ENGLISH

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

By Ernst Hairer , Christian Lubich (auth.) , Michel Roche

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1989
ISBN
9780387518602, 0-387-51860-6
DOI
10.1007/BFb0093947
LCC
QA3 .L28 no. 1409,QA372.5 .L28 no. 1409
Open Library ID
OL2200393M
Language
english
Format
DJVU
Filesize
952 kB (974639 bytes)
Series
Lecture Notes in Mathematics 1409
Edition
1
Pages
146\152
Library
mexmat
Time added
2009-07-20 03:45:11
Numerical Analysis

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.

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