Winterschool part II - Advanced numerical methods for hyperbolic equations*

Lecturers: prof. Michael Dumbser (DICAM/UNITN); dr. Saray Busto Ulloa  (DICAM/UITN)

Timetable: 1-5 February 2021

Link to the course website: https://webmagazine.unitn.it/evento/dicam/86741/short-course-on-advanced-numerical-methods-for-hyperbolic-equations

Programme: 

The short course on advanced numerical methods consists of a structured intensive one-week programme of 40 hours of theoretical lectures and computer laboratory exercises on advanced numerical methods for hyperbolic partial differential equations with applications in engineering and science.

The course covers finite volume methods, the exact and approximate solution of the Riemann problem, second order TVD methods, higher order ENO, WENO and discontinuous Galerkin methods, as well as the discretization of non-conservative problems. Special emphasis is put also on numerical methods that are able to handle complex geometries. In particular, unstructured finite volume and discontinuous Galerkin schemes as well as mesh-free particle methods are presented.

The lectures on the theory will be supplemented with laboratory-based computer exercises to provide hands-on experience to all participants on the practical aspects of numerical methods for hyperbolic problems and applications using MATLAB programs specially designed for the course.

The course is primarily designed for PhD students and post-doctoral researchers in applied mathematics, engineering, physics, computer science and other scientific disciplines. The course may also be of interest to senior researchers in industry and research laboratories, as well as to senior academics.

Duration: 40 hours (5 credits)

Registration: All participants (onsite and online) must complete the registration form on the course website. For DICAM Phd students the course is free of charge.