The boundary function method for singular perturbation problems /
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Author / Creator: | Vasilʹeva, A. B. (Adelaida Borisovna), 1926- |
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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 |
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100 | 1 | |a Vasilʹeva, A. B. |q (Adelaida Borisovna), |d 1926- |0 http://id.loc.gov/authorities/names/n82255437 |1 http://viaf.org/viaf/108761994 | |
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. | ||
336 | |a text |b txt |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
337 | |a unmediated |b n |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
338 | |a volume |b nc |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
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. | |
901 | |a ToCBNA | ||
903 | |a HeVa | ||
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928 | |t Library of Congress classification |a QA379.V390 1995 |l Eck |c Eck-Eck |i 5932978 | ||
927 | |t Library of Congress classification |a QA379.V390 1995 |l Eck |c Eck-Eck |b 42976243 |i 3277963 |