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On correctness of the vertical discretization in numerical weather prediction models - MaRDI portal

On correctness of the vertical discretization in numerical weather prediction models (Q702561)

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scientific article; zbMATH DE number 2128777
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On correctness of the vertical discretization in numerical weather prediction models
scientific article; zbMATH DE number 2128777

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    On correctness of the vertical discretization in numerical weather prediction models (English)
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    17 January 2005
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    The authors consider hydrostatic equations used for example by ECMWF, introduce a vertical discretization, and investigate well posedness for the associated initial value problem. The discretization algorithm produces vertical structure matrices, and the proof of well-posedness reduces to verifying that they are oscillatory. This is done by applying a criterion of total positivity.
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    numerical weather prediction
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    initial value problem
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    well posedness
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    oscillatory matrices
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