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- Theoretical and computational aspects of multivariate interpolation with increasingly flat radial basis functions
- Under consideration for publication in J. Fluid Mech. 1 Steady Axisymmetric Vortex Flows with
- A NUMERICAL AND THEORETICAL STUDY OF CERTAIN NONLINEAR WAVE PHENOMENA
- Stability and accuracy of time-extrapolated ADI-FDTD methods for solving wave
- STABLE COMPUTATIONS WITH GAUSSIAN RADIAL BASIS BENGT FORNBERG, ELISABETH LARSSON, AND NATASHA FLYER
- A NUMERICAL METHODOLOGY FOR THE PAINLEV BENGT FORNBERG AND J.A.C. WEIDEMAN
- A Short Proof of the Unconditional Stability of the ADI-FDTD Scheme Bengt Fornberg
- A FINITE DIFFERENCE METHOD FOR FREE BOUNDARY BENGT FORNBERG
- Scattered Node Compact Finite Difference-Type Formulas Generated from
- Numerical Differentiation BENGT FORNBERG
- COMPARISON OF FINITE DIFFERENCE-AND PSEUDOSPECTRAL METHODS FOR CONVECTIVE FLOW OVER A SPHERE
- Some Numerical Techniques for Maxwell's Equations in Different Types of Geometries
- ALGORITHM 579 CPSC: Complex Power Series Coefficients
- INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL. 20, 1137-1151 (1995) A COMPACT FOURTH-ORDER FINITE DIFFERENCE
- Author's personal copy On choosing a radial basis function and a shape parameter
- Numerical Tests of the Fokas Method for Helmholtz-type Partial Differential Equations: Dirichlet to Neumann Maps
- A SPLIT STEP APPROACH FOR THE 3-D MAXWELL'S JONGWOO LEE AND BENGT FORNBERG
- MAGNETIC FIELD CONFINEMENT IN THE SOLAR CORONA. II. FIELD-PLASMA INTERACTION B. Fornberg,2
- ACCURACY OF RADIAL BASIS FUNCTION INTERPOLATION AND DERIVATIVE APPROXIMATIONS ON 1-D INFINITE GRIDS
- CALCULATION OF WEIGHTS IN FINITE DIFFERENCE BENGT FORNBERG
- Numerical Algorithms 0 (2000) ?? 1 A Pade-based algorithm for overcoming the Gibbs
- Radial basis functions: Developments and applications to planetary scale flows
- Recent advances in numerical PDEs Julia Michelle Zuev
- Analytical and Numerical Advances in Radial Basis Functions
- A NUMERICAL IMPLEMENTATION OF FOKAS BOUNDARY INTEGRAL APPROACH: LAPLACE'S EQUATION ON A
- Magnetic Relaxation in the Solar Corona Kenneth Miller1
- IMA Journal of Numerical Analysis (2007) Page 1 of 25 doi: 10.1093/imanum/dri017
- A STABLE ALGORITHM FOR FLAT RADIAL BASIS FUNCTIONS ON A SPHERE
- THE RUNGE PHENOMENON AND SPATIALLY VARIABLE SHAPE PARAMETERS IN RBF INTERPOLATION
- SIAM J. SCI. COMPUT. c 2006 Society for Industrial and Applied Mathematics Vol. 28, No. 5, pp. 17161729
- A NEW CLASS OF OSCILLATORY RADIAL BASIS FUNCTIONS BENGT FORNBERG , ELISABETH LARSSON , AND GRADY WRIGHT
- Under consideration for publication in J. Fluid Mech. 1 Stability of Vortices in Equilibrium with a
- MAGNETIC FIELD CONFINEMENT IN THE SOLAR CORONA. I. FORCE-FREE MAGNETIC FIELDS B. Fornberg,2
- An InternationalJournal Available onlineat www.sciencedirect.com eomouter_~ &
- Some unconditionally stable time stepping methods for the 3-D Maxwell's equations
- INTERPOLATION IN THE LIMIT OF INCREASINGLY FLAT RADIAL BASIS FUNCTIONS
- Under consideration for publication in J. Fluid Mech. 1 Some steady axisymmetric vortex ows past
- Note on nonsymmetric finite differences for Maxwell's equations
- J. Fluid Mech. (2000), vol. 409, pp. 1327. Printed in the United Kingdom c 2000 Cambridge University Press
- Journal of Computational Physics 155, 456467 (1999) Article ID jcph.1999.6351, available online at http://www.idealibrary.com on
- BLOCK PSEUDOSPECTRAL METHODS FOR MAXWELL'S EQUATIONS II: TWO-DIMENSIONAL,
- J. Fluid Mech. (1998), ol. 355, pp. 113138. Printed in the United Kingdom # 1998 Cambridge University Press
- Finite Difference and Pseudospectral Methods applied to the Shallow Water Equations in Spherical Coordinates
- J. FluidMech.(1988),vol.190,pp.471-489 471 Printedin GreatBritain
- GEOPHYSICS. VOL. 52, NO. 4 (APRIL 1987); P. 483-501, 21 FIGS., 4 TABLES. The pseudospectral method: Comparisons with finite differences
- J. Fluid Mea.. (1980), vol. 98, parl4, pp. 819-855 Printed in (keat Britain
- Reprinted from JOURNALOF COMPlITATIONALPHYSICS Vol. 2~, No.1, September 1977 All Right. Reserved by Academic Press, New York and London Printed in Belgium
- On the Instability of Leap-Frog and Crank-Nicolson Approximations of a Nonlinear Partial
- STABLE COMPUTATIONS WITH GAUSSIAN RADIAL BASIS FUNCTIONS IN 2-D
- A Numerical Study of some Radial Basis Function based Solution Methods for Elliptic PDEs
- SPATIAL FINITE DIFFERENCE APPROXIMATIONS FOR WAVE-TYPE EQUATIONS
- STAGGERED TIME INTEGRATORS FOR WAVE EQUATIONS MICHELLE GHRIST, BENGT FORNBERG, AND TOBIN A. DRISCOLL
- PADE-BASED INTERPRETATION AND CORRECTION OF THE GIBBS PHENOMENON
- CURRICULUM VITAE Bengt Fornberg
- THE GIBBS PHENOMENON FOR RADIAL BASIS FUNCTIONS BENGT FORNBERG AND NATASHA FLYER
- This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research
- IMA Journal of Numerical Analysis (2008) Page 1 of 28 doi: 10.1093/imanum/dri000
