Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations

'[This book] is indisputably the best existing book on DAEs. It has structured the most important results on solvability properties, numerical methods, and software for DAEs. It is well written and describes difficulties with DAEs in a comprehensible way. It does not require any prior knowledge of the subject by the reader. The book is recommended to anyone who wants an introduction to DAEs. It is also a book that everyone who performs reseach on DAEs should have.' Anders Barrlund, OPTIMA

• Preface to the Classics EditionPrefaceChapter 1: Introduction. Why DAE's?Basic Types of DAE'sApplicationsOverviewChapter 2: Theory of DAE's. IntroductionSolvability and the IndexLinear Constant Coefficient DAE'sLinear Time Varying DAE'sNonlinear SystemsChapter 3: Multistep Methods. IntroductionBDF ConvergenceBDF Methods, DAE's, and Stiff ProblemsGeneral Linear Multistep MethodsChapter 4: One-Step Methods. IntroductionLinear Constant Coefficient SystemsNonlinear Index One SystemsSemi-Explicit Nonlinear Index Two SystemsOrder Reduction and StiffnessExtrapolation MethodsChapter 5: Software and DAE's. IntroductionAlgorithms and Strategies in DASSLObtaining Numerical SolutionsSolving Higher Index SystemsChapter 6: Applications. IntroductionSystems of Rigid BodiesTrajectory Prescribed Path ControlElectrical NetworksDAE's Arising from the Method of LinesBibliographyChapter 7: The DAE Home PageIntroductionTheoretical AdvancesNumerical Analysis AdvancementsSoftware Tools for DAE-Solving EnvironmentsThe DASSL FamilyBibliographyIndex.