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

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Lecture Notes in Mathematics, 1409
Release date:	November 1989
First published:	1989
Authors:	Ernst Hairer • Christian Lubich • Michel Roche
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	146
Edition:	1989 ed.
ISBN-13:	978-3-540-51860-0
Categories:	Books > Science & Mathematics > Mathematics > Numerical analysis
LSN:	3-540-51860-6
Barcode:	9783540518600

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