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Titlebook: Homogenisation: Averaging Processes in Periodic Media; Mathematical Problem N. Bakhvalov,G. Panasenko Book 1989 Kluwer Academic Publishers

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书目名称Homogenisation: Averaging Processes in Periodic Media
副标题Mathematical Problem
编辑N. Bakhvalov,G. Panasenko
视频video
丛书名称Mathematics and its Applications
图书封面Titlebook: Homogenisation: Averaging Processes in Periodic Media; Mathematical Problem N. Bakhvalov,G. Panasenko Book 1989 Kluwer Academic Publishers
描述‘Et moi, .... si j‘avait su comment en revenir, One service mathematics has rendered the je n‘y semis point all,,: human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled ‘discarded non­ The series is divergent: therefore we may be sense‘. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non­ !inearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: ‘One service topology has rendered mathematical physics .. .‘; ‘One service logic has rendered com­ puter science .. .‘; ‘One service category theory has rendered mathematics .. .‘. All arguably true. And all statements obtainable this way form part of the raison d‘etre of this series.
出版日期Book 1989
关键词Boundary value problem; Maxwell‘s equations; Vibration; mechanics; model; operator; plasticity; partial dif
版次1
doihttps://doi.org/10.1007/978-94-009-2247-1
isbn_softcover978-94-010-7506-0
isbn_ebook978-94-009-2247-1Series ISSN 0169-6378
issn_series 0169-6378
copyrightKluwer Academic Publishers 1989
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Properties of Effective Coefficients. Relationship Among Local and Averaged Characteristics of a SoThis chapter investigates properties of solutions of equations on a cell and of averaged equations and relates the average characteristics of the original problem to those of a solution of the averaged equation.
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The Concept of Asymptotic Expansion. A Model Example to Illustrate the Averaging Method,the methods of asymptotic expansions applied to the problem of averaging the processes in periodic media. Many model examples of asymptotic methods used for investigating problems of mechanics are discussed in [101, 103].
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Homogenisation: Averaging Processes in Periodic Media978-94-009-2247-1Series ISSN 0169-6378
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https://doi.org/10.1007/978-94-009-2247-1Boundary value problem; Maxwell‘s equations; Vibration; mechanics; model; operator; plasticity; partial dif
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Averaging Processes in Skeletal Structures,sed for calculating the frameworks have the drawback that the number of equations increases with the number of nodes of the skeletal structure. This greatly impedes the calculation of skeletal structures with a large number of nodes, especially when investigating nonstationary and nonlinear processes.
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