Stability bounds for local Lagrangian interpolation (Q1824779)

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scientific article; zbMATH DE number 4118871
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Stability bounds for local Lagrangian interpolation
scientific article; zbMATH DE number 4118871

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    Stability bounds for local Lagrangian interpolation (English)
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    1988
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    The author studies the stability bounds for local Lagrangian interpolation as a function of mesh ratios. This paper presents stability bounds for both the cases of quasi-uniform meshes and locally quasi- uniform meshes where the dependence on the mesh ratio is explicitly given. The results are useful in studying the behavior of local piecewise polynomial interpolation on highly non-uniform meshes.
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    local Lagrangian interpolation
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    stability bounds
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    local piecewise polynomial interpolation
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