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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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            <a href="https://arxiv.org/abs/2411.13957" target="_blank">New preprint on variational multiscale evolve and filter models for convection dominated flows, by M. Strazzullo, F. Ballarin, T. Iliescu, T. Chacón Rebollo (November 2024).</a>
        
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            <a href="https://arxiv.org/abs/2410.20828" target="_blank">New preprint on unsteady optimal control problems for cardiovascular flows, by S. Rathore, P. C. Africa, F. Ballarin, F. Pichi, M. Girfoglio, G. Rozza (October 2024).</a>
        
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            <a href="https://arxiv.org/abs/2410.02673" target="_blank">New preprint on a priori error bounds for the approximate deconvolution Leray ROM in fluid dynamics, by I. Moore, A. Sanfilippo, F. Ballarin, T. Iliescu (October 2024).</a>
        
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            <a href="https://sites.google.com/unibs.it/semmat/home" target="_blank">I was appointed vice-director of the Seminario Matematico di Brescia (September 2024).</a>
        
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            <a href="https://arxiv.org/abs/2409.00621" target="_blank">New preprint on a priori error bounds for reduced order models based on proper orthogonal decomposition for applications in fluid dynamics, by F. Ballarin and T. Iliescu (September 2024).</a>
        
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            I visited 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://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 Patrick Poetto, "Enhancing Neural Network Training Efficiency: Analysis of Gradient-Based Optimization Techniques". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Oct. 2024).
        * Advisor in the master thesis of Emila Vojkollari, "Analyzing Data of Patients with Coronary Diseases after Angioplasty". Master degree in Data Analytics for Business, Università Cattolica del Sacro Cuore, Milano, Italy (Oct. 2024).
        * Co-advisor in the bachelor thesis of Matilde Tartarini, "Numerical methods for dynamical systems: application to economics models". Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Brescia, Italy (Oct. 2024).
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        :doc:`Read more <students>`

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        :doc:`Events <events>`
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        * Divulgative seminar, Celebration of mind, Università Cattolica del Sacro Cuore, Brescia, Italy (21 Oct. 2024).
        * 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).
        * Minisymposium organizer, `SIAM UQ24 <https://meetings.siam.org/program.cfm?CONFCODE=uq24>`_, Trieste, Italy (27 Feb. 2024 - 1 Mar. 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 "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>`