On numerical dispersion by upwind differencing (Q1089755)

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scientific article; zbMATH DE number 4005501
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On numerical dispersion by upwind differencing
scientific article; zbMATH DE number 4005501

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    On numerical dispersion by upwind differencing (English)
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    1986
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    It is shown that any upwind biased scheme for the linear one-dimensional convection equation for the Courant-Friedrichs-Lewy (CFL) number \(\sigma\) in the range [0,1] is free of dispersion if it is applied in one step with CFL number \(\sigma\) followed by a step with CFL number 1-\(\sigma\).
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    Courant-Friedrichs-Lewy number
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    upwind biased scheme
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    linear one- dimensional convection equation
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    dispersion
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    CFL number
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