AbstractsLaw & Legal Studies

Abstract

This thesis studies an approximate solution, called relaxation approximation, to a 2x2 triangular system of hyperbolic conservation laws. The system of interest is first approximated by a particular set of smooth functions. A finite difference discretization of these functions is then used to construct a numerical scheme. Using the theory of compensated compactness, we show that the scheme produces a sequence of approximate solutions that converges to a weak solution of the triangular system.