The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods [electronic resource] /
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.
Main Authors: | Hairer, Ernst. author., Roche, Michel. author., Lubich, Christian. author., SpringerLink (Online service) |
---|---|
Format: | Texto biblioteca |
Language: | eng |
Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
1989
|
Subjects: | Mathematics., Numerical analysis., Numerical Analysis., |
Online Access: | http://dx.doi.org/10.1007/BFb0093947 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
-
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods [electronic resource] /
by: Hairer, Ernst. author., et al.
Published: (1989) -
Implizite Runge-Kutta-Formeln [electronic resource] /
by: Glasmacher, Werner. author., et al.
Published: (1966) -
Implizite Runge-Kutta-Formeln [electronic resource] /
by: Glasmacher, Werner. author., et al.
Published: (1966) -
Geometric Numerical Integration [electronic resource] : Structure-Preserving Algorithms for Ordinary Differential Equations /
by: Hairer, Ernst. author., et al.
Published: (2002) -
Geometric Numerical Integration [electronic resource] : Structure-Preserving Algorithms for Ordinary Differential Equations /
by: Hairer, Ernst. author., et al.
Published: (2002)