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    Eigenvalue Estimation Using Linearly Dependent Eigenfunctions

    Source: Journal of Vibration and Acoustics:;2000:;volume( 122 ):;issue: 004::page 464
    Author:
    Keh-Yang Lee
    ,
    Student Mem. ASME
    ,
    Anthony A. Renshaw
    DOI: 10.1115/1.1310327
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A technique is developed for estimating the eigenvalues of one problem using an expansion of linearly dependent eigenfunctions of another problem. Such an expansion cannot be used with Galerkin’s method because the linear dependence of the eigenfunctions renders Galerkin’s method singular. Test results indicate that the method converges and is as accurate as Galerkin’s method with linearly independent trial functions. [S0739-3717(00)01804-3]
    keyword(s): Eigenfunctions , Eigenvalues AND Functions ,
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      Eigenvalue Estimation Using Linearly Dependent Eigenfunctions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/124528
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    contributor authorKeh-Yang Lee
    contributor authorStudent Mem. ASME
    contributor authorAnthony A. Renshaw
    date accessioned2017-05-09T00:03:44Z
    date available2017-05-09T00:03:44Z
    date copyrightOctober, 2000
    date issued2000
    identifier issn1048-9002
    identifier otherJVACEK-28854#464_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/124528
    description abstractA technique is developed for estimating the eigenvalues of one problem using an expansion of linearly dependent eigenfunctions of another problem. Such an expansion cannot be used with Galerkin’s method because the linear dependence of the eigenfunctions renders Galerkin’s method singular. Test results indicate that the method converges and is as accurate as Galerkin’s method with linearly independent trial functions. [S0739-3717(00)01804-3]
    publisherThe American Society of Mechanical Engineers (ASME)
    titleEigenvalue Estimation Using Linearly Dependent Eigenfunctions
    typeJournal Paper
    journal volume122
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.1310327
    journal fristpage464
    journal lastpage466
    identifier eissn1528-8927
    keywordsEigenfunctions
    keywordsEigenvalues AND Functions
    treeJournal of Vibration and Acoustics:;2000:;volume( 122 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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