Localization effects and measure source terms in numerical schemes for balance laws (Q2781210)
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scientific article; zbMATH DE number 1720961
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Localization effects and measure source terms in numerical schemes for balance laws |
scientific article; zbMATH DE number 1720961 |
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19 March 2002
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scalar conservation laws
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hyperbolic nonlinear equations
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Godunov scheme
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weak limits
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relaxation approximations
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balance laws
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numerical examples
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singular Riemann problems
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long time behaviour
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Localization effects and measure source terms in numerical schemes for balance laws (English)
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A way to construct numerical schemes for nonhomogeneous hyperbolic equations by means of a Godunov scheme involving singular Riemann problems is proposed. The ambiguous terms arise naturally as weak limits of strongly compact regularized sequences and contain an information on the long time behavior of both exact and numerical solutions. Some computational results are provided.
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