Research project

PRIN 2017 - 2017KKJP4X_003 - Emiliano Cristiani (DIT.AD021.096)

Thematic area

Engineering, ICT and technologies for energy and transportation

Project area

Matematica Applicata (DIT.AD021)

Structure responsible for the research project

Institute for applied mathematics "Mauro Picone" (IAC)

Project manager

EMILIANO CRISTIANI
Phone number: 0649937367
Email: e.cristiani@iac.cnr.it

Abstract

The project deals with the development of innovative techniques for the numerical solution of evolutionary
partial differential equations, concentrating in particular on the numerical treatment of mathematical
models described by hyperbolic and kinetic equations. Specifically, the main research topics of the project are the following:
A1 Asymptotic preserving (AP) methods for multiscale problems
A2 High-order semi-Lagrangian (SL) schemes
A3 Well balanced (WB) and structure preserving (SP) schemes
A4 Optimal control problems and mean-field games (MFG)
A5 Dispersive and highly oscillatory waves
A6 Uncertainty Quantification (UQ)
A7 High performance computational fluid dynamics
A8 Modeling and simulation of traffic flow and crowd dynamics

Six strongly interconnected units will contribute to this project. They are formed by several researchers (19
with permanent positions), sharing similar interests and with complementary skills.

Start date of activity

21/05/2019

Keywords

numerical analysis, scientific computing, partial differential equations

Last update: 10/05/2024