The term differential-algebraic equation was coined to comprise differential equations with constraints (differential equations on manifolds) and singular implicit differential equations. Such problems arise in a variety of applications, e.g. constrained mechanical systems, fluid dynamics, chemical reaction kinetics, simulation of electrical networks, and control engineering. From a more theoretical viewpoint, the study of differential-algebraic problems gives insight into the behaviour of numerical methods for stiff ordinary differential equations. These lecture notes provide a self-contained and comprehensive treatment of the numerical solution of differential-algebraic systems using Runge-Kutta methods, and also extrapolation methods. Readers are expected to have a background in the numerical treatment of ordinary differential equations. The subject is treated in its various aspects ranging from the theory through the analysis to implementation and applications.
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Buchbeschreibung Springer, Berlin ; Heidelberg ; New York ; London ; Paris ;, 1989. Kartoniert. Buchzustand: Gut. Lecture Notes in Mathematics, 1409. VII, 139 S. Orig.-Karton. Sprache: Englisch, graph. Darst. Gutes Exemplar. 800 Gramm. Buch. Artikel-Nr. 30999