The Boundary Function Method for Singular Perturbation Problems - Rilegato

Vasil'eva, Adelaida B.; Butuzov, Valentin F.; Kalachev, Leonid V.

Rilegato

ISBN 10: 0898713331 ISBN 13: 9780898713336

Casa editrice: Society for Industrial and Applied Mathematics, 1995

Riassunto

This book is devoted solely to the boundary function method, which is one of the asymptotic methods.

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Descrizione del libro

The first book published in English devoted solely to the boundary function method - 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

Contenuti

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.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1995
• Lingua: Inglese
• ISBN 10: 0898713331
• ISBN 13: 9780898713336
• Rilegatura: Copertina rigida
• Numero di pagine: 234
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile