eBooks :: Kembali

eBooks :: Kembali

The boundary function method for singular perturbation problems

Adelaida Borisovna Vasil'eva, Valentin Fedorovich Butuzov, and Leonid V. Kalachev (Society for Industrial and Applied Mathematics, 1995)

 Abstrak

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.

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Jenis Koleksi : eBooks
No. Panggil : e20448595
Entri utama-Nama orang :
Entri tambahan-Nama orang :
Subjek :
Penerbitan : Philadelphia: Society for Industrial and Applied Mathematics, 1995
Sumber Pengatalogan: LibUI eng rda
Tipe Konten: text
Tipe Media: computer
Tipe Pembawa: online resource
Deskripsi Fisik: xiii, 221 pages : illustration
Tautan: http://portal.igpublish.com/iglibrary/search/SIAMB0000304.main.html?3
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e20448595 02-17-574789048 TERSEDIA
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