Colloquium: Radial basis functions topics in 40 slides

  • Date:
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 Häggsalen
  • Lecturer: Stefano De Marchi
  • Contact person: Thomas Kragh
  • Seminarium

Abstract: The seminar is intended as an overview of Radial Basis Functions (RBF) for non-experts. Starting from cubic splines we show how to construct RBF and why they are mostly used in scattered data approximation. Then, we provide some results on error estimates, conditioning and stability. We also show how to construct stable radial basis approximants and we conclude with new developments concerning rational RBF. Some interesting applications are briefly discussed.