Introduction to Asymptotic Methods

Introduction to Asymptotic Methods
Автор
 
Год
 
Страниц
 
272
ISBN
 
1584886773
Издатель
 
Chapman & Hall/CRC
Категория
 
Поступления - 2008 г.

Содержание:

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Описание:

Among the theoretical methods for solving many problems of applied mathematics, physics, and technology, asymptotic methods often provide results that lead to obtaining more effective algorithms of numerical evaluation. Presenting the mathematical methods of perturbation theory, "Introduction to Asymptotic Methods" reviews the most important methods of singular perturbations within the scope of application of differential equations. The authors take a challenging and original approach based on the integrated mathematical-analytical treatment of various objects taken from interdisciplinary fields of mechanics, physics, and applied mathematics. This new hybrid approach will lead to results that cannot be obtained by standard theories in the field. Emphasizing fundamental elements of the mathematical modeling process, the book provides comprehensive coverage of asymptotic approaches, regular and singular perturbations, one-dimensional non-stationary non-linear waves, Pad?...

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