Boundary function method for singular perturbation problems

By:

Vasileva, Adelaida B

Contributor(s):

Series: SIAM studies in applied mathematics ; Vol. 14Publication details: Society for Industrial and Applied Mathematics, 1995. Philadelphia, Pennsylvania:Description: xiii, 221p.; hbk; 27cmISBN:

0898713331

Subject(s):

DDC classification:

515.35 VAS

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. https://my.siam.org/Store/Product/viewproduct/?ProductId=657

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	515.35 VAS (Browse shelf(Opens below))	1	Available		031948

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Previous	515.35 SMI Singular-perturbation theory: an introduction with applications	515.35 TAY Partial differential equations	515.35 TRO Boundary value problems of applied mathematics: second edition	515.35 VAS Boundary function method for singular perturbation problems	515.35 VER Methods and applications of singular perturbations: boundary layers and multiple timescale dynamics	515.352 BAR Poincare and the three body problem	515.352 CES Asymptotic behavior and stability problems in ordinary differential equations	Next

Includes index and references

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.

https://my.siam.org/Store/Product/viewproduct/?ProductId=657

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