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Descrizione libro Soft Cover. Condizione: new. Codice articolo 9783642635861
Descrizione libro Condizione: New. Codice articolo ABLIING23Mar3113020232115
Descrizione libro Condizione: New. Codice articolo 19494998-n
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9783642635861_lsuk
Descrizione libro Taschenbuch. Condizione: 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. Codice articolo 9783642635861
Descrizione libro Condizione: New. Codice articolo 19494998-n
Descrizione libro Taschenbuch. Condizione: 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. Codice articolo 9783642635861
Descrizione libro Condizione: New. Codice articolo 5065878
Descrizione libro Condizione: New. Editor(s): Fedoryuk, Mikhail V. Translator(s): Joel, J.S.; Wolf, S.A. Series: Encyclopaedia of Mathematical Sciences. Num Pages: 254 pages, biography. BIC Classification: PBK; PHS. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 13. Weight in Grams: 403. . 2012. Softcover reprint of the original 1st ed. 1999. Paperback. . . . . Codice articolo V9783642635861
Descrizione libro Condizione: New. pp. 260. Codice articolo 2658582510