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Inclusion of solutions of Darboux problems for quasilinear hyperbolic equations (Q1872950)

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scientific article; zbMATH DE number 1912271
Language Label Description Also known as
English
Inclusion of solutions of Darboux problems for quasilinear hyperbolic equations
scientific article; zbMATH DE number 1912271

    Statements

    title
    Inclusion of solutions of Darboux problems for quasilinear hyperbolic equations (English)
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    author
    M. Koeber
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    publication date
    19 May 2003
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    review text
    The paper deals with the characteristic initial value problem for a quasilinear hyperbolic differential equation of second order, namely the Darboux problems. A method, which yields pointwise enclosures of the domain of determinacy and of the corresponding solution, is presented. This method has been implemented and numerical results are presented.
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    zbMATH Keywords
    second order hyperbolic problem
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    Darboux problem
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    fixed point methods
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    error bounds
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    enclosure methods
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    characteristic initial value problem
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    quasilinear
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    numerical results
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    reviewed by
    Vit Dolejsi
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    Identifiers

    Mathematics Subject Classification ID
    65M70
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    35L70
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    65G40
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    65M15
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    zbMATH DE Number
    1912271
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    OpenAlex ID
    W2090411705
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