TY  - BOOK
AU  - Verhulst,Ferdinand
ED  - SpringerLink (Online service)
TI  - Methods and Applications of Singular Perturbations: Boundary Layers and Multiple Timescale Dynamics 
T2  - Texts in Applied Mathematics,
SN  - 9780387283135
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  - 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
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  -