output
20232025
most citedModified Patankar Linear Multistep methods for production-destruction systems

10 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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5 papers · 1 filter

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…

math.NA2025★ 1 cited

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…

math.NA2024★ 10 cited

Modified Patankar Linear Multistep methods for production-destruction systems

Giuseppe Izzo, Eleonora Messina, Mario Pezzella +1

Modified Patankar schemes are linearly implicit time integration methods designed to be unconditionally positive and conservative. In the present work we extend the Patankar-type a…

math.NA2024★ 2 cited

Optimal Polynomial Smoothers for Parallel AMG

Pasqua D'Ambra, Fabio Durastante, Salvatore Filippone +2

In this paper, we explore polynomial accelerators that are well-suited for parallel computations, specifically as smoothers in Algebraic MultiGrid (AMG) preconditioners. These acce…