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

Christian Lubich Ernst Hairer Michel Roche

ISBN 10: 3540518606 / ISBN 13: 9783540518600

Edité par Springer, 1989

A propos de cet article

pp. 156.

N° de réf. du vendeur 263075580

Détails bibliographiques

• Titre: The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
• Éditeur: Springer
• Date de parution: 1989
• Langue: anglais
• ISBN à 10 chiffres: 3540518606
• ISBN à 13 chiffres: 9783540518600
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

Synopsis

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.