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Singular Perturbation Theory [electronic resource] / by Lindsay A. Skinner.

By: Skinner, Lindsay A [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Boston, MA : Springer US, 2011Description: X, 85p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9781441999580.Subject(s): Mathematics | Differential Equations | Mathematics | Approximations and Expansions | Ordinary Differential Equations | Applications of MathematicsDDC classification: 511.4 Online resources: Click here to access online
Contents:
Uniform Expansion -- First Order Differential Equations -- Second Order Differential Equations -- Logarithm Problems -- Oscillation Problems -- References.
In: Springer eBooksSummary: This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems.   A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of  increasing complexity.  Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems. 
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Uniform Expansion -- First Order Differential Equations -- Second Order Differential Equations -- Logarithm Problems -- Oscillation Problems -- References.

This book is a rigorous presentation of the method of matched asymptotic expansions, the primary tool for attacking singular perturbation problems.   A knowledge of conventional asymptotic analysis is assumed. The first chapter introduces the theory and is followed by four chapters of applications to ordinary differential equation problems of  increasing complexity.  Exercises are included as well as several Maple programs for computing the terms of the various asymptotic expansions that arise in solving the problems. 

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