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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
Clasificación:Libro Electrónico
Autor principal: Verhulst, Ferdinand (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2005.
Edición:1st ed. 2005.
Colección:Texts in Applied Mathematics, 50
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Methods and Applications of Singular Perturbations  |h [electronic resource] :  |b Boundary Layers and Multiple Timescale Dynamics /  |c by Ferdinand Verhulst. 
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505 0 |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. 
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. 
650 0 |a Differential equations. 
650 0 |a Mathematical physics. 
650 0 |a Dynamical systems. 
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650 2 4 |a Numerical Analysis. 
650 2 4 |a Applications of Mathematics. 
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