Convergence of Approximate Solutions of Conservation Laws

Sebastian Noelle () and Michael Westdickenberg ()
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Sebastian Noelle: Rheinisch-Westfälische-Technische Hochschule Aachen, Institut für Geometrie und Praktische Mathematik
Michael Westdickenberg: Rheinische Friedrich-Wilhelms-Universität Bonn, Institut für Angewandte Mathematik

A chapter in Geometric Analysis and Nonlinear Partial Differential Equations, 2003, pp 417-430 from Springer

Abstract: Summary 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 (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55627-2_21

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DOI: 10.1007/978-3-642-55627-2_21

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