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The modified equation as a model of local errors in convective schemes - MaRDI portal

The modified equation as a model of local errors in convective schemes (Q1093332)

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scientific article; zbMATH DE number 4022522
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The modified equation as a model of local errors in convective schemes
scientific article; zbMATH DE number 4022522

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    The modified equation as a model of local errors in convective schemes (English)
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    1986
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    Parallel with the difference schemes approximating the convective equation with constant coefficients the modified equations are considered [another name in the literature is the differential approximation; cf. the reviewer, The method of differential approximation (1979; Zbl 0495.65040); Engl. transl. (1983; Zbl 0511.65067)]. Estimates for the difference between the difference solution and the solution of the modified equations after multiple time steps are given. These estimates show that the modified equation may be a model of local errors.
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    difference schemes
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    convective equation
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    modified equations
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    method of differential approximation
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    Estimates
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    local errors
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