The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Paperback) (ISBN-13: 9783540518600)

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.

Author: Ernst Hairer, Christian Lubich, Michel Roche
ISBN-10: 3540518606
ISBN-13: 9783540518600
Publisher: Springer
Language: English
Published: 11/28/1989
Pages: 146
Format: Paperback
Weight: 0.50lbs
Size: 9.21h x 6.14w x 0.33d