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    COMPARATIVE PROPERTIES OF SOME TIME DIFFERENCING SCHEMES FOR LINEAR AND NONLINEAR OSCILLATIONS

    Source: Monthly Weather Review:;1968:;volume( 096 ):;issue: 006::page 357
    Author:
    YOUNG, JOHN A.
    DOI: 10.1175/1520-0493(1968)096<0357:CPOSTD>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The properties of 13 computational methods for the integration of first-order differential equations in time are studied. Special attention is given to the representation of periodic fluctuations in a simple spectral baroclinic model of the atmosphere. Errors in the energy, three dimensional scale, and frequency for linear and nonlinear oscillations are evaluated. Comparisons of both one-step and two-step methods are made. It is found that the two-step schemes compare favorably with one-step methods only when given the advantage of a smaller time increment. Even then, it is concluded that certain one-step procedures incorporating two or more extrapolations over each constant increment of time produce errors which grow most slowly. With small time increments, these errors are generally made smallest by increasing the number of time extrapolations at each step rather than by decreasing the time increment.
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      COMPARATIVE PROPERTIES OF SOME TIME DIFFERENCING SCHEMES FOR LINEAR AND NONLINEAR OSCILLATIONS

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4198369
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    contributor authorYOUNG, JOHN A.
    date accessioned2017-06-09T15:58:42Z
    date available2017-06-09T15:58:42Z
    date copyright1968/06/01
    date issued1968
    identifier issn0027-0644
    identifier otherams-57974.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4198369
    description abstractThe properties of 13 computational methods for the integration of first-order differential equations in time are studied. Special attention is given to the representation of periodic fluctuations in a simple spectral baroclinic model of the atmosphere. Errors in the energy, three dimensional scale, and frequency for linear and nonlinear oscillations are evaluated. Comparisons of both one-step and two-step methods are made. It is found that the two-step schemes compare favorably with one-step methods only when given the advantage of a smaller time increment. Even then, it is concluded that certain one-step procedures incorporating two or more extrapolations over each constant increment of time produce errors which grow most slowly. With small time increments, these errors are generally made smallest by increasing the number of time extrapolations at each step rather than by decreasing the time increment.
    publisherAmerican Meteorological Society
    titleCOMPARATIVE PROPERTIES OF SOME TIME DIFFERENCING SCHEMES FOR LINEAR AND NONLINEAR OSCILLATIONS
    typeJournal Paper
    journal volume96
    journal issue6
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1968)096<0357:CPOSTD>2.0.CO;2
    journal fristpage357
    journal lastpage364
    treeMonthly Weather Review:;1968:;volume( 096 ):;issue: 006
    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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