The boundary function method for singular perturbation problems /
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| 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 |
Table of Contents:
- 1. Basic Ideas
- Regular and singular perturbations
- Asymptotic approximations
- Asymptotic and convergent series
- Examples of asymptotic expansions for solutions of regularly and singularly perturbed problems
- 2. Singularly perturbed ordinary differential equations
- Initial value problem
- The critical case
- Boundary value problems
- Spike-type solutions and other contrast (dissipative) structures
- 3. Singularly perturbed partial differential equations
- The method of Vishik-Lyusternik
- Corner boundary functions
- The smoothing procedure
- Systems of equations in critical cases
- Periodic solutions
- Hyperbolic systems
- 4. Applied problems
- Mathematical model of combustion process in the case of autocatalytic reaction
- Heat conduction in thin Bodies
- Application of the boundary function method in the theory of semiconductor devices
- Relaxation waves in the FitzHugh-Nagumo system
- On some other applied problems
- Index