5 citations · 24 across the 21 of their papers we have counts for
7 papers · 1 filter
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…
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.
Random sampling and unisolvent interpolation by almost everywhere analytic functions
Francesco Dell'Accio, Alvise Sommariva, Marco Vianello
We prove a.s. (almost sure) unisolvency of interpolation by continuous random sampling with respect to any given density, in spaces of multivariate a.e. (almost everywhere) analyti…
Compressed QMC volume and surface integration on union of balls
Giacomo Elefante, Alvise Sommariva, Marco Vianello
We discuss an algorithm for Tchakaloff-like compression of Quasi-MonteCarlo (QMC) volume/surface integration on union of balls (multibubbles). The key tools are Davis-Wilhelmsen th…