MA6060 Nonlinear Conservation laws

Course Details

Integral and differential forms of conservation laws, Burgers equation, Shock formation, Weak solutions, Entropy conditions, Riemann problem, scalar and non-linear vector examples, Euler equations of an ideal gas, Courant Fredrick Levy conditions, Upwind methods, Conservative schemes, Godunov methods, Riemann solvers.

Course References:

R.J. Leveque, Numerical methods for conservation Laws, Bikhauser Verlag, 1992.