Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation (Q1886261)
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scientific article; zbMATH DE number 2116188
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation |
scientific article; zbMATH DE number 2116188 |
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Implicit-explicit BDF methods for the Kuramoto-Sivashinsky equation (English)
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18 November 2004
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The authors present a computational method for the Kuromoto-Sivashinsky equation. The spatial discretization is by Fourier collocation. For the temporal discretization a 6-th order backward difference method is used for the linear terms, and an explicit Adams method is used for the nonlinear convection term. It is proved that the method converges.
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Kuromoto-Sivashinsky equation
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trigonometric collocation
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Fourier collocation
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backward difference method
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Adams method
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implicit-explicit BDF methods
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periodic attractors
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period doubling cascades
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