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    An Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector

    Source: Monthly Weather Review:;2011:;volume( 140 ):;issue: 001::page 307
    Author:
    Kar, Sajal K.
    DOI: 10.1175/MWR-D-10-05066.1
    Publisher: American Meteorological Society
    Abstract: A new predictor-corrector time-difference scheme that employs a second-order Adams?Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the proposed Adams?Bashforth trapezoidal scheme are determined for the oscillation and friction equations. Effectiveness of the scheme is demonstrated through a number of time integrations using finite-difference numerical models of varying complexities in one and two spatial dimensions. The proposed scheme has useful implications for the fully implicit schemes currently employed in some semi-Lagrangian models of the atmosphere.
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      An Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4229599
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    contributor authorKar, Sajal K.
    date accessioned2017-06-09T17:29:03Z
    date available2017-06-09T17:29:03Z
    date copyright2012/01/01
    date issued2011
    identifier issn0027-0644
    identifier otherams-86081.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4229599
    description abstractA new predictor-corrector time-difference scheme that employs a second-order Adams?Bashforth scheme for the predictor and a trapezoidal scheme for the corrector is introduced. The von Neumann stability properties of the proposed Adams?Bashforth trapezoidal scheme are determined for the oscillation and friction equations. Effectiveness of the scheme is demonstrated through a number of time integrations using finite-difference numerical models of varying complexities in one and two spatial dimensions. The proposed scheme has useful implications for the fully implicit schemes currently employed in some semi-Lagrangian models of the atmosphere.
    publisherAmerican Meteorological Society
    titleAn Explicit Time-Difference Scheme with an Adams–Bashforth Predictor and a Trapezoidal Corrector
    typeJournal Paper
    journal volume140
    journal issue1
    journal titleMonthly Weather Review
    identifier doi10.1175/MWR-D-10-05066.1
    journal fristpage307
    journal lastpage322
    treeMonthly Weather Review:;2011:;volume( 140 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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