Interpolation with radial basis functions and parameters.

**Abstract: **\\
Among the many approaches to approximation and interpolation, the ansatz using the so-called radial basis functions is a most successful one. This is because it works in all dimensions and practically for all types of distributions of the data points of which we are allowed to have arbitrarily many in arbitrary dimensions. In this talk we review the radial basis function method and explain why and how it works well. Both interpolation and other means of approximation will be addressed as well as several different choices of radial basis functions.