Polynomial mapped bases: theory and applications (Q2147769)

In this paper, the authors give the basic theory and the most important applications of a novel technique (a new simple technique that they have called fake nodes approach, which is a polynomial mapped bases method) that they have shown to be suitable for scattered data interpolation, quadrature, bio-imaging reconstruction. The new technique substantially mitigates the Runge's and Gibbs effects. Several examples are given.