Construction of high-order accurate difference schemes for hyperbolic equations (Q1569317)
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scientific article; zbMATH DE number 1467856
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of high-order accurate difference schemes for hyperbolic equations |
scientific article; zbMATH DE number 1467856 |
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Construction of high-order accurate difference schemes for hyperbolic equations (English)
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2 July 2000
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The author constructs third-order accurate finite difference schemes for the Euler equations. The basic idea of the construction is illustrated by considering a linear transport equation. The approximations of the spatial derivative constructed on a seven-point stencil depend on three functions, which are determined by monotonicity conditions. Results are calculated for the two-dimensional Navier-Stokes equations.
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hyperbolic equations
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error bounds
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difference scheme
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Euler equations
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linear transport equation
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monotonicity conditions
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Navier-Stokes equations
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