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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods

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

Roche, Michel
Hairer, Ernst
Lubich, Christian

Paperback

Series: Lecture Notes in Mathematics, Book 1409

General Mathematics

ISBN10: 3540518606
ISBN13: 9783540518600
Publisher: Springer
Published: Nov 28 1989
Pages: 146
Weight: 0.50
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English
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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