Ernst Hairer

(Author)

The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (1989)Paperback - 1989, 28 November 1989

The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (1989)
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Part of Series
Lecture Notes in Mathematics
Print Length
146 pages
Language
English
Publisher
Springer
Date Published
28 Nov 1989
ISBN-10
3540518606
ISBN-13
9783540518600

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.

Product Details

Authors:
Ernst HairerChristian LubichMichel Roche
Book Edition:
1989
Book Format:
Paperback
Country of Origin:
DE
Date Published:
28 November 1989
Dimensions:
23.39 x 15.6 x 0.84 cm
ISBN-10:
3540518606
ISBN-13:
9783540518600
Language:
English
Location:
Berlin, Heidelberg
Pages:
146
Publisher:
Weight:
226.8 gm

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