Name: The Boundary Function Method for Singular Perturbation Problems (en Inglés)
SKU: 67262440
Price: 155.16 USD
Availability: InStock
Author: Adelaide B. Vasil'eva;Valentin F. Butuzov;Leonid V. Kalachev

portada The Boundary Function Method for Singular Perturbation Problems (en Inglés)

The Boundary Function Method for Singular Perturbation Problems (en Inglés)

Formato

Libro Físico

Editorial

SIAM - Society for Industrial and Applied Mathematics

Autor

Adelaide B. Vasil'eva;Valentin F. Butuzov;Leonid V. Kalachev

Colección

Studies in Applied and Numerical Mathematics

Año

1995

Idioma

Inglés

N° páginas

234

Encuadernación

Tapa Dura

Dimensiones

22.8x15.1x2.3 cm

ISBN13

9780898713336

The Boundary Function Method for Singular Perturbation Problems (en Inglés)

Adelaide B. Vasil'eva;Valentin F. Butuzov;Leonid V. Kalachev (Autor) · SIAM - Society for Industrial and Applied Mathematics · Tapa Dura

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Reseña del libro "The Boundary Function Method for Singular Perturbation Problems (en Inglés)"

This is the first book published in English devoted solely to the boundary function method, which is one of the asymptotic methods. It contains a variety of original ideas and explicit calculations previously available only in journal literature, as well as many concrete applied problems illustrating the boundary function method algorithms.

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.

The book also contains a variety of original ideas and explicit calculations previously available only in journal literature, as well as many concrete applied problems illustrating the boundary function method algorithms. Quite general asymptotic results described in the book are rigorous in the sense that, along with the asymptotic algorithms, in most cases the theorems on estimation of the remainder terms are presented. A survey of results of Russian mathematicians on the subject is provided; many of these results are not well known in the West.

Based on the Russian edition of the textbook by Vasil'eva and Butuzov, this American edition, prepared by Kalachev, differs in many aspects. The text of the book has been revised substantially, some new material has been added to every chapter, and more examples, exercises, and new references on asymptotic methods and their applications have been included.