
Numerical methods for partial differential equations play a central role in modern scientific computing. While classical finite element methods remain widely used, handling complex geometries, coupled systems, and nonlinear phenomena often poses challenges for ensuring accuracy, robustness, and preserving intrinsic physical properties. This Trimester Program aims to bring together experts working on the design of innovative numerical schemes, their rigorous mathematical foundations, and the accurate simulation of real-world systems.
The program begins with a comprehensive one-week introductory school for PhD students and postdocs, offering a unified overview of the three main themes. It then features one conference and two thematic workshops, each focusing on one of the core areas: the design and analysis of nonstandard Galerkin methods, continuous and discrete functional analysis tools for such methods, and advanced discretizations for problems in geophysics, engineering, and the life sciences. The scientific program is complemented by a series of weekly seminars and mini-courses led by participants.
Link to Trimester Program website
Scientific Organizers:
- Paola F. Antonietti (Politecnico di Milano)
- Joscha Gedicke (University of Bonn)
- Lorenzo Mascotto (University of Milano-Bicocca)
Trimester Program Events:
Each week of the Trimester Program includes numerous activities, such as a seminar series, lecture series, reading courses and so on. In addition, there are some major events, one Introductory School, one Conference and two Workshops. The Workshops are aimed at people who are participants in the Trimester Program at that time. It is not possible to apply only for these Workshops. The Summer School is aimed at early-career researchers, especially PhD students and postdocs. There is a separate application platform for this event, which can be found on the School's event page.
- Introductory School (September 20 - 24, 2027)
- Conference: "Nonstandard Galerkin methods" (October 18 - 22, 2027)
- Workshop: "Continuous and discrete functional analysis tools for nonstandard Galerkin methods" (November 15 - 19, 2027)
- Workshop: "Advanced discretization methods with applications to engineering, geophysics, and life sciences" (December 13 - 17, 2027)