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Analytical approach to the study of the boundary effect in a one-dimensional randomized numerical algorithm for adaptive mesh generation - MaRDI portal

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Analytical approach to the study of the boundary effect in a one-dimensional randomized numerical algorithm for adaptive mesh generation (Q2840250)

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scientific article; zbMATH DE number 6188966
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English
Analytical approach to the study of the boundary effect in a one-dimensional randomized numerical algorithm for adaptive mesh generation
scientific article; zbMATH DE number 6188966

    Statements

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    17 July 2013
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    adaptive meshes
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    randomized numerical algorithm
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    equidistribution concept
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    boundary effect
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    recurrent approach
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    one-dimensional
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    mesh generation
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    Analytical approach to the study of the boundary effect in a one-dimensional randomized numerical algorithm for adaptive mesh generation (English)
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    This paper presents a brief survey of algorithms which enable to get adaptive meshes of points placed according to the given distribution density. Critical analysis is performed of analytical approaches to a description of the randomized method for adaptive mesh generation. A recurrent approach is proposed, which enables to find the averaged positions of the mesh hubs. An analytical description of the boundary effect is presented.
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