Composite Asymptotic Expansions
The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2013. |
| سلاسل: | Lecture Notes in Mathematics
2066 |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 168 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Composite asymptotic expansions, Augustin Fruchard, Reinhard Schäfke, Heidelberg, Springer, 2013, 1 volume (x-161 pages), Lecture notes in mathematics, 978-3-642-34034-5 |
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| 100 | 1 | |a Fruchard, Augustin, |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Composite Asymptotic Expansions |c Augustin Fruchard, Reinhard Schäfke. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes in Mathematics |v 2066 |x 1617-9692 | |
| 500 | |a L'impression du document génère 168 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Four Introductory Examples Composite Asymptotic Expansions: General Study Composite Asymptotic Expansions: Gevrey Theory A Theorem of Ramis-Sibuya Type Composite Expansions and Singularly Perturbed Differential Equations Applications Historical Remarks 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 The purpose of these lecture notes is to develop a theory of asymptotic expansions for functions involving two variables, while at the same time using functions involving one variable and functions of the quotient of these two variables. Such composite asymptotic expansions (CAsEs) are particularly well-suited to describing solutions of singularly perturbed ordinary differential equations near turning points. CAsEs imply inner and outer expansions near turning points. Thus our approach is closely related to the method of matched asymptotic expansions. CAsEs offer two unique advantages, however. First, they provide uniform expansions near a turning point and away from it. Second, a Gevrey version of CAsEs is available and detailed in the lecture notes. Three problems are presented in which CAsEs are useful. The first application concerns canard solutions near a multiple turning point. The second application concerns so-called non-smooth or angular canard solutions. Finally an Ackerberg-O Malley resonance problem is solved | ||
| 650 | |a Développements asymptotiques | ||
| 650 | |a Équations différentielles |x Théorie asymptotique | ||
| 650 | |a Équations intégrales |x Théorie asymptotique | ||
| 700 | 1 | |a Schäfke, Reinhard, |d 19..-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 166901393 |t Composite asymptotic expansions |f Augustin Fruchard, Reinhard Schäfke |c Heidelberg |n Springer |d 2013 |p 1 volume (x-161 pages) |s Lecture notes in mathematics |z 978-3-642-34034-5 | |
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