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    Asymptotic approaches in mechanics: New parameters and procedures

    Source: Applied Mechanics Reviews:;2003:;volume( 056 ):;issue: 001::page 87
    Author:
    Igor V Andrianov
    ,
    Jan Awrejcewicz
    ,
    Rem G Barantsev
    DOI: 10.1115/1.1521436
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This survey is devoted to recent achievements in the field of asymptotic approaches. Here we consider the asymptotics in relation to completely new and sometimes unexpected parameters. Some procedures leading to improvement and isolation of the essential analytical structure of the perturbation series are presented. It is also shown that many problems of perturbation theory, which seem to be relatively simple at a first glance, are still far from completely solved. Different asymptotic techniques to solve the same problem and their influence on the results are briefly illustrated and discussed. This review paper contains 310 references.
    keyword(s): Approximation , Boundary-value problems , Equations , Construction AND Shells ,
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      Asymptotic approaches in mechanics: New parameters and procedures

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    https://yetl.yabesh.ir/yetl1/handle/yetl/127790
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    contributor authorIgor V Andrianov
    contributor authorJan Awrejcewicz
    contributor authorRem G Barantsev
    date accessioned2017-05-09T00:09:14Z
    date available2017-05-09T00:09:14Z
    date copyrightJanuary, 2003
    date issued2003
    identifier issn0003-6900
    identifier otherAMREAD-25821#87_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127790
    description abstractThis survey is devoted to recent achievements in the field of asymptotic approaches. Here we consider the asymptotics in relation to completely new and sometimes unexpected parameters. Some procedures leading to improvement and isolation of the essential analytical structure of the perturbation series are presented. It is also shown that many problems of perturbation theory, which seem to be relatively simple at a first glance, are still far from completely solved. Different asymptotic techniques to solve the same problem and their influence on the results are briefly illustrated and discussed. This review paper contains 310 references.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAsymptotic approaches in mechanics: New parameters and procedures
    typeJournal Paper
    journal volume56
    journal issue1
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.1521436
    journal fristpage87
    journal lastpage110
    identifier eissn0003-6900
    keywordsApproximation
    keywordsBoundary-value problems
    keywordsEquations
    keywordsConstruction AND Shells
    treeApplied Mechanics Reviews:;2003:;volume( 056 ):;issue: 001
    contenttypeFulltext
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