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A grid approximation for the Riemann problem in the case of the Burgers equation (Q1571226)

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scientific article; zbMATH DE number 1472961
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English
A grid approximation for the Riemann problem in the case of the Burgers equation
scientific article; zbMATH DE number 1472961

    Statements

    A grid approximation for the Riemann problem in the case of the Burgers equation (English)
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    11 November 2001
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    Grid approximations of the Dirichlet problem are considered for a quasilinear parabolic equation with a small coefficient of the highest-order derivative. The initial condition has a discontinuity of the first kind, which initiates a rarefaction wave. The problem statement, motivation, and the basic results of a study of special numerical methods for such problems are presented.
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    initial-boundary value problem
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    singularly perturbation
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    discontinuous data
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    mesh generation
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    quasilinear parabolic equation
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    Riemann problem
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    Burgers equation
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    rarefaction wave
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