An iterative method for systems of nonlinear hyperbolic equations (Q1174532)

The essence of the presented method is the possibility that the algorithm can be parallelized to a high degree. This is reached by the linearizing of the nonlinear hyperbolic system. Then the differential equations are solved iteratively. This is analogous to the Gauss-Seidel method for solving linera algebraic systems. The convergence of this iteration is proved. Some numerical experiments are given for the two-dimensional Burger's equation. The differential equations are approximated by a second-order MacCormack scheme and a first-order upwind scheme.