5 citations · 7 across the 8 of their papers we have counts for
8 papers · 1 filter
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…
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 Jacobi…
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…
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…
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…
Modified Patankar Semi-Lagrangian Scheme for the Optimal Control of Production-Destruction systems
Simone Cacace, Alessio Oliviero, Mario Pezzella
In this manuscript, we present a comprehensive theoretical and numerical framework for the control of production-destruction differential systems. The general finite horizon optima…
High order positivity-preserving numerical methods for a non-local photochemical model
Mario Pezzella
In this paper we design high-order positivity-preserving approximation schemes for an integro-differential model describing photochemical reactions. Specifically, we introduce and…
An Integro-differential Model of Cadmium Yellow Photodegradation
Maurizio Ceseri, Roberto Natalini, Mario Pezzella
Many paintings from the 19th century have exhibited signs of fading and discoloration, often linked to cadmium yellow, a pigment widely used by artists during that time. In this wo…