14 citations · 26 across the 4 of their papers we have counts for
9 papers
Efficient computation of the sinc matrix function for the integration of second-order differential equations
Lidia Aceto, Fabio Durastante
This work deals with the numerical solution of systems of oscillatory second-order differential equations which often arise from the semi-discretization in space of partial differe…
Theoretical error estimates for computing the matrix logarithm by Padé-type approximants
Lidia Aceto, Fabio Durastante
In this article, we focus on the error that is committed when computing the matrix logarithm using the Gauss--Legendre quadrature rules. These formulas can be interpreted as Padé a…
Efficient computation of the Wright function and its applications to fractional diffusion-wave equations
Lidia Aceto, Fabio Durastante
In this article, we deal with the efficient computation of the Wright function in the cases of interest for the expression of solutions of some fractional differential equations. T…
Exponentially convergent trapezoidal rules to approximate fractional powers of operators
Lidia Aceto, Paolo Novati
In this paper we are interested in the approximation of fractional powers of self-adjoint positive operators. Starting from the integral representation of the operators, we apply t…
Fast and accurate approximations to fractional powers of operators
Lidia Aceto, Paolo Novati
In this paper we consider some rational approximations to the fractional powers of self-adjoint positive operators, arising from the Gauss-Laguerre rules. We derive practical error…
Padé-type approximations to the resolvent of fractional powers of operators
Lidia Aceto, Paolo Novati
We study a reliable pole selection for the rational approximation of the resolvent of fractional powers of operators in both the finite and infinite dimensional setting. The analys…