Barycentric coordinates for Lagrange interpolation over lattices on a simplexJaklič, Gašper (Avtor) Kozak, Jernej (Avtor) Knez, Marjetka (Avtor) Vitrih, Vito (Avtor) Žagar, Emil (Avtor) numerical analysislatticebarycentric coordinatessimplexinterpolationIn this paper, a ▫$(d+1)$▫-pencil lattice on a simplex in ▫${\mathbb{R}}^d$▫ is studied. The lattice points are explicitly given in barycentric coordinates. This enables the construction and the efficient evaluation of the Lagrange interpolating polynomial over a lattice on a simplex. Also, the barycentric representation, based on shape parameters, turns out to be appropriate for the lattice extension from a simplex to a simplicial partition.20082016-04-08 16:46:32Delo ni kategorizirano7725sl