Band 1409
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Aus der Reihe
Lecture Notes in Mathematics
-
- Englisch ausgewählt
Fr. 39.90
inkl. gesetzl. MwSt.,
Beschreibung
Produktdetails
Einband
Taschenbuch
Erscheinungsdatum
28.11.1989
Abbildungen
X, 146 p.
Verlag
Springer BerlinSeitenzahl
146
Maße (L/B/H)
23.5/15.5/0.9 cm
Gewicht
248 g
Auflage
1989
Sprache
Englisch
ISBN
978-3-540-51860-0
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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