The Boundary Function Method for Singular Perturbed Problems is popular PDF and ePub book, written by Adelaida B. Vasil'eva in 1995-01-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Boundary Function Method for Singular Perturbed Problems can be Read Online from any device for your convenience.
The Boundary Function Method for Singular Perturbed Problems Book PDF Summary
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.
Detail Book of The Boundary Function Method for Singular Perturbed Problems PDF
- Author : Adelaida B. Vasil'eva
- Release : 01 January 1995
- Publisher : SIAM
- ISBN : 1611970784
- Genre : Mathematics
- Total Page : 234 pages
- Language : English
- PDF File Size : 7,7 Mb
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