TY  - BOOK
AU  - 
ED  - SpringerLink (Online service)
TI  - Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics 
T2  - Texts in Applied Mathematics,
SN  - 9780387283135
AV  - QA372 
U1  - 515.352 23
PY  - 2005///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Differentiable dynamical systems
KW  - Differential Equations
KW  - Differential equations, partial
KW  - Numerical analysis
KW  - Mathematical physics
KW  - Ordinary Differential Equations
KW  - Partial Differential Equations
KW  - Mathematical Methods in Physics
KW  - Dynamical Systems and Ergodic Theory
KW  - Numerical Analysis
KW  - Applications of Mathematics
N1  - 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; ZDB-2-SMA
N2  - 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
UR  - http://dx.doi.org/10.1007/0-387-28313-7
ER  -