Numerical integration of differential-algebraic equations with harmless critical points [Elektronische Ressource] / Rakporn Dokchan. Gutachter: R. März ; W. Römisch ; E. Weinmüller

Numerical Integration of Differential-AlgebraicEquations with Harmless Critical PointsDISSERTATIONzur Erlangung des akademischen Gradesdoctor rerum naturalium(Dr. rer. nat.)im Fach Mathematikeingereicht an derMathematisch-Naturwissenschaftlichen Fakultät IIHumboldt-Universität zu BerlinvonM. Sc. Rakporn DokchanPräsident der Humboldt-Universität zu Berlin:Prof. Dr. Jan-Hendrik OlbertzDekan der Mathematisch-Naturwissenschaftlichen Fakultät II:Prof. Dr. Elmar KulkeGutachter:1. Prof. Dr. R. März2. Prof. Dr. W. Römisch3. Prof. Dr. E. Weinmüllereingereicht am: 12. Januar 2011Tag der mündlichen Prüfung: 21. Mai 2011AcknowledgementMy first and sincere thanks are given to my supervisor Prof. Dr. Roswitha März,for accepting me, giving me the chance to enter the world of differential-algebraicequations and to write this thesis, and also for her invaluable support and guidance.I especially want to thank Asst. Prof. Dr. Pichan Sawangwong for suggesting meto study in Berlin and Dr. Rene Lamour for fruitful discussions and suggestionson implementation issues.Special thanks go to Stefan Vigerske, my office mate at the Humboldt Universityof Berlin, for helpful review of the thesis and comments. I wish to thank allmy colleagues at the Humboldt University of Berlin for the pleasant workingatmosphere. I greatly appreciate the help of Patcharee Larpsuriyakul, DechaDechtrirat, Jarungjit Parnjai, Maneenate Wechakama and Thitinan Tantidham.