Bounds on multivariate polynomials and exponential error estimates for multiquadratic interpolation

Scattered Data Techniques for Surfaces

Dagstuhl '97, Scientific Visualization

Radial basis function interpolation in the quantum trajectory method: optimization of the multi-quadric shape parameter

Journal of Computational Physics

Lp-error estimates for "shifted" surface spline interpolation on Sobolev space

Mathematics of Computation

An estimate for multivariate interpolation II

Journal of Approximation Theory

A note on the Gibbs phenomenon with multiquadric radial basis functions

Applied Numerical Mathematics

The Runge phenomenon and spatially variable shape parameters in RBF interpolation

Computers & Mathematics with Applications

On choosing a radial basis function and a shape parameter when solving a convective PDE on a sphere

Journal of Computational Physics

A numerical method for solution of the two-dimensional sine-Gordon equation using the radial basis functions

Mathematics and Computers in Simulation

An iterative adaptive multiquadric radial basis function method for the detection of local jump discontinuities

Applied Numerical Mathematics

Numerical solution of the nonlinear Klein-Gordon equation using radial basis functions

Journal of Computational and Applied Mathematics

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

Computers & Mathematics with Applications

Spectral collocation and radial basis function methods for one-dimensional interface problems

Applied Numerical Mathematics

Stable Computations with Gaussian Radial Basis Functions

SIAM Journal on Scientific Computing

The shape parameter in the Gaussian function

Computers & Mathematics with Applications

Maximin design on non hypercube domains and kernel interpolation

Statistics and Computing

On Dimension-independent Rates of Convergence for Function Approximation with Gaussian Kernels

SIAM Journal on Numerical Analysis

Full length article: Univariate interpolation by exponential functions and Gaussian RBFs for generic sets of nodes

Journal of Approximation Theory

Error estimates and condition numbers for radial basis function interpolation

Advances in Computational Mathematics

Radial basis function method for a multidimensional linear elliptic equation with nonlocal boundary conditions

Computers & Mathematics with Applications