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1D-grid generation by monotone iteration discretization (Q908665)

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scientific article; zbMATH DE number 4135331
Language Label Description Also known as
English
1D-grid generation by monotone iteration discretization
scientific article; zbMATH DE number 4135331

    Statements

    title
    1D-grid generation by monotone iteration discretization (English)
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    author
    M. A. Al-Zanaidi
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    Christian Grossmann
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    published in
    Computing
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    publication date
    1990
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    review text
    The numerical solution of weakly nonlinear two-point boundary value problems based on monotone discretization is considered. A new feedback grid generation principle is proposed. By means of available estimations resulting from lower and upper solutions the grid is refined automatically. The monotonicity of the method is guaranteed by principles of monotone iterations. The convergence properties of the proposed algorithm are analyzed.
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    zbMATH Keywords
    weakly nonlinear
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    monotone discretization
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    feedback grid generation
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    lower and upper solutions
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    monotone iterations
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    convergence
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    algorithm
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    Identifiers

    DOI
    10.1007/BF02241656
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    Mathematics Subject Classification ID
    65L10
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    65L50
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    65L60
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    34B15
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    zbMATH DE Number
    4135331
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    OpenAlex ID
    W186203415
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