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Mathematical Analysis, Modelling, and Applications

The activity in mathematical analysis is mainly focussed on ordinary and partial differential equations, on dynamical systems, on the calculus of variations, and on control theory. Connections of these topics with differential geometry are also developed.The activity in mathematical modelling is oriented to subjects for which the main technical tools come from mathematical analysis. The present themes are multiscale analysismechanics of materialsmicromagneticsmodelling of biological systems, and problems related to control theory.The applications of mathematics developed in this course are related to the numerical analysis of partial differential equations and of control problems. This activity is organized in collaboration with MathLab for the study of problems coming from the real world, from industrial applications, and from complex systems.

Advanced Programming

Course material can be found here: https://github.com/pcafrica/advanced_programming_2025-2026

Tue 30 Sep 2025 14:00 - 16:00 128-129

Wed 01 Oct 2025 11:00 - 13:00 005

Tue 07 Oct 2025 14:00 - 16:00 005

Wed 08 Oct 2025 11:00 - 13:00 005

Tue 14 Oct 2025 14:00 - 16:00 005

Wed 15 Oct 2025 11:00 - 13:00 005

Tue 21 Oct 2025 14:00 - 16:00 005

Wed 22 Oct 2025 11:00 - 13:00 005

Tue 28 Oct 2025 14:00 - 16:00 005

Topics in continuum mechanics

This is a 60-hours introductory course on continuum mechanics and its applications. The aim is to provide first year students with a solid understanding of the fundamental principles of the subject.

Advanced FEM Techniques

This an advanced monographic course on the numerical analysis of finite element techniques. Each year, the state-of-the-art of a research level topic is selected and presented with strong interaction with the students.

Numerical Methods for PDEs

This is a Joint course, between SISSA PhD in Mathematical Analysis, Modeling, and Applications, Laurea Magistrale in Matematica, and the Laurea Magistrale in Data Science and Scientific Computing.

Course materials are available on the course github repository.

Syllabus

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