Numerical smoothness and error analysis on WENO for the nonlinear conservation laws (Q2864596)
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scientific article; zbMATH DE number 6232499
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical smoothness and error analysis on WENO for the nonlinear conservation laws |
scientific article; zbMATH DE number 6232499 |
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Numerical smoothness and error analysis on WENO for the nonlinear conservation laws (English)
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26 November 2013
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WENO schemes
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a posteriori error analysis
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numerical smoothness
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nonlinear conervation laws
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weighted essentially nonoscillatory schemes
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numerical experiments
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The paper deals with the numerical solution of 1D nonlinear conervation laws by the weighted essentially nonoscillatory schemes. The author focuses on a posteriori error analysis which is based on the so-called numerical smoothness. The derived local estimates are optimal with respect to the space as well as to the time. The theoretical results are justified by numerical experiments.
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