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...
Guardat en:
| Autors principals: | , , |
|---|---|
| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edició: | 1st ed. 2013. |
| Col·lecció: | Differential-Algebraic Equations Forum
|
| Accés en línia: | 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 |
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| 100 | 1 | |a Lamour, René, |d 19..- | |
| 245 | 1 | 0 | |a Differential-algebraic equations : |b a projector based analysis |c by René Lamour, Roswitha März, Caren Tischendorf. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Differential-Algebraic Equations Forum |x 2199-840X | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 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 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 model processes subjected to certain constraints in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering and systems biology.DAEs and their more abstract versions in infinite dimensional spaces comprise a great potential for the future mathematical modeling of complex coupled processes.The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and in so doing to motivate further research of this versatile, extraordinary topic from a broader mathematical perspective.The book elaborates on a new general, structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Some issues on numerical integration and computational aspects are also treated in this context | ||
| 700 | 1 | |a März, Roswitha, |d 1940- |4 aut | |
| 700 | 1 | |a Tischendorf, Caren, |d 19..- |4 aut | |
| 776 | 0 | |0 175092737 |t Differential-algebraic equations |o a projector based analysis |f René Lamour, Roswitha März, Caren Tischendorf |c Heidelberg |n Springer |d 2013 |p 1 vol. (XXVII - 649 p.) |s Differential-algebraic equations forum |z 978-3-642-27554-8 | |
| 776 | 0 | |t Differential-Algebraic Equations: A Projector Based Analysis |b Texte imprimé |z 9783642275562 | |
| 776 | 0 | |0 175092737 |t Differential-algebraic equations |o a projector based analysis |f René Lamour, Roswitha März, Caren Tischendorf |c Heidelberg |n Springer |d 2013 |p 1 vol. (XXVII - 649 p.) |s Differential-algebraic equations forum |z 978-3-642-27554-8 | |
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