3 citations · 9 across the 22 of their papers we have counts for
24 papers · 1 filter
A simple algorithm for the summation of alternating series
Eleonora Denich, Paolo Novati, Alvise Sommariva
This paper deals with the computation of the sum of alternating series, whose general terms can be expressed by means of analytic functions. After rewriting the series as a weighte…
Comparing algebraic cubature rules on spline curved elements
A. Sommariva, M. Vianello
We compare four methods for the construction of algebraic cubature rules on planar elements, whose boundary is tracked by splines. The methods, that we have developed over the last…
On modified anti-Gaussian rules for Jacobi weight functions
Eleonora Denich, Paolo Novati, Alvise Sommariva
Anti-Gaussian formulas represent an efficient tool for a dynamical estimation of the error of the underlying Gaussian rule. When applied to the Jacobi weight function it is known t…
On the role of weak Marcinkiewicz-Zygmund constants in polynomial approximation by orthogonal bases
Congpei An, Alvise Sommariva, Marco Vianello
We compute numerically the Marcinkiewicz-Zygmund constants of cubature rules, with a special attention to their role in polynomial approximation by orthogonal bases. We test…
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…
Unisolvence of randomized MultiQuadric Kansa collocation for convection-diffusion with mixed boundary conditions
Maryam Mohammadi, Alvise Sommariva, Marco Vianello
We make a further step in the open problem of unisolvence for unsymmetric Kansa collocation, proving that the MultiQuadric Kansa method with fixed collocation points and random fic…