Long-time behavior of finite difference solutions of a nonlinear Schrödinger equation with weakly damped (Q2748457)
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scientific article; zbMATH DE number 1659460
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Long-time behavior of finite difference solutions of a nonlinear Schrödinger equation with weakly damped |
scientific article; zbMATH DE number 1659460 |
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22 July 2002
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global attractor
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nonlinear Schrödinger equation
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finite difference method
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stability
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convergence
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error estimate
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Long-time behavior of finite difference solutions of a nonlinear Schrödinger equation with weakly damped (English)
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The dynamical properties of a class of finite difference schemes related to a weakly damped Schrödinger equation is analysed. The existence of a global attractor is investigated. The stability of the difference scheme and an error estimate of the difference solution are obtained in the autonomous case. The long-time stability and convergence of a class of finite difference schemes in the nonautonomous case is also analysed.
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