Speaker
Stefano Maset
(Università degli Studi di Trieste)
Description
We investigate the propagation of initial value perturbations along the solution of a linear ordinary differential equation $y'(t) = Ay(t)$. This propagation is analyzed using the relative error rather than the absolute error. Our focus is on the long-term behavior of this relative error, which differs significantly from that of the absolute error. Understanding the long-term behavior provides insights into the growth of the relative error over all times, not just at large times.
Primary author
Stefano Maset
(Università degli Studi di Trieste)