57 citations · 145 across the 18 of their papers we have counts for
18 papers
Lagrange interpolation processes based on the zeros of anti-Gauss Jacobi polynomials
Patricia Díaz de Alba, Luisa Fermo, Valerio Loi +1
This paper introduces and investigates a new Lagrange interpolation process based on the zeros of anti-Gauss Jacobi polynomials. Fundamental properties of anti-Gauss nodes, includi…
Anti-Gauss Lagrange interpolation: Christoffel-Darboux form, barycentric representation, and orthogonal expansion
Patricia Díaz de Alba, Luisa Fermo, Valerio Loi
The paper deals with new formulations of a Lagrange interpolant polynomial based on the nodes of the well-known anti-Gauss rule. A first representation is given in terms of the cla…
Approximation of the Hilbert Transform on the unit circle
Luisa Fermo, Valerio Loi
The paper deals with the numerical approximation of the Hilbert transform on the unit circle using Szegö and anti-Szegö quadrature formulas. These schemes exhibit maximum precision…
A global approximation method for second-kind nonlinear integral equations
Luisa Fermo, Anna Lucia Laguardia, Concetta Laurita +1
A global approximation method of Nyström type is explored for the numerical solution of a class of nonlinear integral equations of the second kind. The cases of smooth and weakly s…
Anti-Gauss cubature rules with applications to Fredholm integral equations on the square
Patricia Diaz de Alba, Luisa Fermo, Giuseppe Rodriguez
The purpose of this paper is to develop the anti-Gauss cubature rule for approximating integrals defined on the square whose integrand function may have algebraic singularities at…
On the error of best polynomial approximation of composite functions
Luisa Fermo, Concetta Laurita, Maria Grazia Russo
The purpose of the paper is to provide a characterization of the error of the best polynomial approximation of composite functions in weighted spaces. Such a characterization is es…
Averaged Nyström interpolants for the solution of Fredholm integral equations of the second kind
Luisa Fermo, Lothar Reichel, Giuseppe Rodriguez +1
Fredholm integral equations of the second kind that are defined on a finite or infinite interval arise in many applications. This paper discusses Nyström methods based on Gauss qua…
A product integration rule on equispaced nodes for highly oscillating integrals
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
This paper provides a product integration rule for highly oscillating integrands, based on equally spaced nodes. The stability and the error estimate are proven in the space of con…
On the numerical solution of Volterra integral equations on equispaced nodes
Luisa Fermo, Domenico Mezzanotte, Donatella Occorsio
In the present paper, a Nystrom-type method for second kind Volterra integral equations is introduced and studied. The method makes use of generalized Bernstein polynomials, define…
Regularized minimal-norm solution of an overdetermined system of first kind integral equations
Patricia Díaz de Alba, Luisa Fermo, Federica Pes +1
Overdetermined systems of first kind integral equations appear in many applications. When the right-hand side is discretized, the resulting finite-data problem is ill-posed and adm…
Scattering data computation for the Zakharov-Shabat system
Luisa Fermo, Cornelis van der Mee, Sebastiano Seatzu
A numerical method to solve the direct scattering problem for the Zakharov-Shabat system associated to the initial value problem for the nonlinear Schroedinger equation is proposed…
A fully-discrete-state kinetic theory approach to traffic flow on road networks
Luisa Fermo, Andrea Tosin
This paper presents a new approach to the modeling of vehicular traffic flows on road networks based on kinetic equations. While in the literature the problem has been extensively…
Emerging problems in approximation theory for the numerical solution of nonlinear PDEs of integrable type
Luisa Fermo, Cornelis Van der Mee, Sebastiano Seatzu
In this paper we present some open problems pertaining to the approximation theory involved in the solution of the important class of Nonlinear Partial Differential Equations (NPDE…
Parameter estimation of monomial-exponential sums
Luisa Fermo, Cornelis Van der Mee, Sebastiano Seatzu
We propose a numerical method, based upon matrix-pencils, for the identification of parameters and coefficients of a monomial-exponential sum. We note that this method can be consi…
On the numerical solution of a boundary integral equation for the exterior Neumann problem on domains with corners
Luisa Fermo, Concetta Laurita
The authors propose a Nystrom method to approximate the solution of a boundary integral equation connected with the exterior Neumann problem for Laplace's equation on planar domain…
A Nystrom method for a boundary integral equation related to the Dirichlet problem on domains with corners
Luisa Fermo, Concetta Laurita
The authors consider the interior Dirichlet problem for Laplace's equation on planar domains with corners. In order to approximate the solution of the corresponding double layer bo…
Fundamental diagrams for kinetic equations of traffic flow
Luisa Fermo, Andrea Tosin
In this paper we investigate the ability of some recently introduced discrete kinetic models of vehicular traffic to catch, in their large time behavior, typical features of theore…
A fully-discrete-state kinetic theory approach to modeling vehicular traffic
Luisa Fermo, Andrea Tosin
This paper presents a new mathematical model of vehicular traffic, based on the methods of the generalized kinetic theory, in which the space of microscopic states (position and ve…