Singularly Perturbed Boundary-Value Problems
It is well known that many phenomena in biology, chemistry, engineering, physics canbedescribedbyboundaryvalueproblemsassociatedwithvarioustypes ofp- tial di?erential equations or systems. When we associate a mathematical model with a phenomenon, we generally try to capture what is essential, retain...
Tallennettuna:
| Päätekijät: | , |
|---|---|
| Aineistotyyppi: | Livre numérique |
| Kieli: | Anglais |
| Julkaistu: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Painos: | 1st ed. 2007. |
| Sarja: | International Series of Numerical Mathematics
156 |
| Aiheet: | |
| Linkit: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Huomautus: |
L'impression du document génère 237 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Singularly perturbed Boundary-Value problems, Luminiţa Barbu and Gheorghe Moroşanu, Basel, Birkhäuser, Springer, 2007, 1 vol. (XIII-230 p.), International series of numerical mathematics, 978-3-7643-8330-5 |
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| 001 | 939874 | ||
| 008 | 080505q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123731984 | ||
| 020 | |a 9783764383312 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 084 | |a 35-02. 2010 | ||
| 084 | |a 35B25. 2010 | ||
| 084 | |a 35C20. 2010 | ||
| 084 | |a 35J25. 2010 | ||
| 084 | |a 35K20. 2010 | ||
| 084 | |a 35K55. 2010 | ||
| 084 | |a 35L20. 2010 | ||
| 084 | |a 35L70. 2010 | ||
| 100 | 1 | |a Barbu, Lumini—ta. | |
| 245 | 1 | 0 | |a Singularly Perturbed Boundary-Value Problems |c Lumini—ta Barbu and Gheorghe Moro—sanu. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Basel : |b Birkhäuser Basel. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a International Series of Numerical Mathematics |v 156 |x 2296-6072 | |
| 500 | |a L'impression du document génère 237 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | 1 | |a Preliminaries Regular and Singular Perturbations Evolution Equations in Hilbert Spaces Singularly Perturbed Hyperbolic Problems Presentation of the Problems Hyperbolic Systems with Algebraic Boundary Conditions Hyperbolic Systems with Dynamic Boundary Conditions Singularly Perturbed Coupled Boundary Value Problems Presentation of the Problems The Stationary Case The Evolutionary Case Elliptic and Hyperbolic Regularizations of Parabolic Problems Presentation of the Problems The Linear Case The Nonlinear Case | |
| 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 It is well known that many phenomena in biology, chemistry, engineering, physics canbedescribedbyboundaryvalueproblemsassociatedwithvarioustypes ofp- tial di?erential equations or systems. When we associate a mathematical model with a phenomenon, we generally try to capture what is essential, retaining the important quantities and omitting the negligible ones which involve small par- eters. The model that would be obtained by maintaining the small parameters is called the perturbed model, whereas the simpli?ed model (the one that does not includethesmallparameters)iscalledunperturbed(orreducedmodel). Ofcourse, the unperturbed model is to be preferred, because it is simpler. What matters is that it should describefaithfully enoughthe respectivephenomenon, which means that its solution must be close enough to the solution of the corresponding perturbed model. This fact holds in the case of regular perturbations (which are de?ned later). On the other hand, in the case of singular perturbations, things get morecomplicated. If we refer to aninitial-boundary value problem,the solutionof theunperturbed problemdoes notsatisfy ingeneralallthe originalboundary c- ditions and/or initial conditions (because some of the derivatives may disappear byneglecting the small parameters). Thus, somediscrepancymay appear between the solution of the perturbed model and that of the corresponding reduced model. Therefore, to ?ll in this gap, in the asymptotic expansion of the solution of the perturbed problem with respect to the small parameter (considering, for the sake of simplicity, that we have a single parameter), we must introduce corrections (or boundary layer functions). Morethanhalfacenturyago,A. N | ||
| 650 | |a Problèmes aux limites |x Théorie asymptotique | ||
| 650 | |a Perturbations singulières (mathématiques) | ||
| 650 | |a Problèmes aux limites non linéaires | ||
| 700 | 1 | |a Moro—sanu, Gheorghe. |4 aut | |
| 776 | 0 | |0 128090863 |t Singularly perturbed Boundary-Value problems |f Luminiţa Barbu and Gheorghe Moroşanu |c Basel |n Birkhäuser |n Springer |d 2007 |p 1 vol. (XIII-230 p.) |s International series of numerical mathematics |z 978-3-7643-8330-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-7643-8331-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-NL3FK0PF-T |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747878358 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-7643-8331-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:75089086X |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-7643-8331-2 |z Accès INSA CVL | |
| 997 | |0 939874 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||