Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation (Q1294332)

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scientific article; zbMATH DE number 1311131
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Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation
scientific article; zbMATH DE number 1311131

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    Explicit exponentially fitted methods for the numerical solution of the Schrödinger equation (English)
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    25 April 2000
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    The author considers a family of exponentially fitted shooting approximation methods to determine the numerical approximation of the solution of singular linear 1-D eigenvalue problems defined on semi-infinite intervals. Computed results illustrate the advantages of the method compared to some of the other methods frequently used to solve the problem. A discussion on the guarantees that eigenvalues are not missed in the course of the computation would have enhanced the research.
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    Schrödinger equation
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    resonance problem
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    exponentially fitted shooting method
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    singular eigenvalue problems
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    semi-infinite intervals
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