Multidimensional systems of hyperbolic conservation laws, numerical schemes, and characteristic theory [Elektronische Ressource] : connections, differences, and numerical comparison / vorgelegt von Tim Kröger

Multidimensional systems ofhyperbolic conservation laws,numerical schemes,and characteristic theory|Connections, di erences,and numerical comparisonTim Kroger.Multidimensional systems ofhyperbolic conservation laws,numerical schemes,and characteristic theory|Connections, di erences,and numerical comparisonVon der Fakultat fur Mathematik, Informatik und Naturwissenschaften der Rheinisch-WestfalischenTechnischen Hochschule Aachen zur Erlagung desakademischen Grades eines Doktors derNaturwissenschaften genehmigte Dissertationvorgelegt vonDiplom-Mathematiker Tim Krogeraus HamburgBerichter:Universitatsprofessor Dr. Sebastian NoelleUniversitatsprofessorin Dr. Maria Luk acov aTag der mundlichen Prufung: 16. Juli 2004 Diese Dissertation ist auf den Internetseitender Hochschulbibliothek online verfugbar..AcknowledgementsThe present dissertation was partially funded by the DFG-priorityresearch program ‘Analysis and Numerics for Conserva-tion Laws’ (ANumE). I would like to thank the Deutsche For-schungsgemeinschaft for this kind of support. The remaining part ofmy position was nanced by the ‘Institut fur Geometrie undPraktische Mathematik’ (IGPM) of the RWTH Aachen, whoalso provided the necessary infrastructure for the preparation of thisthesis. I would like to thank them as well.