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    Numerical Stability of the Combined Advection-DiffusionEquation with Nonuniform Spatial Grid

    Source: Monthly Weather Review:;1979:;volume( 107 ):;issue: 008::page 959
    Author:
    Brown, Philip S.
    ,
    Pandolfo, Joseph P.
    DOI: 10.1175/1520-0493(1979)107<0959:NSOTCA>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: The advection-diffusion equation is often solved by implicit finite-difference schemes that are unconditionally stable when the grid interval is uniform. When such schemes are generalized to account for nonuniform grid spacing, instability can result. The cause of this difficulty is identified and a procedure given to reclaim stability. An example is provided to show that similar computational problems can be encountered in the use of explicit differencing schemes.
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      Numerical Stability of the Combined Advection-DiffusionEquation with Nonuniform Spatial Grid

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/4200076
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    contributor authorBrown, Philip S.
    contributor authorPandolfo, Joseph P.
    date accessioned2017-06-09T16:02:32Z
    date available2017-06-09T16:02:32Z
    date copyright1979/08/01
    date issued1979
    identifier issn0027-0644
    identifier otherams-59510.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4200076
    description abstractThe advection-diffusion equation is often solved by implicit finite-difference schemes that are unconditionally stable when the grid interval is uniform. When such schemes are generalized to account for nonuniform grid spacing, instability can result. The cause of this difficulty is identified and a procedure given to reclaim stability. An example is provided to show that similar computational problems can be encountered in the use of explicit differencing schemes.
    publisherAmerican Meteorological Society
    titleNumerical Stability of the Combined Advection-DiffusionEquation with Nonuniform Spatial Grid
    typeJournal Paper
    journal volume107
    journal issue8
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1979)107<0959:NSOTCA>2.0.CO;2
    journal fristpage959
    journal lastpage962
    treeMonthly Weather Review:;1979:;volume( 107 ):;issue: 008
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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