Numerical integration of kinetic equations and hyperbolic balance laws

Short description of the research team

Thematic fields of interest/research areas:

The research team has a long-term experience on the numerical integration of kinetic equations and hyperbolic balance laws. The main research topics are the following:

1. Asymptotic preserving numerical methods for balance laws and kinetic equations

2. Well-balanced schemes for balance laws and structure preserving schemes for kinetic equations

3. Optimal control problems for kinetic equations and mean field games

4. Uncertainty quantification for hyperbolic and kinetic equations

5. High order numerical methods for hyperbolic conservation laws

6. HPC implementation on modern massively parallel supercomputers and applications.

Manager/head of the team: Lorenzo Pareschi

Team members: Lorenzo Pareschi, Giacomo Dimarco, Walter Boscheri at University of Ferrara and Giacomo Albi (University of Verona), Mattia Zanella (University of Pavia).

Research infrastructures:

- Department of Mathematics and Computer Science,

- Center for Modeling Computing and Statistics

For computer science facilities see: http://dmi.unife.it/en/department/facilities/computer-science-facilities

Prerequisites of the trainee researcher:

Level of education: “Marie Curie Individual Fellowship” Action requirements
Research experience: Graduate in Mathematics, Physics, Engineering or Computer Science with knowledge of applied partial differential equations and numerical methods
Required working language: English/French/Italian

Contacts: Prof. Lorenzo Pareschi

Further useful information: Other useful information on the team research are found at www.lorenzopareschi.com