Studies in numerical nonlinear instability. II. A new look at \(u_ t+uu_ x=0\) (Q1088388)
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scientific article; zbMATH DE number 3990780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Studies in numerical nonlinear instability. II. A new look at \(u_ t+uu_ x=0\) |
scientific article; zbMATH DE number 3990780 |
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Studies in numerical nonlinear instability. II. A new look at \(u_ t+uu_ x=0\) (English)
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1986
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[For part I by the second author see SIAM J. Sci. Stat. Comput. 6, 923- 938 (1985; reviewed above).] It is shown for a leap-frog discretization of equation \(u_ t+uu_ x\) that any particular unstable solution behaves as an attractor of other solutions. The overflow time is estimated and related to the notions of stability threshold and restricted stability.
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nonlinear instability
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leapfrog schemes
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Crank-Nicolson
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attractor
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overflow
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