The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods PDF
by Ernst Hairer, Christian Lubich, Michel Roche
Part of the Lecture Notes in Mathematics series
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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540468325
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:14/11/2006
- Category:
- ISBN:9783540468325
