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    Using Polynomial Regression in Designing the Time Filters for the Leapfrog Time-Stepping Scheme

    Source: Monthly Weather Review:;2017:;volume( 145 ):;issue: 005::page 1779
    Author:
    Yazgi, Daniel
    ,
    Mohebalhojeh, Ali R.
    ,
    Ghader, Sarmad
    DOI: 10.1175/MWR-D-16-0380.1
    Publisher: American Meteorological Society
    Abstract: general framework is presented based on the least squares polynomial regression to design time filters for the leapfrog time-stepping scheme with required amplitude and phase properties. The well-known Robert?Asselin filter and its modification, the Robert?Asselin?Williams filter, are obtained using the zeroth-degree and first-degree polynomial regression, respectively. It is shown that using the second-degree polynomial regression, one can achieve seventh-order amplitude accuracy with only four time levels. In addition, the designed filter exhibits promising results when used with a semi-implicit time-stepping scheme.
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      Using Polynomial Regression in Designing the Time Filters for the Leapfrog Time-Stepping Scheme

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    contributor authorYazgi, Daniel
    contributor authorMohebalhojeh, Ali R.
    contributor authorGhader, Sarmad
    date accessioned2017-06-09T17:34:38Z
    date available2017-06-09T17:34:38Z
    date copyright2017/05/01
    date issued2017
    identifier issn0027-0644
    identifier otherams-87442.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4231112
    description abstractgeneral framework is presented based on the least squares polynomial regression to design time filters for the leapfrog time-stepping scheme with required amplitude and phase properties. The well-known Robert?Asselin filter and its modification, the Robert?Asselin?Williams filter, are obtained using the zeroth-degree and first-degree polynomial regression, respectively. It is shown that using the second-degree polynomial regression, one can achieve seventh-order amplitude accuracy with only four time levels. In addition, the designed filter exhibits promising results when used with a semi-implicit time-stepping scheme.
    publisherAmerican Meteorological Society
    titleUsing Polynomial Regression in Designing the Time Filters for the Leapfrog Time-Stepping Scheme
    typeJournal Paper
    journal volume145
    journal issue5
    journal titleMonthly Weather Review
    identifier doi10.1175/MWR-D-16-0380.1
    journal fristpage1779
    journal lastpage1795
    treeMonthly Weather Review:;2017:;volume( 145 ):;issue: 005
    contenttypeFulltext
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