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    A Convergence Analysis of a Numerical Method for Solving the Balance Equation

    Source: Monthly Weather Review:;1983:;volume( 111 ):;issue: 005::page 997
    Author:
    Bijlsma, S. J.
    ,
    Hoogendoorn, R. J.
    DOI: 10.1175/1520-0493(1983)111<0997:ACAOAN>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: In this paper the convergence of an iterative method for solving the nonlinear balance equation is analyzed. It is shown that this iterative method, originally proposed by Miyakoda and Shuman, is convergent if a sufficiently accurate initial approximation is used and if the successive iterates satisfy the ellipticity condition. Otherwise the method may be divergent. Experimental results are presented.
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      A Convergence Analysis of a Numerical Method for Solving the Balance Equation

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4200902
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    contributor authorBijlsma, S. J.
    contributor authorHoogendoorn, R. J.
    date accessioned2017-06-09T16:04:20Z
    date available2017-06-09T16:04:20Z
    date copyright1983/05/01
    date issued1983
    identifier issn0027-0644
    identifier otherams-60252.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4200902
    description abstractIn this paper the convergence of an iterative method for solving the nonlinear balance equation is analyzed. It is shown that this iterative method, originally proposed by Miyakoda and Shuman, is convergent if a sufficiently accurate initial approximation is used and if the successive iterates satisfy the ellipticity condition. Otherwise the method may be divergent. Experimental results are presented.
    publisherAmerican Meteorological Society
    titleA Convergence Analysis of a Numerical Method for Solving the Balance Equation
    typeJournal Paper
    journal volume111
    journal issue5
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1983)111<0997:ACAOAN>2.0.CO;2
    journal fristpage997
    journal lastpage1001
    treeMonthly Weather Review:;1983:;volume( 111 ):;issue: 005
    contenttypeFulltext
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