Random sampling and unisolvent interpolation by almost everywhere analytic functions

F Dell'Accio, A Sommariva, M Vianello - Applied Mathematics Letters, 2023 - Elsevier
Random sampling and unisolvent interpolation by almost everywhere analytic functions -
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Low cardinality positive interior cubature on NURBS-shaped domains

A Sommariva, M Vianello - BIT Numerical Mathematics, 2023 - Springer
In this paper we propose an algorithm that computes a low cardinality PI-type (Positive
weights and Interior nodes) algebraic cubature rule of degree n, with at most (n+ 1)(n+ 2)/2 …

Tchakaloff-like compression of QMC volume and surface integration on the union of balls

G Elefante, A Sommariva, M Vianello - Calcolo, 2024 - Springer
Tchakaloff-like compression of QMC volume and surface integration on the union of balls |
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Evaluating Lebesgue constants by Chebyshev polynomial meshes on cube, simplex and ball

L Bialas-Ciez, DJ Kenne, A Sommariva… - arXiv preprint arXiv …, 2023 - arxiv.org
We show that product Chebyshev polynomial meshes can be used, in a fully discrete way, to
evaluate with rigorous error bounds the Lebesgue constant, ie the maximum of the …

Software for Approximation 2022 (SA2022)

R Cavoretto, A De Rossi - Dolomites Research Notes on Approximation, 2022 - iris.unito.it
The guest editors provide a summary of the main facts about the Workshop “Software for
Approximation 2022”(SA2022) held at the Department of Mathematics “Giuseppe Peano” of …

Damped Bloch Wave Propagation in Periodic Architected Viscoelastic Materials: A Fourier-Based Scheme with Quasi-Monte Carlo Integration

F Fantoni, G Elefante, ML De Bellis… - Available at SSRN … - papers.ssrn.com
This paper investigates the behavior of microstructured viscoelastic metamaterials with
complex topologies, focusing on their wave propagation characteristics, specifically the …

Una suite MATLAB per la compressione QMC su domini bivariati

M SANTORO - thesis.unipd.it
In questa tesi definiamo una shell Matlab che si interfacci con il codice CQMC per definire
formule di cubatura su domini bivariati aventi una geometria complicata. A tal proposito, una …