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    On the Stability of the N Cycle Scheme of Lorenz

    Source: Monthly Weather Review:;1974:;volume( 102 ):;issue: 003::page 254
    Author:
    Israeli, M.
    ,
    Gottlieb, D.
    DOI: 10.1175/1520-0493(1974)102<0254:OTSOTC>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The stability of the N-cycle scheme of Lorenz for hyperbolic systems of partial differential equations and for parabolic equations is explored. Stability conditions are given explicitly. For hyperbolic systems, the results indicate that the fourth-order scheme is the most efficient. For the parabolic equation the results indicate that the stability condition is not, as was suggested by Lorenz, independent of N.
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      On the Stability of the N Cycle Scheme of Lorenz

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4199110
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    contributor authorIsraeli, M.
    contributor authorGottlieb, D.
    date accessioned2017-06-09T16:00:31Z
    date available2017-06-09T16:00:31Z
    date copyright1974/03/01
    date issued1974
    identifier issn0027-0644
    identifier otherams-58641.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4199110
    description abstractThe stability of the N-cycle scheme of Lorenz for hyperbolic systems of partial differential equations and for parabolic equations is explored. Stability conditions are given explicitly. For hyperbolic systems, the results indicate that the fourth-order scheme is the most efficient. For the parabolic equation the results indicate that the stability condition is not, as was suggested by Lorenz, independent of N.
    publisherAmerican Meteorological Society
    titleOn the Stability of the N Cycle Scheme of Lorenz
    typeJournal Paper
    journal volume102
    journal issue3
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1974)102<0254:OTSOTC>2.0.CO;2
    journal fristpage254
    journal lastpage256
    treeMonthly Weather Review:;1974:;volume( 102 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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