Workshop on
advanced NUmerical MEthods for Real-world Applications (NUMERA)

About NUMERA Workshop

Important Dates

Registration opening and abstract submission (Poster session): March 15, 2026
Abstract submission deadline: April 15, 2026 April 30, 2026
Author notification: May 1, 2026 May 5, 2026
Registration deadline: May 31, 2026

Keynote Speakers

Alessandro Alla
Sapienza, University of Rome

Learning pattern formation in reaction-diffusion systems

Reaction-diffusion systems provide a powerful framework for describing pattern formation phenomena arising in biology, chemistry, and materials science. In this talk, we present recent advances in data-driven and machine-learning-based methodologies for the analysis and reduction of nonlinear reaction–diffusion models exhibiting diffusion-driven instabilities and Turing patterns.
We present an efficient data-driven regression approach for constructing reduced-order models (ROMs) of reaction–diffusion systems from high-fidelity simulation data. The ROMs are learned non-intrusively through polynomial reduced models, without requiring explicit knowledge of the underlying governing equations or numerical solvers. The learning procedure is formulated as a low-cost least-squares problem in a reduced-order subspace identified via Proper Orthogonal Decomposition (POD). Numerical experiments on classical benchmark systems, including the Schnakenberg and Mimura–Tsujikawa models, demonstrate that higher-order surrogate models significantly improve predictive accuracy while maintaining low computational cost. The proposed framework provides a flexible and efficient approach for the analysis of complex spatio-temporal dynamics.
We then address the inverse problem of recovering model parameters associated with prescribed Turing morphologies using Physics-Informed Neural Networks (PINNs). Starting from sparse experimental or synthetic observations, the proposed PINN-based methodology accurately reconstructs both the spatial structures and the corresponding model parameters across several classes of patterns.

Emiliano Cristiani
IAC - CNR

Microscopic and macroscopic mathematical models for vehicular and pedestrian traffic

In this talk we present some recent advances in vehicular and pedestrian traffic modelling. We first consider a pedestrian model characterized by the fact that the maximal crowd density - typically a fixed parameter in the models - is instead variable in space and time, and its dynamics is governed by a dedicated equation. We also consider a vehicular traffic model on a road network with vehicle-to-vehicle communications and rational decision-making.

Invited Speakers

Mattia Corti

MOX Laboratory
Politecnico di Milano

Serena G. De Benedictis

Dept. of Mathematics
University of Bari Aldo Moro

Flavia Esposito

Dept. of Mathematics
University of Bari Aldo Moro

Greta Malaspina

Dept. of Ind. Engineering
University of Florence

Federico Pichi

International School for Advanced Studies - SISSA

Matteo Piu

Dept. of Computer Science
University of Verona

Tommaso Tenna

Dept. of Mathematics
La Sapienza University

Workshop Program

Date: June 15, 2026
Time: 09:00 - 17:30
Location: University of Bari Aldo Moro, Dept. of Mathematics, Aula VIII

Poster Session

• On the localization of the multinode Shepard method - Francesco Dell’Accio
• Sample Size Recalculation in Clinical Trials: A Comparative Analysis of Variance Estimation Methods - Marika Mansueto
• Overcoming the Limitations of Latent Gaussian Models: A Systematic Review of INLA-based Hybrid Machine Learning - Maria Grazia Manco
• Augmented Data Prediction in Physics-Informed Neural Networks Using a Predictor–Corrector Framework - Mariateresa Bruni
• Polynomial Approximation of Caputo Fractional Derivatives via a Constrained Mock-Chebyshev Least Squares Method - Francesco Larosa
• The univariate multinode Shepard method for the Caputo fractional derivatives: from Approximation to the solution of Bagley-Torvik equation - Filomena Di Tommaso
• Numerical techniques for multispectral image demosaicing - Flavia Fazio
• Geospatial Foundations Models with Low Rank Adaptation - Davide Rizzi
• Multi-hazard Resilience Assessment of Road Networks: The Case Study of the Municipality of Messina - Niloofar Kheirkhahan
• Automated Framework for 4D Bi-Atrial Surface Reconstruction from Routine Cine CMR Acquisitions - Emanuele C. Amato
• West Nile Virus in Puglia: One Health Insights from Mosquito Surveillance, Animal Reservoirs, and Predictive Risk Mapping - Niccolò Maldera
• Multi-Objective Optimization for Physics-Informed Neural Network and applications - Liliana Lafiosca
• A Multimodal Computational Framework for Robust Similarity-based Drug Repurposing - Samantha Bove

Organizing Committee

Grazia Gargano

University of Bari Aldo Moro

Marta Menci

Campus Bio-Medico di Roma

Gaetano Settembre

University of Bari Aldo Moro

Nicoletta Del Buono

University of Bari Aldo Moro

Registration

Registration is free of charge (but mandatory) for all participants.

During the registration you can also submit an abstract for Poster Presentation, that will be evaluated by the Scientific Committee. Abstracts must not exceed one page, using the LaTeX template available here.

Please note: Registration will be completed through a Google Form. You will be required to upload your abstract file (PDF format) during the registration process.

To register, please fill out the Google Form registration.

Venue

The workshop venue will be in the Department of Mathematics, located in the Campus Ernesto Quagliarello, Via E. Orabona, 4, Bari, Italy

Please read about the venue in the Dept. of Mathematics webpage.