Technion Analysis seminar Speaker: Stefano De Marchi (University of Padova) Title: Weakly Admissible Meshes for interpolation and cubature Date: Thursday, January 26 at 2:30 p.m. Place: Amado 919. Cookies: 10 minutes before the talk Abstract: In the paper by Calvi and Levenberg [3], it has been recognized that the so-called Admissible Meshes (AM) play a central role in the construction of multivariate polynomial approximation processes on compact sets of Rd. The concept is essentially a matter of polynomial inequalities. Since for many compacts the computational use of such admissible meshes becomes difficult or even impossible for d = 2, 3 already at mod- erate polynomial degrees, one can consider Weakly Admissible Meshes (WAM), which have lower cardinality than admissible ones. In the talk, we concentrate on the construction of WAMs mainly for 3-dimensional domains, such as, cones and toroidal sections, with two main applications in mind: polynomial interpolation at the so called Approximate Fekete Points (AFP) and/or Discrete Leja Points (DLP) (cf. [1, 2]) and cubature at AFP or DLP. Seminar webpage: <http://www.technion.ac.il/~tamarzr/analysis.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Tamar Ziegler <tamarzr@tx.technion.ac.il>