, Bengt
22
2003
Accurate numerical resolution of transients in initial-boundary value problems for the heat equation. Zbl 1017.65079
Flyer, Natasha; Fornberg, Bengt
16
2003
On the nature of initial-boundary value solutions for dispersive equations. Zbl 1053.35017
Flyer, Natasha; Fornberg, Bengt
8
2003
Some numerical techniques for Maxwell’s equations in different types of geometries. Zbl 1059.78037
Fornberg, Bengt
5
2003
Interpolation in the limit of increasingly flat radial basis functions. Zbl 1006.65013
Driscoll, T. A.; Fornberg, B.
135
2002
Observations on the behavior of radial basis function approximations near boundaries. Zbl 0999.65005
Fornberg, B.; Driscoll, T. A.; Wright, G.; Charles, R.
75
2002
A Padé-based algorithm for overcoming the Gibbs phenomenon. Zbl 0973.65133
Driscoll, Tobin A.; Fornberg, Bengt
36
2001
Some steady axisymmetric vortex flows past a sphere. Zbl 0985.76011
Elcrat, Alan; Fornberg, Bengt; Miller, Kenneth
7
2001
Some steady vortex flows past a circular cylinder. Zbl 0973.76015
Elcrat, Alan; Fornberg, Bengt; Horn, Mark; Miller, Kenneth
22
2000
Staggered time integrators for wave equations. Zbl 0973.65070
Ghrist, Michelle; Fornberg, Bengt; Driscoll, Tobin A.
15
2000
Note on nonsymmetric finite differences for Maxwell’s equations. Zbl 0998.78013
Driscoll, Tobin A.; Fornberg, Bengt
3
2000
A fast spectral algorithm for nonlinear wave equations with linear dispersion. Zbl 0937.65109
Fornberg, Bengt; Driscoll, Tobin A.
50
1999
Spatial finite difference approximations for wave-type equations. Zbl 0964.65090
Fornberg, Bengt; Ghrist, Michelle
12
1999
Block pseudospectral methods for Maxwell’s equations. II: Two-dimensional, discontinuous-coefficient case. Zbl 0949.65107
Driscoll, Tobin A.; Fornberg, Bengt
10
1999
Steady vortex flow obtained from a nonlinear eigenvalue problem. Zbl 0934.76015
Elcrat, Alan; Fornberg, Bengt; Miller, Kenneth
1
1999
A practical guide to pseudospectral methods. 1st pbk-ed. Zbl 0912.65091
Fornberg, Bengt
161
1998
Calculation of weights in finite difference formulas. Zbl 0914.65010
Fornberg, Bengt
80
1998
On the chance of freak waves at sea. Zbl 0905.76020
White, Benjamin S.; Fornberg, Bengt
19
1998
A block pseudospectral method for Maxwell’s equations. I: One-dimensional case. Zbl 0908.65090
Driscoll, Tobin A.; Fornberg, Bengt
5
1998
A practical guide to pseudospectral methods. Zbl 0844.65084
Fornberg, Bengt
291
1996
A new numerical algorithm for the analytic continuation of Green’s functions. Zbl 0855.65002
Natoli, Vincent D.; Cohen, Morrel H.; Fornberg, Bengt
1
1996
A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations. Zbl 0836.76060
Li, Ming; Tang, Tao; Fornberg, Bengt
109
1995
A pseudospectral approach for polar and spherical geometries. Zbl 0831.65119
Fornberg, Bengt
28
1995
A review of pseudospectral methods for solving partial differential equations. Zbl 0808.65117
Fornberg, Bengt; Sloan, David M.
21
1994
Computing steady incompressible flows past blunt bodies – A historical overview. Zbl 0802.76066
Fornberg, Bengt
5
1993
Flow past a row of flat plates at large Reynolds numbers. Zbl 0816.76048
Natarajan, Ramesh; Fornberg, Bengt; Acrivos, Andreas
3
1993
A finite difference procedure for a class of free boundary problems. Zbl 0759.65085
Fornberg, Bengt; Meyer-Spasche, Rita
2
1992
Steady incompressible flow past a row of circular cylinders. Zbl 0722.76023
Fornberg, Bengt
18
1991
Discretization errors at free boundaries of the Grad-Schlüter-Shafranov equation. Zbl 0737.65092
Meyer-Spasche, Rita; Fornberg, Bengt
1
1991
High-order finite differences and the pseudospectral method on staggered grids. Zbl 0705.65076
Fornberg, Bengt
14
1990
An improved pseudospectral method for initial-boundary value problems. Zbl 0717.65073
Fornberg, Bengt
5
1990
Rapid generation of weights in finite difference formulas. Zbl 0696.65016
Fornberg, B.
2
1990
Generation of finite difference formulas on arbitrary spaced grids. Zbl 0701.65014
Fornberg, Bengt
80
1988
Steady viscous flow past a circular cylinder up to Reynolds number 600. Zbl 0576.76026
Fornberg, Bengt
58
1985
A numerical method for conformal mapping of doubly connected regions. Zbl 0551.30012
Fornberg, Bengt
6
1984
Calculations of laminar viscous flow over a moving wavy surface. Zbl 0521.76030
Caponi, E. A.; Fornberg, B.; Knight, D. D.; McLean, J. W.; Saffman, P. G.; Yuen, H. C.
13
1982
Numerical differentiation of analytic functions. Zbl 0465.65012
Fornberg, Bengt
14
1981
A vector implementation of the fast Fourier transform algorithm. Zbl 0455.65090
Fornberg, Bengt
2
1981
Numerical computation of nonlinear waves. Zbl 0525.65074
Fornberg, Bengt
1
1981
A numerical study of steady viscous flow past a circular cylinder. Zbl 0428.76032
Fornberg, Bengt
166
1980
A numerical method for conformal mappings. Zbl 0451.30003
Fornberg, Bengt
31
1980
A numerical and theoretical study of certain nonlinear wave phenomena. Zbl 0384.65049
Fornberg, B.; Whitham, G. B.
225
1978
A numerical study of 2-D turbulence. Zbl 0461.76040
Fornberg, Bengt
40
1977
On a Fourier method for the integration of hyperbolic equations. Zbl 0349.35003
Fornberg, Bengt
35
1975
Complex zeros of the Jonquiere or polylogarithm function. Zbl 0305.33014
Fornberg, B.; Kölbig, K. S.
3
1975
On the instability of leap-frog and Crank-Nicolson approximations of a nonlinear partial differential equation. Zbl 0258.65092
Fornberg, B.
21
1973
...and 1 more Documents
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Cited by 3,333 Authors

56 Fornberg, Bengt
35 Dehghan Takht Fooladi, Mehdi
33 Boyd, John Philip
20 Wright, Grady B.
19 Flyer, Natasha
18 Ling, Leevan
18 Smyth, Noel F.
18 Zhang, Jun
16 Jung, Jae-Hun
15 Abbaszadeh, Mostafa
15 Cavoretto, Roberto
15 Kindelan, Manuel Segura
15 Larsson, Elisabeth
15 Salupere, Andrus
15 Wei, Guowei
14 Driscoll, Tobin A.
14 Grimshaw, Roger Hamilton James
14 Power, Henry
13 Fasshauer, Gregory E.
13 Fokas, Athanassios S.
13 Kalita, Jiten C.
12 Bayona, Victor
12 De Marchi, Stefano
12 De Rossi, Alessandra
12 Engelbrecht, Jüri
12 Golbabai, Ahmad
12 Mai-Duy, Nam
12 Tian, Zhenfu
11 Chen, Ching-Shyang
11 Esmaeilbeigi, Mohsen
11 Minzoni, Antonmaria Alessio
11 Sarra, Scott A.
11 Shankar, Varun
11 Shu, Chang
10 Karageorghis, Andreas
10 Mohebbi, Akbar
10 Moscoso, Miguel
10 Perracchione, Emma
10 Soleymani, Fazlollah
9 Heryudono, Alfa R. H.
9 Kansa, Edward J.
9 Schaback, Robert
9 Zhao, Shan
8 Bassom, Andrew P.
8 Bhrawy, Ali Hassan
8 Davydov, Oleg V.
8 Feng, Xinlong
8 Ferreira, António Joaquim Mendes
8 Klein, Christian
8 Tran-Cong, Thanh
7 Djidjeli, K.
7 Ge, Yongbin
7 Gelb, Anne
7 González-Rodríguez, Pedro
7 Hesthaven, Jan S.
7 Ingham, Derek Binns
7 Kadalbajoo, Mohan K.
7 Piret, Cécile
7 Protas, Bartosz
7 Reeger, Jonah A.
7 Schiesser, William E.
7 Sekhar, T. V. S.
7 Siraj-ul-Islam
7 Tang, Tao
7 Tian, Lixin
7 Yu, Peixiang
6 Bao, Weizhu
6 Carcione, José M.
6 DeLillo, Thomas K.
6 Ding, Hang
6 Dritschel, David Gerard
6 Elcrat, Alan R.
6 Hagstrom, Thomas M.
6 Hon, Yiu-Chung
6 Julien, Keith A.
6 Kazem, Saeed
6 Kumar, Alpesh
6 Lehto, Erik
6 Li, Jichun
6 Mittal, Sanjay
6 Mohammadi, Vahid
6 Parand, Kourosh
6 Platte, Rodrigo B.
6 Rad, Jamal Amani
6 Santin, Gabriele
6 Sanyasiraju, Y. V. S. S.
6 Shivanian, Elyas
6 Shizgal, Bernie D.
6 Tripathi, Lok Pati
6 Viloche Bazán, Fermín S.
6 Weideman, J. André C.
6 Wendland, Holger
5 Abbasbandy, Saeid
5 Babolian, Esmail
5 Ballestra, Luca Vincenzo
5 Bernal, Francisco
5 Bhatt, Harish P.
5 Chandhini, G.
5 Cheng, Alexander H.-D.
5 Clarkson, Peter A.
...and 3,233 more Authors
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Cited in 252 Serials

303 Journal of Computational Physics
128 Journal of Computational and Applied Mathematics
128 Engineering Analysis with Boundary Elements
103 Applied Mathematics and Computation
95 Computers & Mathematics with Applications
94 Journal of Fluid Mechanics
76 Journal of Scientific Computing
64 Applied Numerical Mathematics
54 Computers and Fluids
37 Computer Methods in Applied Mechanics and Engineering
36 Wave Motion
36 Physics of Fluids
35 Physica D
35 SIAM Journal on Scientific Computing
32 Mathematics of Computation
27 International Journal for Numerical Methods in Fluids
26 Mathematics and Computers in Simulation
26 Advances in Computational Mathematics
24 Computer Physics Communications
24 Numerical Algorithms
24 Applied Mathematical Modelling
22 Numerical Methods for Partial Differential Equations
22 European Journal of Mechanics. B. Fluids
19 International Journal for Numerical Methods in Engineering
19 International Journal of Computer Mathematics
19 Communications in Nonlinear Science and Numerical Simulation
18 Studies in Applied Mathematics
17 BIT
14 Chaos, Solitons and Fractals
13 Journal of Engineering Mathematics
13 Numerische Mathematik
13 Communications in Numerical Methods in Engineering
13 Mathematical Problems in Engineering
13 Nonlinear Dynamics
12 Acta Mechanica
12 Journal of Mathematical Analysis and Applications
12 Applied Mathematics Letters
12 Computational and Applied Mathematics
11 SIAM Journal on Numerical Analysis
11 Chaos
10 Journal of Differential Equations
9 Constructive Approximation
9 International Journal of Computational Methods
8 Journal of Approximation Theory
8 Applied Mathematics and Mechanics. (English Edition)
8 Mathematical and Computer Modelling
8 Abstract and Applied Analysis
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 International Journal of Applied and Computational Mathematics
7 Journal of Mathematical Physics
7 Physics of Fluids, A
7 International Journal of Numerical Methods for Heat & Fluid Flow
7 Nonlinear Analysis. Real World Applications
6 Mathematical Methods in the Applied Sciences
6 Optimal Control Applications & Methods
6 Applied and Computational Harmonic Analysis
6 Journal of Applied Mathematics
6 Advances in Difference Equations
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Physics Letters. A
5 Computational Geosciences
4 Applicable Analysis
4 International Journal of Engineering Science
4 Computational Mechanics
4 SIAM Journal on Matrix Analysis and Applications
4 International Journal of Computational Fluid Dynamics
4 International Journal of Nonlinear Sciences and Numerical Simulation
4 International Journal of Modern Physics C
4 Foundations of Computational Mathematics
3 Fluid Dynamics
3 Journal of the Franklin Institute
3 Nonlinearity
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Calcolo
3 Meccanica
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Journal of Economic Dynamics & Control
3 Journal of Global Optimization
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Discrete and Continuous Dynamical Systems
3 Living Reviews in Relativity
3 Journal of Nonlinear Mathematical Physics
3 Computational Methods and Function Theory
3 Waves in Random and Complex Media
3 Inverse Problems in Science and Engineering
3 Complex Variables and Elliptic Equations
3 International Journal for Numerical Methods in Biomedical Engineering
2 Archive for Rational Mechanics and Analysis
2 International Journal of Control
2 International Journal of Heat and Mass Transfer
2 Inverse Problems
2 Journal of Applied Mathematics and Mechanics
2 Journal of Mathematical Biology
2 Physica A
2 Physics Reports
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Automatica
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Journal of Optimization Theory and Applications
...and 152 more Serials
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Cited in 48 Fields

1,338 Numerical analysis (65-XX)
730 Partial differential equations (35-XX)
701 Fluid mechanics (76-XX)
152 Approximations and expansions (41-XX)
139 Mechanics of deformable solids (74-XX)
102 Ordinary differential equations (34-XX)
84 Dynamical systems and ergodic theory (37-XX)
75 Optics, electromagnetic theory (78-XX)
72 Geophysics (86-XX)
50 Classical thermodynamics, heat transfer (80-XX)
49 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
48 Harmonic analysis on Euclidean spaces (42-XX)
44 Statistical mechanics, structure of matter (82-XX)
43 Functions of a complex variable (30-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
38 Biology and other natural sciences (92-XX)
33 Probability theory and stochastic processes (60-XX)
30 Integral equations (45-XX)
28 Special functions (33-XX)
26 Quantum theory (81-XX)
21 Computer science (68-XX)
21 Operations research, mathematical programming (90-XX)
17 Systems theory; control (93-XX)
15 Statistics (62-XX)
14 Real functions (26-XX)
14 Operator theory (47-XX)
13 Mechanics of particles and systems (70-XX)
12 Information and communication theory, circuits (94-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Relativity and gravitational theory (83-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
7 General and overarching topics; collections (00-XX)
5 Potential theory (31-XX)
5 Integral transforms, operational calculus (44-XX)
5 Functional analysis (46-XX)
4 Difference and functional equations (39-XX)
3 Number theory (11-XX)
3 Astronomy and astrophysics (85-XX)
2 Algebraic geometry (14-XX)
2 Convex and discrete geometry (52-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Combinatorics (05-XX)
1 Commutative algebra (13-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)

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