Finite difference methods for 1st Order in time, 2nd order in space, hyperbolic systems used in numerical relativity [Elektronische Ressource] / von Mihaela Chirvasa

Finite Difference Methodsfor 1st Order in Time, 2nd Order in SpaceHyperbolic Systemsused in Numerical RelativityDissertationvonMihaela Chirvasaeingereicht bei derMathematisch-Naturwissenschaftlichen Fakult¨atder Universit¨at Potsdamdurchgefu¨hrt in Golm amMax Planck Institut fu¨r GravitationsphysikAlbert Einstein Institutunter der Betreuung vonProf. Dr. Bernard SchutzPotsdam, July 2009This work is licensed under a Creative Commons License: Attribution - Noncommercial - Share Alike 3.0 Germany To view a copy of this license visit http://creativecommons.org/licenses/by-nc-sa/3.0/de/deed.en Published online at the Institutional Repository of the University of Potsdam: URL http://opus.kobv.de/ubp/volltexte/2010/4213/ URN urn:nbn:de:kobv:517-opus-42135 http://nbn-resolving.org/urn:nbn:de:kobv:517-opus-42135 AcknowledgmentsI would like to thank my supervisor Prof. Bernard Schutz for his help andenthusiasm during this work. Special thanks go also to Prof. Edward Seidelfor his guidance in the early stages of the thesis.I am very much indebted to Sascha Husa, Manuel Tiglio, Bela Szil´agyi,Denis Pollney and Steve White for their invaluable support and advice.It was a privilege to work at the Max Planck Institute for GravitationalPhysics and I am grateful for having this chance.Finally, I would like to thank Thomas and Yanis for their moral supportover the last years.