Differential-algebraic equations : a projector based analysis
Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2013. |
| Colección: | Differential-Algebraic Equations Forum
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| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Differential-algebraic equations, a projector based analysis, René Lamour, Roswitha März, Caren Tischendorf, Heidelberg, Springer, 2013, 1 vol. (XXVII - 649 p.), Differential-algebraic equations forum, 978-3-642-27554-8 • Differential-Algebraic Equations: A Projector Based Analysis, Texte imprimé, 9783642275562 • Differential-algebraic equations, a projector based analysis, René Lamour, Roswitha März, Caren Tischendorf, Heidelberg, Springer, 2013, 1 vol. (XXVII - 649 p.), Differential-algebraic equations forum, 978-3-642-27554-8 |
Tabla de Contenidos:
- Notations Introduction Part I. Projector based approach 1 Linear constant coefficient DAEs.-.2 Linear DAEs with variable coefficients 3 Nonlinear DAEs Part II. Index-1 DAEs: Analysis and numerical treatment 4 Analysis 5 Numerical integration 6 Stability issues Part III. Computational aspects 7 Computational linear algebra aspects 8 Aspects of the numerical treatment of higher index DAEs Part IV. Advanced topics 9 Quasi-regular DAEs 10 Nonregular DAEs 11 Minimization with constraints described by DAEs 12 Abstract differential algebraic equations A. Linear Algebra Basics.-.B. Technical Computations C Analysis References Index