The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409) 1989th Edition by Ernst Hairer (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐A good, cheap textbook but it not contain any useful information for a book on the Runge-Kutta method. Very little was written for an introductory learner.

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Download The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409) 1989th Edition 1989 PDF Free
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409) 1989th Edition 1989 PDF Free Download
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