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

By:

Verhulst, Ferdinand

Series: Texts in applied mathematics; v. 50Publication details: Springer, 2010. New York:Description: xv, 324 p.: ill.; pb; 24 cmISBN:

9781441919922

Subject(s):

DDC classification:

515.35 VER

Summary: Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates 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 make 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, among them a summary of the Perturbation Theory of Matrices.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.35 VER (Browse shelf(Opens below))	1	Available		029420

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Previous	515.35 ANT Primer of nonlinear analysis	515.35 GRE Applications of green's functions in science and engineering	515.35 KAT Inverse boundary spectral problems	515.35 VER Methods and applications of singular perturbations: boundary layers and multiple timescale dynamics	515.352 BAR Poincare and the three body problem	515.352 CES Asymptotic behavior and stability problems in ordinary differential equations	515.352 HAS Classical methods in ordinary differential equations : with applications to boundary value problems	Next

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

Perturbation theory is the main focus of this workbook. In a systematic introductory manner this book delineates 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 make 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, among them a summary of the Perturbation Theory of Matrices.

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