activity
20242026
collaborators

9 papers

math.NA2026

A Rational Discrete Collocation Method for Second Kind Fredholm Equations

Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1

In this work we present a novel discrete collocation method for the numerical solution of Fredholm integral equations of the second kind in the space of continuous functions equipp…

math.NA2026

De la Vallée Poussin type approximation for solving some Fredholm integral equations

Domenico Mezzanotte, Donatella Occorsio, Mario Pezzella +1

In the present paper, we introduce a numerical method for second-kind Fredholm integral equations (FIEs) based on de la Vallée Poussin-type (VP) polynomial approximations at Jacob…

q-bio.QM2026

EPITIME: A Computational Framework for Integral Epidemic Models with Structure-Preserving Discretizations

Bruno Buonomo, Eleonora Messina, Claudia Panico +2

We present EPITIME (EPidemic Integral models TIMe profile Explorer), a computational framework for the simulation of two classes of integral epidemic models: an age of infection mo…

math.NA2026

Finite elements for the space approximation of a differential model for salts crystallization

Alessandra Aimi, Gabriella Bretti, Giulia Di Credico +3

This article investigates a space-time differential model related to the degradation of stone artifacts caused by exposure to air and atmospheric agents, which specifically lead to…

math.NA2025

A Structure-Preserving Rational Integrator for the Replicator Dynamics on the Probability Simplex

Mario Pezzella

In this work, we introduce a quadratically convergent and dynamically consistent integrator specifically designed for the replicator dynamics. The proposed scheme combines a two-st…

math.NA2025

Data-Informed Mathematical Characterization of Absorption Properties in Artificial and Natural Porous Materials

Elishan C. Braun, Gabriella Bretti, Melania Di Fazio +2

In this work, we characterize the water absorption properties of selected porous materials through a combined approach that integrates laboratory experiments and mathematical model…