The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods: 1409 - Brossura

Hairer, Ernst

 
9783540518600: The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods: 1409
Brossura
ISBN 10: 3540518606 ISBN 13: 9783540518600
Casa editrice: Springer, 2009

Sinossi

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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Contenuti

Description of differential-algebraic problems.- Runge-Kutta methods for differential-algebraic equations.- Convergence for index 1 problems.- Convergence for index 2 problems.- Order conditions of Runge-Kutta methods for index 2 systems.- Convergence for index 3 problems.- Solution of nonlinear systems by simplified Newton.- Local error estimation.- Examples of differential-algebraic systems and their solution.

Product Description

Numerical Solution Of Differential-Algebraic Systems By Runge-Kutta Methods (Lecture Notes In Mathematics) by Hairer,E., Lubich, C., Roche, M., 9783540518600, Springer, 1989, Paperback

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Editore
Springer
Data di pubblicazione
2009
Lingua
Inglese
ISBN 10 
3540518606
ISBN 13 
9783540518600
Rilegatura
Copertina flessibile
Numero di pagine
156
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
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