A5016398745- Numerical methods for differential equations
- Fractional Differential Equations Solutions
- Matrix Theory and Algorithms
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Numerical Methods
- Nonlinear Differential Equations Analysis
- COVID-19 epidemiological studies
- Differential Equations and Boundary Problems
- Evolution and Genetic Dynamics
- Numerical methods in inverse problems
- Advanced Numerical Methods in Computational Mathematics
- Mathematical Biology Tumor Growth
- Stability and Controllability of Differential Equations
- Iterative Methods for Nonlinear Equations
- Model Reduction and Neural Networks
- Dynamics and Control of Mechanical Systems
- Fault Detection and Control Systems
- Machine Learning and ELM
- Vibration and Dynamic Analysis
- Electromagnetic Simulation and Numerical Methods
- Climate Change and Geoengineering
- Seismic Performance and Analysis
- Complex Network Analysis Techniques
- Environmental Philosophy and Ethics
- Mathematical Control Systems and Analysis
University of Naples Federico II
2015-2024
Istituto Nazionale di Alta Matematica Francesco Severi
2020-2023
Istituto per le Applicazioni del Calcolo Mauro Picone
2021
National Research Council
2021
Centrum Wiskunde & Informatica
1998-1999
We investigate the resolution of parabolic PDEs via Extreme Learning Machine (ELMs) Neural Networks. An Artificial Network (ANN) is an interconnected group nodes -where activation functions act- organized in numbered layers. From a mathematical point view, ANN represents combination that linear if only one hidden layer admitted. In present paper, ELMs setting considered, and this gives single admitted can be trained at modest computational cost as compared to Deep Our approach addresses time...
In this paper we propose and study a hybrid discrete in continuous mathematical model of collective motion under alignment chemotaxis effect. Starting from the by Di Costanzo et al (2015a), which Cucker-Smale (Cucker Smale, 2007) was coupled with other cell mechanisms, to describe migration self-organization zebrafish lateral line primordium, introduce simplified coupling between an mechanism acts on system interacting particles. particular rely description agents are entities, while...
We propose an integral model describing epidemic of infectious disease. The is behavioural in the sense that constitutive law for force infection includes a distributed delay, called "information index", describes opinion-driven human changes. information index, turn, contains memory kernel to mimic how individuals maintain past values infection. obtain sufficient conditions endemic equilibrium be locally stable. In particular, we show when infectivity function represented by exponential...
We show that the condition is not necessary, though sufficient, for asymptotic stability of . prove existence a class Volterra difference equations (VDEs) violate this but whose zero solutions are asymptotically stable.
<p style='text-indent:20px;'>We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The is based on non-standard finite differences approximation of the integral term appearing equation. study convergence properties and analysis qualitative behavior solution show that it preserves all basic continuous model with no restrictive conditions step-length <inline-formula><tex-math id="M1">\begin{document}$ h...
In this paper, we study a dynamically consistent numerical method for the approximation of nonlinear integro-differential equation modeling an epidemic with age infection. The discrete scheme is based on direct quadrature methods Gregory convolution weights and preserves, no restrictive conditions step-length integration h, some essential properties continuous system. particular, solution positive bounded and, in cases interest applications, it monotone. We prove order convergence theorem...
In this paper we consider a non-standard discretization to Volterra integro-differential system which includes number of age-of-infection models in the literature. The aim is provide general framework analyze proposed scheme for numerical solution class problems whose continuous dynamic well known literature and allow deeper analysis cases where theory lacks.