Methods and Applications of Singular Perturbations : Boundary Layers and Multiple Timescale Dynamics

Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differ...

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Detalles Bibliográficos
Autor principal: Verhulst, Ferdinand, 1939-
Formato: Livre numérique
Lenguaje:Anglais
Publicado: New York, NY : Springer New York [20..].
Cham : Springer Nature
Edición:1st ed. 2005.
Colección:Texts in Applied Mathematics 50
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:• Methods and Applications of Singular Perturbations, Texte imprimé, 9780387502144
• Methods and Applications of Singular Perturbations, Texte imprimé, 9781441919922
• Methods and applications of singular perturbations, boundary layers and multiple timescale dynamics, Ferdinand Verhulst, New York, Springer, 2005, 1 vol. (XV-324 p.), Texts in applied mathematics, 0-387-22966-3
• Methods and Applications of Singular Perturbations, Texte imprimé, 9780387502144
• Methods and Applications of Singular Perturbations, Texte imprimé, 9781441919922
• Methods and applications of singular perturbations, boundary layers and multiple timescale dynamics, Ferdinand Verhulst, New York, Springer, 2005, 1 vol. (XV-324 p.), Texts in applied mathematics, 0-387-22966-3
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245 1 0 |a Methods and Applications of Singular Perturbations :  |b Boundary Layers and Multiple Timescale Dynamics   |c by Ferdinand Verhulst. 
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505 1 |a Basic Material Approximation of Integrals Boundary Layer Behaviour Two-Point Boundary Value Problems Nonlinear Boundary Value Problems Elliptic Boundary Value Problems Boundary Layers in Time Evolution Equations with Boundary Layers The Continuation Method Averaging and Timescales Advanced Averaging Averaging for Evolution Equations Wave Equations on Unbounded Domains. 
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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 Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background makes this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, such as the summary of the Perturbation theory of Matrices. Detailed illustrations, stimulating examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields. 
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