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Francesco Ballarin
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        Francesco Ballarin is Associate Professor of Numerical Analysis at the Faculty of Mathematical, Physical and Natural Sciences, Università Cattolica del Sacro Cuore.

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    affiliation
    contact
    events
    projects
    publications
    software
    students
    teaching

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        :doc:`Affiliation <affiliation>`
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        Associate Professor of Numerical Analysis at the `Faculty of Mathematical, Physical and Natural Sciences <https://brescia.unicatt.it/facolta/scienze-matematiche-fisiche-e-naturali>`_, `Università Cattolica del Sacro Cuore <https://www.unicatt.it/>`_.
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        :doc:`Read more <affiliation>`

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        Research interests
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        * Numerical analysis
        * Reduced order modelling
        * Computational fluid dynamics
        * Open-source software development

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        :doc:`Contact <contact>`
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            :fas:`user;sd-text-primary` Francesco Ballarin
            :fas:`building-columns;sd-text-primary` `Università Cattolica del Sacro Cuore <https://www.unicatt.it/>`_
            :fas:`location-dot;sd-text-primary` `Department of Mathematics and Physics <https://dipartimenti.unicatt.it/dmf>`_, `via Garzetta 48, I-25133 Brescia, Italy <https://maps.google.com/?q=via Garzetta 48, I-25133 Brescia, Italy>`_
            :fas:`location-dot;sd-text-primary` `Department of Mathematics for Economic, Financial and Actuarial Sciences <https://dipartimenti.unicatt.it/dimsefa>`_, `via Necchi 9, I-20123 Milano, Italy <https://maps.google.com/?q=via Necchi 9, I-20123 Milano, Italy>`_
            :fas:`at;sd-text-primary` `francesco.ballarin@unicatt.it <mailto:francesco.ballarin@unicatt.it>`_
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        :doc:`Read more <contact>`


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    Highlights
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            <a href="https://www.mate.polimi.it/biblioteca/add/qmox/48-2025.pdf" target="_blank">New preprint on proving the inf-sup condition for the semidiscrete HiMod reduction of Stokes problems, by E. Temellini, F. Ballarin, T. Chacón Rebollo, S. Perotto (August 2025).</a>
        
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            <a href="https://arxiv.org/abs/2508.04082" target="_blank">New preprint on global-in-time iterative decoupled POD-Galerkin reduced order models for linear poroelasticity, by H. Gu, F. Ballarin, M. Cai, J. Li (August 2025).</a>
        
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            <a href="https://qa.debian.org/developer.php?login=francesco.ballarin%40unicatt.it" target="_blank">I joined the Debian Project as Debian Developer (July 2025).</a>
        
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            <a href="https://centridiricerca.unicatt.it/mathex" target="_blank">I was appointed director of MATHEX, the research center of Università Cattolica on applications of mathematics and computer science (May 2025).</a>
        

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        :doc:`Software <software>`
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        * Lead developer of `RBniCS - reduced order modelling in FEniCS <https://www.rbnicsproject.org>`_, 2015-ongoing.
        * Lead developer of `multiphenics/multiphenicsx - easy prototyping of multiphysics problems in FEniCS/FEniCSx <https://multiphenics.github.io>`_, 2016-ongoing.
        * Lead developer of `FEMlium - interactive visualization of finite element simulations on geographic maps with folium <https://femlium.github.io>`_, 2021-ongoing.
        * Lead developer of `FEM on Colab/FEM on Kaggle <https://fem-on-colab.github.io>`_, 2021-ongoing.
        * Lead developer of `viskex - interactive visualization for firedrake and FEniCSx <https://viskex.github.io>`_, 2023-ongoing.
        
        
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        :doc:`Read more <software>`

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        :doc:`Publications <publications>`
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        :doc:`Read more <publications>`

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        :doc:`Teaching <teaching>`
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        * Lecturer for course on "Elements of numerical analysis". Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy (Spring 2025).
        * Lecturer for course on "Interdisciplinarity in science". Post-graduate A28 program for middle school teachers, 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).
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        :doc:`Read more <teaching>`

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        :doc:`Students <students>`
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        * Advisor in the master thesis of Sveva Maria Martilotti, "Deep Learning for breast cancer diagnosis: a comparison of optimizers in a Convolutional Neural Network". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Sep. 2025).
        * Advisor in the master thesis of Sara Pascali, "Neural Networks for Predicting Tennis Match Outcome". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Sep. 2025).
        * Co-advisor in the master thesis of Aurora Bodei, "Mathematical models and simulation of hemolysis". Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Sep. 2025).
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        :doc:`Read more <students>`

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        :doc:`Events <events>`
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        * Organizing committee, `FEniCS 2025 <https://fenicsproject.org/fenics-2025>`_, Groningen, The Netherlands (18-20 Jun. 2025).
        * Talk in a minisymposium, `XII International Conference on Adaptive Modeling and Simulation ADMOS 2025 <https://admos2025.cimne.com/>`_, Barcelona, Spain (9-11 Jun. 2025).
        * Minisymposium organizer, `XII International Conference on Adaptive Modeling and Simulation ADMOS 2025 <https://admos2025.cimne.com/>`_, Barcelona, Spain (9-11 Jun. 2025).
        * Organizing committee, `YoungPeople4Math 2025 <https://sites.google.com/unibs.it/semmat/youngpeople4math2025>`_, Brescia, Italy (20 May 2025).
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        :doc:`Read more <events>`

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        :doc:`Projects <projects>`
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        * 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 <https://project.inria.fr/aria/>`_", MSCA-RISE-2019, 2022-2024.
        
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        :doc:`Read more <projects>`