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)
(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
Exercise 1   Proposed Solution
Exercise 2   Proposed Solution  f90 file for partial solution
Exercise 3
Exercise 4
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