\(L^{2}\)-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations (Q977429)
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scientific article; zbMATH DE number 5724568
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(L^{2}\)-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations |
scientific article; zbMATH DE number 5724568 |
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\(L^{2}\)-stability analysis of novel ETD scheme for Kuramoto-Sivashinsky equations (English)
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22 June 2010
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The authors prove the \(L^2\)-stability of some exponential time differencing (ETD) schemes for the Kuramoto-Sivanshinsky equation \(u_t = -u_{xx} - \nu u_{xxx} - uu_x, \quad (x,t) \in [0,\pi] \times \mathbb{R}^+\) and the related linearized equation \(u_t = -u_{xx} - \nu u_{xxx} + \lambda u\) with the initial condition and periodic boundary conditions.
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spectral Galerkin methods
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asymptotic stability
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nonlinear stiff PDEs
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Kuramoto-Sivashinsky equation
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exponential time differencing
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truncation error
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0.7973583340644836
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0.7738971710205078
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0.7669718265533447
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0.7588110566139221
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