Derivative instability of some schemes for the Korteweg-de Vries equation (Q1288378)
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scientific article; zbMATH DE number 1286599
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivative instability of some schemes for the Korteweg-de Vries equation |
scientific article; zbMATH DE number 1286599 |
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Derivative instability of some schemes for the Korteweg-de Vries equation (English)
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16 September 1999
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Numerical examples are used to demonstrate that numerical instability with respect to the derivative of the solution of the Korteweg-de Vries equation may occur when using difference methods, even though the energy or both the energy and the momentum are preserved numerically.
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Korteweg-de Vries equation
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implicit difference scheme
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numerical instability
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conserved quantity
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KdV equation
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0.91153264
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0.9025469
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0.8950319
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0.89330775
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0.88850087
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0.8810558
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