Methods and applications of singular perturbations : boundary layers and multiple timescale dynamics

書誌事項

Methods and applications of singular perturbations : boundary layers and multiple timescale dynamics

Ferdinand Verhulst

(Texts in applied mathematics, 50)

Springer, c2005

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注記

"With 26 illustrations"

Includes bibliographical references (p. [309]-320) and index

内容説明・目次

内容説明

Contains well-chosen examples and exercises A student-friendly introduction that follows a workbook type approach

目次

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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