3 papers
math.NA2026
Multi-Order Monte Carlo IMEX hierarchies for uncertainty quantification in multiscale hyperbolic systems
Giulia Bertaglia, Walter Boscheri, Lorenzo Pareschi
We introduce a novel Multi-Order Monte Carlo approach for uncertainty quantification in the context of multiscale time-dependent partial differential equations. The new framework l…
math.NA2025
Multi-fidelity and multi-level Monte Carlo methods for kinetic models of traffic flow
Elisa Iacomini, Lorenzo Pareschi
In traffic flow modeling, incorporating uncertainty is crucial for accurately capturing the complexities of real-world scenarios. In this work we focus on kinetic models of traffic…
q-bio.PE2024
New Trends on the Systems Approach to Modeling SARS-CoV-2 Pandemics in a Globally Connected Planet
Giulia Bertaglia, Andrea Bondesan, Diletta Burini +3
This paper presents a critical analysis of the literature and perspective research ideas for modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic pop…