217 2002        IGPM217.pdf
TITLE Convergence of Approximate Solutions of Conservation Laws
AUTHORS Sebastian Noelle , Michael Westdickenberg
ABSTRACT In this paper we consider convergence of approximate solutions of conservation laws. We start with an overview over the historical developments since the 1950s, and the analytical tools used in this context. Then we present some of our own results on the convergence of numerical approximations, discuss recent related work and open problems.
KEYWORDS Weak Solution, Entropy Solution, Entropy Condition, Kinetic Formulation, Young Measure
DOI 10.1007/978-3-642-55627-2_21
PUBLICATION Geometric Analysis and Nonlinear Partial Differential Equations, pp 417–430, (2003)