15 citations · 34 across the 12 of their papers we have counts for
13 papers
A new fast numerical method for the generalized Rosen-Zener model
Christian Bonhomme, Stefano Pozza, Niel Van Buggenhout
In quantum mechanics, the Rosen-Zener model represents a two-level quantum system. Its generalization to multiple degenerate sets of states leads to larger non-autonomous linear sy…
A new Legendre polynomial-based approach for non-autonomous linear ODEs
Stefano Pozza, Niel Van Buggenhout
We introduce a new method with spectral accuracy to solve linear non-autonomous ordinary differential equations (ODEs) of the kind $ \frac{d}{dt}\tilde{u}(t) = \tilde{f}(t) \tilde{…
A new closed-form expression for the solution of ODEs in a ring of distributions and its connection with the matrix algebra
Stefano Pozza
A new expression for solving homogeneous linear ODEs based on a generalization of the Volterra composition was recently introduced. In this work, we extend such an expression, show…
A new matrix equation expression for the solution of non-autonomous linear systems of ODEs
Stefano Pozza, Niel Van Buggenhout
The solution of systems of non-autonomous linear ordinary differential equations is crucial in a variety of applications, such us nuclear magnetic resonance spectroscopy. A new met…
The *-product approach for linear ODEs: a numerical study of the scalar case
Stefano Pozza, Niel Van Buggenhout
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization…
A -product solver with spectral accuracy for non-autonomous ordinary differential equations
Stefano Pozza, Niel Van Buggenhout
A new method for solving non-autonomous ordinary differential equations is proposed, the method achieves spectral accuracy. It is based on a new result which expresses the solution…
A Lanczos-type procedure for tensors
S. Cipolla, S. Pozza, M. Redivo-Zaglia +1
The solution of linear non-autonomous ordinary differential equation systems (also known as the time-ordered exponential) is a computationally challenging problem arising in a vari…
The Short-term Rational Lanczos Method and Applications
Davide Palitta, Stefano Pozza, Valeria Simoncini
Rational Krylov subspaces have become a reference tool in dimension reduction procedures for several application problems. When data matrices are symmetric, a short-term recurrence…
Lanczos-like algorithm for the time-ordered exponential: The -inverse problem
Pierre-Louis Giscard, Stefano Pozza
The time-ordered exponential of a time-dependent matrix is defined as the function of that solves the first-order system of coupled linear different…
A Lanczos-like method for non-autonomous linear ordinary differential equations
Pierre-Louis Giscard, Stefano Pozza
The time-ordered exponential is defined as the function that solves a system of coupled first-order linear differential equations with generally non-constant coefficients. In spite…
The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization
Stefano Pozza, Miroslav S. Pranić
The concept of Gauss quadrature can be generalized to approximate linear functionals with complex moments. Following the existing literature, this survey will revisit such generali…
On the stability of network indices defined by means of matrix functions
Stefano Pozza, Francesco Tudisco
Identifying important components in a network is one of the major goals of network analysis. Popular and effective measures of importance of a node or a set of nodes are defined in…
Inexact Arnoldi residual estimates and decay properties for functions of non-Hermitian matrices
Stefano Pozza, Valeria Simoncini
We derive a priori residual-type bounds for the Arnoldi approximation of a matrix function and a strategy for setting the iteration accuracies in the inexact Arnoldi approximation…