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An integral equations method for the Cauchy problem connected with the Helmholtz equation - MaRDI portal

An integral equations method for the Cauchy problem connected with the Helmholtz equation (Q459653)

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scientific article; zbMATH DE number 6354183
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An integral equations method for the Cauchy problem connected with the Helmholtz equation
scientific article; zbMATH DE number 6354183

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    An integral equations method for the Cauchy problem connected with the Helmholtz equation (English)
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    13 October 2014
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    Summary: We are concerned with the Cauchy problem connected with the Helmholtz equation. We propose a numerical method, which is based on the Helmholtz representation, for obtaining an approximate solution to the problem, and then we analyze the convergence and stability with a suitable choice of regularization method. Numerical experiments are also presented to show the effectiveness of our method.
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