The computational approach for optimal control problems of parabolic systems (Q1353391)

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scientific article; zbMATH DE number 1005382
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The computational approach for optimal control problems of parabolic systems
scientific article; zbMATH DE number 1005382

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    The computational approach for optimal control problems of parabolic systems (English)
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    11 January 1999
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    The authors consider a linear-quadratic optimal control problem for the heat equation. They approximate the solution of the heat equation by a finite series expansion and the control by a linear combination of Chebyshev polynomials. In a numerical example, they present the solution of the resulting finite dimensional problem and compare it to previous work by Di Pillo and Grippo.
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    linear-quadratic problem
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    heat equation
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    optimal control
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    Chebyshev polynomials
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