The boundary function method for singular perturbation problems /

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Bibliographic Details
Author / Creator:Vasilʹeva, A. B. (Adelaida Borisovna), 1926-
Imprint:Philadelphia : Society for Industrial and Applied Mathematics, c1995.
Description:xiii, 221 p. : ill. ; 27 cm.
Language:English
Series:SIAM studies in applied mathematics ; vol. 14
SIAM studies in applied mathematics ; 14.
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/1753226
Hidden Bibliographic Details
Other authors / contributors:Butuzov, V. F. (Valentin Fedorovich)
Kalachev, Leonid V.
ISBN:0898713331
Notes:Includes bibliographical references (p. 209-217) and index.

MARC

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245 1 4 |a The boundary function method for singular perturbation problems /  |c Adelaida B. Vasilʹeva, Valentin F. Butuzov, and Leonid V. Kalachev. 
260 |a Philadelphia :  |b Society for Industrial and Applied Mathematics,  |c c1995. 
300 |a xiii, 221 p. :  |b ill. ;  |c 27 cm. 
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490 1 |a SIAM studies in applied mathematics ;  |v vol. 14 
504 |a Includes bibliographical references (p. 209-217) and index. 
505 0 0 |g 1.  |t Basic Ideas.  |g 1.1.  |t Regular and singular perturbations.  |g 1.2.  |t Asymptotic approximations. Asymptotic and convergent series.  |g 1.3.  |t Examples of asymptotic expansions for solutions of regularly and singularly perturbed problems --  |g 2.  |t Singularly Perturbed Ordinary Differential Equations.  |g 2.1.  |t Initial value problem.  |g 2.2.  |t The critical case.  |g 2.3.  |t Boundary value problems.  |g 2.4.  |t Spike-type solutions and other contrast (dissipative) structures --  |g 3.  |t Singularly Perturbed Partial Differential Equations.  |g 3.1.  |t The method of Vishik-Lyusternik.  |g 3.2.  |t Corner boundary functions.  |g 3.3.  |t The smoothing procedure.  |g 3.4.  |t Systems of equations in critical cases.  |g 3.5.  |t Periodic solutions.  |g 3.6.  |t Hyperbolic systems --  |g 4.  |t Applied Problems.  |g 4.1.  |t Mathematical model of combustion process in the case of autocatalytic reaction.  |g 4.2.  |t Heat conduction in thin bodies.  |g 4.3.  |t Application of the boundary function method in the theory of semiconductor devices.  |g 4.4.  |t Relaxation Waves in the FitzHugh-Nagumo System.  |g 4.5.  |t On some other applied problems. 
650 0 |a Boundary value problems  |x Numerical solutions.  |0 http://id.loc.gov/authorities/subjects/sh85016105 
650 0 |a Singular perturbations (Mathematics)  |0 http://id.loc.gov/authorities/subjects/sh85122869 
650 7 |a Boundary value problems  |x Numerical solutions.  |2 fast  |0 http://id.worldcat.org/fast/fst00837129 
650 7 |a Singular perturbations (Mathematics)  |2 fast  |0 http://id.worldcat.org/fast/fst01119500 
700 1 |a Butuzov, V. F.  |q (Valentin Fedorovich)  |0 http://id.loc.gov/authorities/names/n85231743  |1 http://viaf.org/viaf/30981823 
700 1 |a Kalachev, Leonid V.  |0 http://id.loc.gov/authorities/names/n94107998  |1 http://viaf.org/viaf/11543711 
830 0 |a SIAM studies in applied mathematics ;  |v 14. 
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