3 citations · 4 across the 9 of their papers we have counts for
9 papers
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…
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…
Some notes on the trapezoidal rule for Fourier type integrals
Eleonora Denich, Paolo Novati
This paper deals with the error analysis of the trapezoidal rule for the computation of Fourier type integrals, based on two double exponential transformations. The theory allows t…
A fast and simple algorithm for the computation of the Lerch transcendent
Eleonora Denich, Paolo Novati
This paper deals with the computation of the Lerch transcendent by means of the Gauss-Laguerre formula. An a priori estimate of the quadrature error, that allows to compute the num…
Error estimates for a Gaussian rule involving Bessel functions
Eleonora Denich
This paper deals with the estimation of the quadrature error of a Gaussian formula for weight functions involving fractional powers, exponentials and Bessel functions of the first…
A fast and accurate numerical approach for electromagnetic inversion
Eleonora Denich, Paolo Novati, Stefano Picotti
This paper deals with the solution of Maxwell's equations to model the electromagnetic fields in the case of a layered earth. The integrals involved in the solution are approximate…
A Gauss Laguerre approach for the resolvent of fractional powers
Eleonora Denich, Laura Grazia Dolce, Paolo Novati
This paper introduces a very fast method for the computation of the resolvent of fractional powers of operators. The analysis is kept in the continuous setting of (potentially unbo…
A Gaussian method for the operator square root
Eleonora Denich, Paolo Novati
We consider the approximation of the inverse square root of regularly accretive operators in Hilbert spaces. The approximation is of rational type and comes from the use of the Gau…
Gaussian rule for integrals involving Bessel functions
Eleonora Denich, Paolo Novati
In this work we develop the Gaussian quadrature rule for weight functions involving fractional powers, exponentials and Bessel functions of the first kind. Besides the computation…