A splitting method for the nonlinear Schrödinger equation (Q630582)
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scientific article; zbMATH DE number 5867218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A splitting method for the nonlinear Schrödinger equation |
scientific article; zbMATH DE number 5867218 |
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A splitting method for the nonlinear Schrödinger equation (English)
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17 March 2011
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The author presents a splitting method for the semilinear Schrödinger equation. Its convergence for those nonlinearities which can be handled by the classical well-posedness \(L^2 (\mathbb R^d)\)-theory is proved. Concerning the scheme is of first order in the \(L^2 (\mathbb R^d)\)-norm for \(H^2 (\mathbb R^d)\)-initial data.
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semilinear Schrödinger equation
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splitting method
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stability
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error analysis
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Strang approximation
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