Partial Differential Equations V : Asymptotic Methods for Partial Differential Equations

Lingua: inglese

Editore: Springer Berlin Heidelberg, Springer Berlin Heidelberg, 2012

3642635865 / 9783642635861

Serie: Libro 22 di 47 - Encyclopaedia of Mathematical Sciences

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Druck auf Anfrage Neuware - Printed after ordering - In this paper we shall discuss the construction of formal short-wave asymp totic solutions of problems of mathematical physics. The topic is very broad. It can somewhat conveniently be divided into three parts: 1. Finding the short-wave asymptotics of a rather narrow class of problems, which admit a solution in an explicit form, via formulas that represent this solution. 2. Finding formal asymptotic solutions of equations that describe wave processes by basing them on some ansatz or other. We explain what 2 means. Giving an ansatz is knowing how to give a formula for the desired asymptotic solution in the form of a series or some expression containing a series, where the analytic nature of the terms of these series is indicated up to functions and coefficients that are undetermined at the first stage of consideration. 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.

Codice articolo 9783642635861

Titolo
Partial Differential Equations V : Asymptotic Methods for Partial Differential Equations
Autore
M. V. Fedoryuk
Editore
Springer Berlin Heidelberg, Springer Berlin Heidelberg
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3642635865
ISBN 13
9783642635861
Peso dell'articolo
400 grammi
Dimensioni
235x155x15 mm
Serie
Libro 22 di 47: Encyclopaedia of Mathematical Sciences

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 30 a 40 giorni lavorativiDa 7 a 14 giorni lavorativi
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