20 citations · 48 across the 5 of their papers we have counts for
3 papers · 1 filter
Modified Patankar Linear Multistep methods for production-destruction systems
Giuseppe Izzo, Eleonora Messina, Mario Pezzella +1
Modified Patankar schemes are linearly implicit time integration methods designed to be unconditionally positive and conservative. In the present work we extend the Patankar-type a…
The effect of time discretization on the solution of parabolic PDEs with ANNs
Francesco Calabrò, Salvatore Cuomo, Daniela di Serafino +2
We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks, which have a single hidden layer and can be trained at a modest computational c…
A non-standard numerical scheme for an age-of-infection epidemic model
Eleonora Messina, Mario Pezzella, Antonia Vecchio
We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The method is based on a non-standard finite differences…