Partial differential equations V : asymptotic methods for partial differential equations / M.V. Fedoryuk
Tipo de material: TextoIdioma: Inglés Series Encyclopaedia of mathematical sciences ; 34Detalles de publicación: Berlin : Springer, 1999Descripción: 247 pages ; 24 cmISBN:- 9783540533719
- 22 515.353
Tipo de ítem | Biblioteca actual | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras | Reserva de ítems | |
---|---|---|---|---|---|---|---|---|
Colección general | Biblioteca Yachay Tech | 515.353 P2733 1999 (Navegar estantería(Abre debajo)) | Ej. 1 | Disponible | 001834 | |||
Colección general | Biblioteca Yachay Tech | 515.353 P2733 1999 (Navegar estantería(Abre debajo)) | Ej. 2 | Disponible | 001835 | |||
Colección general | Biblioteca Yachay Tech | 515.353 P2733 1999 (Navegar estantería(Abre debajo)) | Ej. 3 | Disponible | 001836 |
Equations with Rapidly Oscillating Solutions -- Asymptotic Expansion as t → ∞ of the Solutions of Exterior Boundary Value Problems for Hyperbolic Equations and Quasiclassical Approximations -- The Higher-Dimensional WKB Method or Ray Method. Its Analogues and Generalizations -- Semiclassical Asymptotics of Eigenfunctions -- The Boundary Layer
The second stage is to determine these functions and coefficients using a direct substitution of the ansatz in the equation, the boundary conditions and the initial conditions. Sometimes it is necessary to use different ansiitze in different domains, and in the overlapping parts of these domains the formal asymptotic solutions must be asymptotically equivalent (the method of matched asymptotic expansions). The basis for success in the search for formal asymptotic solutions is a suitable choice of ansiitze. The study of the asymptotics of explicit solutions of special model problems allows us to "surmise" what the correct ansiitze are for the general solution.
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