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Local error estimates for methods of characteristics incorporating streamline diffusion - MaRDI portal

Local error estimates for methods of characteristics incorporating streamline diffusion (Q1856784)

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scientific article; zbMATH DE number 1866518
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English
Local error estimates for methods of characteristics incorporating streamline diffusion
scientific article; zbMATH DE number 1866518

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    Local error estimates for methods of characteristics incorporating streamline diffusion (English)
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    11 February 2003
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    The author relies on a modified method of characteristics combined with streamline diffusion as developed by \textit{M. B. Allen} and \textit{B. Liu} [Numer. Methods Partial Differ. Equations 11, 255-274 (1995; Zbl 0826.65085)] for the numerical treatment of convection dominated convection-diffusion equations. While their method decays in order in case the characteristics leave the domain the author develops a lumped version of their method and proves its accuracy.
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    method of characteristics
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    error estimates
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    streamline diffusion
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    convection-diffusion equations
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