The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods
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...
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
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Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Saila: | Lecture notes in mathematics
1409 |
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| Edition sous un autre format: | • The numerical solution of differential-algebraic systems by Runge-Kutta methods, Ernst Hairer, Christian Lubich, Michel Roche, 1989, Berlin, Springer, 1 vol. (VII-139 p.), Lecture notes in mathematics, 3-540-51860-6 • The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods, Texte imprimé, 9783662194782 |
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| 100 | 1 | |a Hairer, Ernst, |d 1949-...., |c mathématicien. | |
| 245 | 1 | 0 | |a The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods |c Ernst Hairer, Michel Roche, Christian Lubich. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1409 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
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| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 650 | |a Analyse numérique | ||
| 650 | |a Équations différentielles |x Solutions numériques | ||
| 650 | |a Équations différentielles algébriques | ||
| 650 | |a Méthode de Runge-Kutta | ||
| 650 | |a Équations différentielles algébriques |x Solutions numériques | ||
| 700 | 1 | |a Lubich, Christian, |d 1959-...., |c mathématicien. |4 aut | |
| 700 | 1 | |a Roche, Michel, |d 1959-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 021318700 |t The numerical solution of differential-algebraic systems by Runge-Kutta methods |f Ernst Hairer, Christian Lubich, Michel Roche |d 1989 |c Berlin |n Springer |p 1 vol. (VII-139 p.) |s Lecture notes in mathematics |z 3-540-51860-6 | |
| 776 | 0 | |t The Numerical Solution of Differential-Algebraic Systems by Runge-Kutta Methods |b Texte imprimé |z 9783662194782 | |
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