The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

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The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods | Ernst Hairer (u. a.) | Taschenbuch | Einband - flex.(Paperback) | Englisch | 1989 | Springer | EAN 9783540518600 | Verantwortliche Person für die EU: Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu Print on Demand. Bestandsnummer des Verkäufers 102141658

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Reseña del editor: 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.