Our group develops and studies infinitely smooth approximants based on barycentric rational as well as sinc interpolants, and applies them to the solution of differential and integral equations.
We work in particular on
- the extension of linear barycentric rational interpolants to several dimensions;
- the approximation of smooth functions with jumps by rational extrapolated sinc interpolants;
- the determination of the features (location, extension) of jumps from a single equidistant sample of a piecewise smooth function (figure).