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Francesco Ballarin
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        Francesco Ballarin is Associate Professor of Numerical Analysis at the Department of Mathematics and Physics, 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 `Department of Mathematics and Physics <https://www.dmf.unicatt.it/>`_, `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:`suitcase;sd-text-primary` `Department of Mathematics and Physics <https://www.dmf.unicatt.it/>`_
            :fas:`building-columns;sd-text-primary` `Università Cattolica del Sacro Cuore <https://www.unicatt.it/>`_
            :fas:`location-dot;sd-text-primary` `via Garzetta 48, I-25133 Brescia, Italy <https://maps.google.com/?q=via Garzetta 48, I-25133 Brescia, 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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            I am visiting Virtualmech and the group of Prof. ‪Tomás Chacón Rebollo at Universidad de Sevilla for four weeks, within the ARIA project (July 2024).
        
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            <a href="https://github.com/FEniCS/governance/blob/master/people.md" target="_blank">I joined the Steering Council of the FEniCS Project (November 2023).</a>
        
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            <a href="https://arxiv.org/abs/2309.01004" target="_blank">New preprint on reduced order modelling for thermo-poroelasticity problems solved by means of iterative schemes, by F. Ballarin, S. Lee, and S.-Y. Yi (September 2023).</a>
        
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            <a href="https://www.francescoballarin.it/software.html" target="_blank">Learn more about the open-source software libraries I develop.</a>
        
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            Thesis projects available at Università Cattolica del Sacro Cuore under my supervision. Contact me if you are interested!
        

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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 "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).
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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 Cinzia Freretti, "Computational fluid dynamics for blood flows". Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2024).
        * Co-advisor in the bachelor thesis of Meryem Chibou, "Gauss elimination via the Bareiss algorithm". Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Jul. 2024).
        * Co-advisor in the master thesis of Rebecca Faustini, "Spectral element methods for fourth order elliptic problems". Master degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Apr. 2024).
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        :doc:`Read more <students>`

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        :doc:`Events <events>`
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        * Talk in a minisymposium, `9th European Congress of Mathematics <https://ecm2024sevilla.com/>`_, Sevilla, Spain (15-19 Jul. 2024).
        * Talk, `FEniCS 2024 <https://fenicsproject.org/fenics-2024/>`_, Simula Research Laboratory, Oslo, Norway (12-14 Jun. 2024).
        * Invited seminar, `Data-Driven Physical Simulations seminar series <https://www.librom.net/ddps.html>`_, online (22 Feb. 2024).
        * Invited seminar, `Numerical Analysis of Galerkin ROMs seminar series <https://na-g-roms.github.io>`_, online (30 Jan. 2024).
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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 "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.
        * Principal investigator of "Reduced order modelling for numerical simulation of partial differential equations", D.1 project by Università Cattolica del Sacro Cuore, 2022-2024.
        
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        :doc:`Read more <projects>`