Computational methods for some inverse scattering problems (Q1004223)

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scientific article; zbMATH DE number 5522195
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Computational methods for some inverse scattering problems
scientific article; zbMATH DE number 5522195

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    Computational methods for some inverse scattering problems (English)
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    2 March 2009
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    The authors discuss a numerical approach to the inverse scattering problem for the Schrödinger equation and the Zakharov-Shabat system on the real line, that is, the reconstruction of the solution from known asymptotic solutions. The problem is split into two problems on the left and right half-lines. Computational techniques based on this approach are developed and illustrated by numerical examples.
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    inverse scattering
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    Schrödinger equation
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    Zakharov-Shabat system
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    reconstruction
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    known asymptotic solutions
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    numerical examples
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