Fr. 36.90

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

Inglese · Tascabile

Spedizione di solito entro 1 a 2 settimane (il titolo viene stampato sull'ordine)

Descrizione

Ulteriori informazioni

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.

Sommario

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.

Dettagli sul prodotto

Autori Ernst Hairer, Christian Lubich, Michel Roche
Editore Springer, Berlin
 
Lingue Inglese
Formato Tascabile
Pubblicazione 05.08.2009
 
EAN 9783540518600
ISBN 978-3-540-51860-0
Pagine 146
Dimensioni 156 mm x 239 mm x 14 mm
Peso 268 g
Illustrazioni X, 146 p.
Serie Lecture Notes in Mathematics
Lecture Notes in Mathematics
Categoria Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi

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