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

di Ernst Hairer (Autore)

Christian Lubich (Autore)

Michel Roche (Autore)

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, 1989

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.

• Autore: Ernst Hairer, Christian Lubich, Michel Roche
• Editore: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
• Collana: Lecture Notes in Mathematics
• Anno: 1989
• Rilegatura: Paperback / softback
• Pagine: 146 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783540518600

Testo in English