Fields of Interest and Expertise

Numerical analysis

Reduced order modelling

Computational fluid dynamics

Open-source software development

Teaching

Teaching assistant for course on “Elements of numerical analysis”. Master degree in Mathematics, Università Cattolica del Sacro Cuore, Italy

Teaching assistant for course on “Numerical analysis”. Bachelor degree in Mathematics, Università Cattolica del Sacro Cuore, Italy

Lecturer for course on “Stochastic Processes and Optimization for Machine Learning”. Master degree in Data analytics for business, Università Cattolica del Sacro Cuore, Italy

Past teaching on PhD courses on reduced basis methods and computational fluid dynamics at SISSA, Trieste, Italy

Curriculum Vitae

Francesco Ballarin is a professor working on applied mathematics, in the field of numerical analysis and mathematical modeling for systems governed by partial differential equations.

He graduated in Mathematical Engineering at Politecnico di Milano, defending his BSc thesis in 2009 and MSc thesis in 2011. He then pursued a PhD in Mathematical Models and Methods in Engineering at MOX, Department of Mathematics, Politecnico di Milano, defending his PhD thesis in 2015 under the supervision of Prof. Alfio Quarteroni. After his PhD, he has been post-doctoral research fellow (2015-2018) and Assistant Professor of Numerical Analysis (2018-2021) at SISSA mathLab in the group of Prof. Gianluigi Rozza.

Francesco is at the Department of Mathematics and Physics, Università Cattolica del Sacro Cuore, Brescia, Italy since 2021, initially as Tenure-track Assistant Professor (2021-2024), and afterwards as Associate Professor (2024-today) of Numerical Analysis.

Francesco has been lecturer, teaching assistant or lab assistant for a broad variety of courses in numerical analysis and scientific computing, at either BSc, MSc or PhD level. At UCSC, he currently delivers courses for students from the Faculty of Mathematical, Physical and Natural Sciences and from the Faculty of Economics.

He has been involved in the co-supervision of several students during their BSc, MSc and PhD thesis. He is available to take on new students in Mathematics, Physics, Informatics, Data Science, and related disciplines, who are interested in carrying out their thesis on topics in applied mathematics, scientific computing and numerical analysis. Contact Francesco by email for further information.

His research focuses in particular on reduced order methods (ROMs) for parametrized problems in computational fluid dynamics. Such methods are required by several applications in engineering and life sciences in order to reduce the computational time for the simulation of complex problems. Applications of the developed ROMs can be found in challenging fluid dynamics problems, such as those arising from environmental problems or patient-specific mathematical modelling of the cardiovascular system. He is author of more than 50 publications on numerical analysis, scientific computing and related topics.

Francesco is also a passionate developer of open source software libraries (especially in C++ and Python), that become an integral part of his research activities. The libraries RBniCS, multiphenicsx, FEMlium, FEM on Colab/FEM on Kaggle, and viskex are among his most recent open source projects.

More information and recent news are available at his personal website.

Awards

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Unit

• Cagliari

Publications