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    Unconditional Stability in Numerical Time Integration Methods

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 002::page 417
    Author:
    R. D. Krieg
    DOI: 10.1115/1.3422999
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Methods of numerical time integration of the equation M̄q̈ + K̄q = f are examined in this paper. A particular class of explicit time integration methods is defined and this class is searched for an unconditionally stable method. The class is found to contain no such method and, furthermore, is found to contain no method with a larger stable time step size than that characterized by the simple central difference time integration method.
    keyword(s): Stability AND Equations ,
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      Unconditional Stability in Numerical Time Integration Methods

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    https://yetl.yabesh.ir/yetl1/handle/yetl/163478
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    contributor authorR. D. Krieg
    date accessioned2017-05-09T01:35:56Z
    date available2017-05-09T01:35:56Z
    date copyrightJune, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25982#417_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163478
    description abstractMethods of numerical time integration of the equation M̄q̈ + K̄q = f are examined in this paper. A particular class of explicit time integration methods is defined and this class is searched for an unconditionally stable method. The class is found to contain no such method and, furthermore, is found to contain no method with a larger stable time step size than that characterized by the simple central difference time integration method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleUnconditional Stability in Numerical Time Integration Methods
    typeJournal Paper
    journal volume40
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422999
    journal fristpage417
    journal lastpage421
    identifier eissn1528-9036
    keywordsStability AND Equations
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 002
    contenttypeFulltext
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