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Stable computation of multiquadric interpolants for all values of the shape parameter

Computers & mathematics with applications (1987), 2004-09, Vol.48 (5), p.853-867

2004

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A numerical study of some radial basis function based solution methods for elliptic PDEs

Computers & mathematics with applications (1987), 2003-09, Vol.46 (5), p.891-902

2003

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Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

Computers & mathematics with applications (1987), 2005, Vol.49 (1), p.103-130

2005

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Numerical quadrature over smooth, closed surfaces

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2016-10, Vol.472 (2194), p.20160401-20160401

2016

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Interpolation in the limit of increasingly flat radial basis functions

Computers & mathematics with applications (1987), 2002-02, Vol.43 (3), p.413-422

2002

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Some observations regarding interpolants in the limit of flat radial basis functions

Computers & mathematics with applications (1987), 2004, Vol.47 (1), p.37-55

2004

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Observations on the behavior of radial basis function approximations near boundaries

Computers & mathematics with applications (1987), 2002-02, Vol.43 (3), p.473-490

2002

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Evolution of solitary waves in a two-pycnocline system

Journal of fluid mechanics, 2010-01, Vol.642, p.235-277

2010

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Magnetic Field Confinement in the Solar Corona. I. Force-free Magnetic Fields

The Astrophysical journal, 2004-05, Vol.606 (2), p.1210-1222

2004

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

Journal of computational physics, 2006-02, Vol.212 (1), p.99-123

2006

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The pseudospectral method: Comparisons with finite differences for the elastic wave equation

Geophysics, 1987-04, Vol.52 (4), p.483-501

Fornberg, Bengt

1987

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Fast high-dimensional node generation with variable density

Computers & mathematics with applications (1987), 2018-10, Vol.76 (7), p.1739-1757

2018

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Calculation of Weights in Finite Difference Formulas

SIAM review, 1998-09, Vol.40 (3), p.685-691

Fornberg, Bengt

1998

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Magnetic Field Confinement in the Solar Corona. II. Field-Plasma Interaction

The Astrophysical journal, 2005-10, Vol.631 (2), p.1239-1259

2005

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A split step approach for the 3-D Maxwell's equations

Journal of computational and applied mathematics, 2003-09, Vol.158 (2), p.485-505

2003

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Numerical quadrature over smooth, closed surfaces

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2016-10, Vol.472 (2194), p.1-15

2016

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

Advances in computational mathematics, 2005-07, Vol.23 (1-2), p.5-20

2005

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On the chance of freak waves at sea

Journal of fluid mechanics, 1998-01, Vol.355, p.113-138

1998

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Some unconditionally stable time stepping methods for the 3D Maxwell's equations

Journal of computational and applied mathematics, 2004-04, Vol.166 (2), p.497-523

2004

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Comparisons between pseudospectral and radial basis function derivative approximations

IMA journal of numerical analysis, 2010-01, Vol.30 (1), p.149-172

2010

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A new class of oscillatory radial basis functions

Computers & mathematics with applications (1987), 2006-04, Vol.51 (8), p.1209-1222

2006

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A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion

Journal of computational physics, 1999-11, Vol.155 (2), p.456-467

1999

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Accurate numerical resolution of transients in initial-boundary value problems for the heat equation

Journal of computational physics, 2003-01, Vol.184 (2), p.526-539

2003

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Generation of Finite Difference Formulas on Arbitrarily Spaced Grids

Mathematics of computation, 1988, Vol.51 (184), p.699-706

Fornberg, Bengt

1988

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A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations

International journal for numerical methods in fluids, 1995-05, Vol.20 (10), p.1137-1151

1995

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Stable computation of multiquadric interpolants for all values of the shape parameter

A numerical study of some radial basis function based solution methods for elliptic PDEs

Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions

Numerical quadrature over smooth, closed surfaces

Interpolation in the limit of increasingly flat radial basis functions

Some observations regarding interpolants in the limit of flat radial basis functions

Observations on the behavior of radial basis function approximations near boundaries

Evolution of solitary waves in a two-pycnocline system

Magnetic Field Confinement in the Solar Corona. I. Force-free Magnetic Fields

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

The pseudospectral method: Comparisons with finite differences for the elastic wave equation

Fast high-dimensional node generation with variable density

Calculation of Weights in Finite Difference Formulas

Magnetic Field Confinement in the Solar Corona. II. Field-Plasma Interaction

A split step approach for the 3-D Maxwell's equations

Numerical quadrature over smooth, closed surfaces

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

On the chance of freak waves at sea

Some unconditionally stable time stepping methods for the 3D Maxwell's equations

Comparisons between pseudospectral and radial basis function derivative approximations

A new class of oscillatory radial basis functions

A Fast Spectral Algorithm for Nonlinear Wave Equations with Linear Dispersion

Accurate numerical resolution of transients in initial-boundary value problems for the heat equation

Generation of Finite Difference Formulas on Arbitrarily Spaced Grids

A compact fourth-order finite difference scheme for the steady incompressible Navier-Stokes equations

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