Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer Berlin Heidelberg, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Taschenbuch. Condition: Neu. 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.
Published by Springer Berlin Heidelberg Okt 2012, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 260 pp. Englisch.
Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer Berlin Heidelberg, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
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Published by Springer, 2012
ISBN 10: 3642635865 ISBN 13: 9783642635861
Seller: GreatBookPricesUK, Castle Donington, DERBY, United Kingdom
Condition: As New. Unread book in perfect condition.