An iterative method for systems of nonlinear hyperbolic equations (Q1174532)
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scientific article; zbMATH DE number 8980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An iterative method for systems of nonlinear hyperbolic equations |
scientific article; zbMATH DE number 8980 |
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An iterative method for systems of nonlinear hyperbolic equations (English)
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25 June 1992
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The essence of the presented method is the possibility that the algorithm can be parallelized to a high degree. This is reached by the linearizing of the nonlinear hyperbolic system. Then the differential equations are solved iteratively. This is analogous to the Gauss-Seidel method for solving linera algebraic systems. The convergence of this iteration is proved. Some numerical experiments are given for the two-dimensional Burger's equation. The differential equations are approximated by a second-order MacCormack scheme and a first-order upwind scheme.
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parallel computation
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nonlinear hyperbolic system
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Gauss-Seidel method
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convergence
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iteration
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numerical experiments
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Burger's equation
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second- order MacCormack scheme
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first-order upwind scheme
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