Capturing the diffusive behavior of the multiscale linear transport equations by Asymptotic-Preserving Convolutional DeepONets
In this paper, we introduce two types of novel Asymptotic-Preserving Convolutional Deep
Operator Networks (APCONs) designed to solve the multiscale time-dependent linear …
Operator Networks (APCONs) designed to solve the multiscale time-dependent linear …
Asymptotic-preserving neural networks for multiscale kinetic equations
In this paper, we present two novel Asymptotic-Preserving Neural Networks (APNNs) for
tackling multiscale time-dependent kinetic problems, encompassing the linear transport …
tackling multiscale time-dependent kinetic problems, encompassing the linear transport …
New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet
G Bertaglia, A Bondesan, D Burini, R Eftimie… - arXiv preprint arXiv …, 2024 - arxiv.org
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 …
modeling the epidemics caused by the SARS-CoV-2 virus. It goes beyond deterministic …
Asymptotic-Preserving Convolutional DeepONets Capture the Diffusive Behavior of the Multiscale Linear Transport Equations
In this paper, we introduce two types of novel Asymptotic-Preserving Convolutional Deep
Operator Networks (APCONs) designed to address the multiscale time-dependent linear …
Operator Networks (APCONs) designed to address the multiscale time-dependent linear …
Modelling contagious viral dynamics: a kinetic approach based on mutual utility
The time evolution of a contagious viral disease is modeled as the dynamic progression of
different classes of populations that interact pairwise, aiming to improve their condition with …
different classes of populations that interact pairwise, aiming to improve their condition with …
A PINN approach for the online identification and control of unknown PDEs
Physics-Informed Neural Networks (PINNs) have revolutionized solving differential
equations by integrating physical laws into neural network training. This paper explores …
equations by integrating physical laws into neural network training. This paper explores …
Solving inverse and forward problems of multiscale epidemic spread with neural networks
G Bertaglia - PROCEEDINGS OF SIMAI 2023-THE XVI BIANNUAL …, 2023 - unibas.it
To account for spatial heterogeneity, the spatial spread of an infectious disease can be
described by a class of multiscale systems of partial differential equations, in which a portion …
described by a class of multiscale systems of partial differential equations, in which a portion …