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The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation - MaRDI portal

The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation (Q2852286)

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scientific article; zbMATH DE number 6213971
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The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation
scientific article; zbMATH DE number 6213971

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    The harmonic polynomial method for solving the Cauchy problem connected with the Laplace equation (English)
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    8 October 2013
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    harmonic polynomial method
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    Cauchy problem
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    Laplace equation
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    convergence
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    stability
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    numerical examples
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    The paper discusses the Cauchy problem connected with the Laplace equation. The authors study the denseness of harmonic polynomials and propose a numerical method for approximating the solution to the problem. Convergence and stability are also analyzed. Numerical examples are presented to show the effectiveness of the problem.
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