3 citations · 11 across the 26 of their papers we have counts for
8 papers · 2 filters
A note on polynomial-free unisolvence of polyharmonic splines at random points
Len Bos, Alvise Sommariva, Marco Vianello
In this note we prove almost sure unisolvence of RBF interpolation on randomly distributed sequences by a wide class of polyharmonic splines (including Thin-Plate Splines), without…
Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball
L. Bialas-Ciez, D. J. Kenne, A. Sommariva +1
We show that product Chebyshev polynomial meshes can be used, in a fully discrete way, to evaluate with rigorous error bounds the Lebesgue constant, i.e. the maximum of the Lebesgu…
Chebyshev admissible meshes and Lebesgue constants of complex polynomial projections
Leokadia Bialas-Ciez, Dimitri Jordan Kenne, Alvise Sommariva +1
We construct admissible polynomial meshes on piecewise polynomial or trigonometric curves of the complex plane, by mapping univariate Chebyshev points. Such meshes can be used for…
Numerical cubature on scattered data by adaptive interpolation
R. Cavoretto, F. Dell'Accio, A. De Rossi +4
We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, P…
Hybrid hyperinterpolation over general regions
Congpei An, Jiashu Ran, Alvise Sommariva
We present an -regularized discrete least squares approximation over general regions under assumptions of hyperinterpolation, named hybrid hyperinterpolation. Hybr…
Qsurf: compressed QMC integration on parametric surfaces
Giacomo Elefante, Alvise Sommariva, Marco Vianello
We discuss a bottom-up algorithm for Tchakaloff like compression of Quasi-MonteCarlo (QMC) integration on surfaces that admit an analytic parametrization.