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Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations - MaRDI portal

Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations (Q1974752)

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scientific article; zbMATH DE number 1440467
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English
Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations
scientific article; zbMATH DE number 1440467

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    Application of compact finite-difference schemes to the initial boundary value problem for a hyperbolic system of equations (English)
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    19 June 2000
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    The authors have analyzed some aspects of the application of upwind implicit finite-difference approximations to the initial boundary value problem for hyperbolic systems of equations. An algorithm for constructing finite-difference schemes that are conservative in the entire domain of computation, which includes the nodes at its boundary, is proposed. A corresponding algorithm for approximating boundary compatibility conditions is developed.
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    upwind implicit finite-difference approximations
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    approximating boundary compatibility conditions
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