The numerical solution of differential-algebraic systems by Runge-Kutta methods. / / Ernst Hairer, Michel Roche, Christian Lubich
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| Autore: |
Hairer E (Ernst)
|
| Titolo: |
The numerical solution of differential-algebraic systems by Runge-Kutta methods. / / Ernst Hairer, Michel Roche, Christian Lubich
|
| Pubblicazione: | Berlin, Germany : , : Springer-Verlag, , [1989] |
| ©1989 | |
| Edizione: | 1st ed. 1989. |
| Descrizione fisica: | 1 online resource (X, 146 p.) |
| Disciplina: | 511.4 |
| Soggetto topico: | Differential-algebraic equations - Numerical solutions |
| Numerical analysis | |
| Runge-Kutta formulas | |
| Persona (resp. second.): | LubichChristian <1959-> |
| RocheMichel <1959-> | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | Numerical solution of differential-algebraic systems by Runge-Kutta Methods |
| ISBN: | 3-540-46832-3 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466626303316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 1409.