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 …

Solving non-autonomous systems of ordinary differential equations leads to consider a new
product of bivariate distributions called the⋆ product in the literature. This product, distinct …

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 {u}(t) …

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 …

We present the first formulation of the optimal polynomial approximation of the solution of
linear non-autonomous systems of ODEs in the framework of the so-called*-product. This …

We propose a new approach for computing the action of the matrix exponential over a
vector. The approach is based on a Legendre polynomial expansion in the framework of the …

We present the first formulation of the optimal polynomial approximation of the solution of
linear non-autonomous systems of ODEs in the framework of the so-called $\star $-product …

While graph theory is a well established field of research in mathematics, there is no
dedicated theory for graph walks. In the present work we show that such a theory is not only …

We describe, discuss, and compare classes of methods for the numerical solution of non-
autonomous linear ODEs using problems coming from Nuclear magnetic resonance (NMR) …