French version
MASTER ''Mathematical Modelling''
Ecole Polytechnique and Sorbonne Université
M2 (second year): course taught by G. Allaire for the academic year 2021-2022
Theoretical and Numerical Analysis of Hyperbolic Systems of Conservation Laws
This course is devoted to hyperbolic systems of conservation laws,
the most famous example of which is gaz dynamic (studied
during the course). Both theoretical and numerical aspects
are emphasized during each class of three hours. There are
therefore a double table of contents which are followed in
parallel.
Theoretical part
Numerical part
First day of class: Thursday, October 21, 2021, from 09h30 to 12h30, at CMAP, Ecole Polytechnique.
Some material for the course can be found at:
the Moodle web page of the course where you can access if you are a regularly registered student.
The final exam will take place on Thursday, January 6th, 2022, from 9h30 to 12h30,
at CMAP in Ecole Polytechnique, seminar room, 3rd floor, wing 0 (the usual class room).
Written exams of the previous years :
2010,
2018,
2019,
2020,
2021.
More exams in French:
there.
Bibliography
Computer programs
Below is a list of a few simple programs, written in SCILAB
(freely distributed by INRIA ; see
Scilab
) which are illustrative
of this course. These routines come with no warranty and have not been updated since many new versions of Scilab (sorry about that). Thank you for reporting any
bug to
gregoire.allaire_AT_polytechnique.fr
).
List of SCILAB routines.