The Neumerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods at Meripustak

The Neumerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods

Books from same Author: Springer

Books from same Publisher: Springer

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  • General Information  
    Author(s)Springer
    PublisherSpringer
    EditionSpringer
    ISBN9783540518600
    Pages146
    BindingHardback
    LanguageEnglish
    Publish YearNovember 1989

    Description

    Springer The Neumerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods by Springer

    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.show more