26–28 Jan 2026
GSSI
Europe/Rome timezone

Long-time relative error analysis for linear ordinary differential equations with perturbed initial value

28 Jan 2026, 11:15
30m
Ex-ISEF/Building-Main Lecture Hall (GSSI)

Ex-ISEF/Building-Main Lecture Hall

GSSI

Viale Francesco Crispi 7, 67100 L'Aquila AQ
20
Contributed talk Session 5

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)

Presentation materials

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