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A convergence computational scheme for optimal control problems governed by Schrödinger equations - MaRDI portal

A convergence computational scheme for optimal control problems governed by Schrödinger equations (Q391683)

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scientific article; zbMATH DE number 6244401
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A convergence computational scheme for optimal control problems governed by Schrödinger equations
scientific article; zbMATH DE number 6244401

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    A convergence computational scheme for optimal control problems governed by Schrödinger equations (English)
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    10 January 2014
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    Summary: A numerical scheme for obtaining approximate solutions of optimal control problems governed by Schrödinger equations is presented. In this method, by considering a partition of the control space, the discrete form of the problem is converted to a quasi assignment problem. Then, using an evolutionary algorithm, approximate optimal control is obtained as a piecewise linear function. The comparison between the numerical solution and the exact solution for the test cases shows the good accuracy of the presented method.
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    optimal control problem
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    Schrödinger equation
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    evolutionary algorithm
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    discretisation
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    approximation
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    numerical examples
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