Francesco Ballarin
Associate Professor of Numerical Analysis at the Department of Mathematics and Physics, Università Cattolica del Sacro Cuore.
Research interests
Numerical analysis
Reduced order modelling
Computational fluid dynamics
Open-source software development
Highlights
Lead developer of RBniCS - reduced order modelling in FEniCS, 2015-ongoing.
Lead developer of multiphenics/multiphenicsx - easy prototyping of multiphysics problems in FEniCS/FEniCSx, 2016-ongoing.
Lead developer of FEMlium - interactive visualization of finite element simulations on geographic maps with folium, 2021-ongoing.
Lead developer of FEM on Colab/FEM on Kaggle, 2021-ongoing.
Lead developer of viskex - interactive visualization for firedrake and FEniCSx, 2023-ongoing.
Maria Strazzullo, Francesco Ballarin, Traian Iliescu, and Tomás Chacón Rebollo. Variational multiscale evolve and filter strategies for convection-dominated flows. Computer Methods in Applied Mechanics and Engineering, 438:117811, 2025. arXiv:2411.13957, doi:10.1016/j.cma.2025.117811.
Donato Cerrone, Davide Riccobelli, Piermario Vitullo, Francesco Ballarin, Jacopo Falco, Francesco Acerbi, Andrea Manzoni, Paolo Zunino, and Pasquale Ciarletta. Patient-specific prediction of glioblastoma growth via reduced order modeling and neural networks. Submitted, 2024. arXiv:2412.05330.
Surabhi Rathore, Pasquale Claudio Africa, Francesco Ballarin, Federico Pichi, Michele Girfoglio, and Gianluigi Rozza. Projection-based reduced order modelling for unsteady parametrized optimal control problems in 3d cardiovascular flows. Submitted, 2024. arXiv:2410.20828.
Lecturer for course on “Elements of numerical analysis”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2025).
Lecturer for course on “Computational fluid dynamics”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2024).
Lecturer for course on “Numerical analysis”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Fall 2024 + Spring 2025).
Lecturer for course on “Stochastic processes and optimization for machine learning”. Master degree in Data analytics for business, Università Cattolica del Sacro Cuore, Italy (Fall 2024).
Advisor in the Ph.D. thesis of Anna Sanfilippo, “Regularization Techniques for Reduced Order Models in Convection-Dominated Flows”. Ph.D. in Mathematics, Università di Trento, Italy (Apr. 2025).
Advisor in the master thesis of Anuja Saira Abraham, “Skin Cancer Prediction: A comparative analysis of CNN, VGG, AlexNet and ResNet Deep Learning models”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Feb. 2025).
Advisor in the master thesis of Riccardo Carotenuto, “Efficiency of neural networks: an approach with ReLU and Adam”. Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Feb. 2025).
Organizing committee, FEniCS 2025, Groningen, The Netherlands (18-20 Jun. 2025).
Talk in a minisymposium, XII International Conference on Adaptive Modeling and Simulation ADMOS 2025, Barcelona, Spain (9-11 Jun. 2025).
Minisymposium organizer, XII International Conference on Adaptive Modeling and Simulation ADMOS 2025, Barcelona, Spain (9-11 Jun. 2025).
Organizing committee, YoungPeople4Math 2025, Brescia, Italy (20 May 2025).
Member and unit leader of “ROMEU: Reduced Order Models for Environmental and Urban flows”, PRIN 2022 PNRR, 2023-2025.
Member of “Mathematical models for viscoelastic biological matter”, PRIN 2022, 2023-2025.
Member of “Metodi numerici per lo studio di strutture geometriche parametriche complesse”, INdAM GNCS 2023, 2023.
Member and unit leader of “ARIA: Accurate ROMs for Industrial Applications”, MSCA-RISE-2019, 2022-2024.