The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
Format: Paperback
ISBN13: 9783540518600
Paperback|9783540518600
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Overview
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.
| ISBN-13 | 9783540518600 |
|---|---|
| ISBN-10 | 3540518606 |
| Weight | 2.31 Pounds |
| Dimensions | 6.10 x 0.36 x 9.25 In |
| List Price | $39.99 |
| Edition | 1st Edition |
| Format | Paperback |
|---|---|
| Language | English |
| Pages | x, 146 pages |
| Publisher | Springer |
| Published On | 1989-11-28 |
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