Partial Differential Equations V

Language: English

Published by Springer, Springer Gabler Okt 2012, 2012

3642635865 / 9783642635861

Series: Book 22 of 47 - Encyclopaedia of Mathematical Sciences

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch.…

Seller Inventory # 9783642635861

Title
Partial Differential Equations V
Author
M. V. Fedoryuk
Publisher
Springer, Springer Gabler Okt 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3642635865
ISBN 13
9783642635861
Item weight
400 grams
Dimensions
235x155x15 mm
Series
Book 22 of 47: Encyclopaedia of Mathematical Sciences

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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