2 papers
cs.MS2025
ORTHOCUB: integral and differential cubature rules by orthogonal moments
Laura Rinaldi, Alvise Sommariva, Marco Vianello
We discuss a numerical package, named ORTHOCUB, for the computation of linear functionals of both integral and differential type on multivariate polynomial spaces. The weighted sum…
math.NA2025
Effective numerical integration on complex shaped elements by discrete signed measures
Laura Rinaldi, Alvise Sommariva, Marco Vianello
We discuss a cheap and stable approach to polynomial moment-based compression of multivariate measures by discrete signed measures. The method is based on the availability of an or…