The numerical behavior of high-order finite difference methods (Q1892129)
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scientific article; zbMATH DE number 762049
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The numerical behavior of high-order finite difference methods |
scientific article; zbMATH DE number 762049 |
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The numerical behavior of high-order finite difference methods (English)
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8 June 1995
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We investigate the numerical behavior of a fourth-order accurate method. The results are compared with those of a second-order method. We have verified the rate of convergence for the numerical solution. As test cases the simple hyperbolic model equation \(u_ t+ u_ x=0\) and the two-dimensional Euler equations over backward-facing step have been used.
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artificial viscosity operators
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dataparallel implementation
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fourth-order accurate method
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second-order method
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convergence
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hyperbolic model equation
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Euler equations
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backward-facing step
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