Finite Differences/Finite Volumes
& Conservations laws
References Books
:
Randall J. LeVeque Finite
Difference Methods for Ordinary and Partial Differential
Equations - Steady State and Time Dependent Problems
Randall J.LeVeque , Finite
Volume Methods for Hyperbolic Problems Cambridge
University Press, 2002
Godlewski E. Raviart P.-A.: Numerical
Approximation Of Hyperbolic Systems Of Conservation Laws
Online references :
Tim
Warburton Lectures
Lloyd
N.
Trefethen : Finite Difference
J.
Droniou
: Finite Volume (pdf file poly)
B. Nkonga : Conservations laws and
Finite volume (french)
Lectures:
(see here for the full
demonstration of the Lax_Wendroff theorem by J. Droniou )
New
Exercises
Maximum principle and numerical
stability
Files : Mid term Exam 2013,
Mid term Exam 2013
Exercises:
Exercise 1 Proposed
Solution
Exercise 2 Proposed
Solution f90 file for partial
solution
Exercise 3
Exercise 4
Homeworks:
Homework
I
Homework Ib
Homework
II
Additional F90
files:
F90 file for Evaluation of the order of
Accuracy (ODE)
Practicals projects :
Projet 1 and 2