Uniform stability of a one-parameter family of difference schemes (Q1759106)

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scientific article; zbMATH DE number 6108635
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Uniform stability of a one-parameter family of difference schemes
scientific article; zbMATH DE number 6108635

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    Uniform stability of a one-parameter family of difference schemes (English)
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    20 November 2012
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    A difference scheme with weights approximating the nonlocal boundary value problem for a heat equation with a parameter in the boundary conditions is discussed in this paper. Uniform (in parameter) estimates of the solution scheme that demonstrate the consistency of the initial data in the mean-square norm are proved.
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    difference scheme
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    stability
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    nonlocal boundary condition
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    error estimates
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    heat equation
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    consistency
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