We focus on presenting recent advances in the numerical modeling for stiff systems of ordinary differential equations and related applications. Under a methodological point of view, we present a theory of multivalue collocation methods free from order reduction, which is typical of Runge-Kutta methods. Next, we aim to discuss the role of stiff problems in understanding the diffusion of fake information in a given country and the subsequent re-affirmation of the truth. We show that the stiffness ratio (associated to the spectrum of the Jacobian of the vector field) allows to understand how fast is the transit of fake news in a given country, providing a numerical evidence based on real data.
Stiiff problems nowadays: novel numerics and fake news
Dajana Conte;Giuseppe Giordano;Beatrice Paternoster
2023-01-01
Abstract
We focus on presenting recent advances in the numerical modeling for stiff systems of ordinary differential equations and related applications. Under a methodological point of view, we present a theory of multivalue collocation methods free from order reduction, which is typical of Runge-Kutta methods. Next, we aim to discuss the role of stiff problems in understanding the diffusion of fake information in a given country and the subsequent re-affirmation of the truth. We show that the stiffness ratio (associated to the spectrum of the Jacobian of the vector field) allows to understand how fast is the transit of fake news in a given country, providing a numerical evidence based on real data.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
