AMCS 333 Hyperbolic Conservation Laws and Godunov-type Methods

The course covers theory and algorithms for the numerical solution of linear and nonlinear hyperbolic PDEs, with applications including fluid dynamics, elasticity, acoustics, electromagnetics, shallow water waves and traffic flow. The main concepts include: characteristics; shock and rarefaction waves; weak solutions; entropy; the Riemann problem; finite volume methods; Godunov's method; TVD methods and high order methods; stability, accuracy and convergence of numerical solutions.




AMCS 231, AMCS 252