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the numerical solution of differential-algebraic systems by runge-kutta methods (en Inglés)
Hairer,Lubich,Roche (Autor)
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the numerical solution of differential-algebraic systems by runge-kutta methods (en Inglés) - hairer,lubich,roche
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Origen: Estados Unidos
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Reseña del libro "the numerical solution of differential-algebraic systems by runge-kutta methods (en Inglés)"
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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