Piecewise Polynomial Approximate Solutions of an Automatic Control Problem |
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Authors: | CAHLON BARUCH |
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Institution: |
Department of Mathematical Sciences, Oakland University Rochester, Michigan 48063, U.S.A.
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Abstract: | This paper considers piecewise polynomial approximate solutionsof a variational problem in which boundary conditions dependon values on the solution at interior points. The approximatesolutions are shown to converge to the solution of the variationalproblem in the L2 and uniform norms, and algorithms for findingthe approximate solutions are obtained. Numerical examples arealso given. |
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Keywords: | |
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