The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409)
ISBN-13:
9783540518600
ISBN-10:
3540518606
Edition:
1989
Author:
Ernst Hairer
Publication date:
1989
Publisher:
Springer
Format:
Paperback
146 pages
Category:
Number Systems
,
Mathematics
,
Pure Mathematics
FREE US shipping
Book details
ISBN-13:
9783540518600
ISBN-10:
3540518606
Edition:
1989
Author:
Ernst Hairer
Publication date:
1989
Publisher:
Springer
Format:
Paperback
146 pages
Category:
Number Systems
,
Mathematics
,
Pure Mathematics
Summary
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods (Lecture Notes in Mathematics, 1409) (ISBN-13: 9783540518600 and ISBN-10: 3540518606), written by authors
Ernst Hairer, was published by Springer in 1989.
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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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