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The Boundary Function Method for Singular Perturbed Problems

โœ Scribed by Adelaida B. Vasilโ€™eva, Valentin F. Butuzov, Leonid V. Kalachev

Publisher
Society for Industrial Mathematics
Year
1987
Tongue
English
Leaves
236
Series
Studies in Applied and Numerical Mathematics
Edition
illustrated edition
Category
Library
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โœฆ Synopsis

This is the first book published in English devoted solely to the boundary function method, which is one of the asymptotic methods. This method provides an effective and simple way to obtain asymptotic approximations for the solutions of certain ordinary and partial differential equations containing small parameters in front of the highest derivatives. These equations, called singularly perturbed equations, are often used in modeling. In addition to numerous examples, the book includes discussions on singularly perturbed problems from chemical kinetics and heat conduction, semiconductor device modeling, and mathematical biology.

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