I regularly supervise bachelor (Laurea), master (Laurea Magistrale), and PhD theses in numerical analysis and scientific computing.
At the bachelor level, proposed topics typically build on core courses in numerical analysis, including subjects such as approximation theory, numerical methods for ordinary differential equations, and the discretization of simple models arising from applications. Master and PhD theses focus on more advanced themes, in particular the numerical approximation of partial differential equations, with applications to problems in materials science and engineering. These projects may involve both theoretical and computational aspects, depending on the student's interests and background.
I am also available to act as academic tutor for curricular internships required within the master degree in mathematics at the University of Bologna, whether or not they are directly linked to a thesis project. Both theses and internships may include opportunities for stays abroad.
I welcome motivated students interested in these areas to get in touch to discuss possible projects.
Since joining the Department of Mathematics of the University of Bologna, I have supervised 7 bachelor theses. Below is a selection of recent titles, intended to provide prospective students with a concrete idea of the range of topics:
Approximation of roots, discrete dynamical systems, and fractals (March 2026)
Approximation of functions: a comparison of classical and machine learning-based methods (March 2026)
The eigenvalue problem for the Laplacian and its finite element approximation (October 2025)
Numerical methods for differential equations: finite elements vs. machine learning-based methods (September 2025)
Numerical analysis of the heat equation with random data (September 2025)
Finite elements for the Helmholtz equation (December 2024)
Numerical methods for uncertainty quantification (December 2024)
Since joining the Department of Mathematics of the University of Bologna, I have been the academic tutor of 2 curricular internships within the Laurea Magistrale in Mathematics (Curriculum Advanced Mathematics for Applications).
During my employment at the University of Strathclyde (2022-2023), I have supervised 3 one-semester projects of students in 4th year of BSc or MMath mathematics-based degrees and I have been personal development advisor of 6 undergraduate students.
During my employment at TU Wien (2013-2022), I have co-supervised 2 master theses and 2 bachelor theses.
Hywel Normington: Numerical analysis and simulation of magnetoelastic, antiferromagnetic, and ultrafast magnetic materials, Department of Mathematics and Statistics, University of Strathclyde (October 2022 - April 2026).