In this talk we review a family of barycentric rational interpolants that have no real poles and arbitrarily high approximation orders on any real interval, regardless of the distribution of the points. These interpolants, that extend an earlier method of Berrut, are simple to implement and compare well with other methods such as splines.
We then discuss some possible generalizations: to more general pole-free interpolants and to higher dimensions.
|PER 08 Phys 2.52
Chemin du Musée 3
|Department of Mathematics