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A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation - MaRDI portal

A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation (Q1862694)

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scientific article; zbMATH DE number 1885678
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A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation
scientific article; zbMATH DE number 1885678

    Statements

    A stable marching difference scheme for an ill-posed Cauchy problem for the three-dimensional Laplace equation (English)
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    15 May 2003
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    Some stability estimates of Hölder type are proved for the solution (and all of its derivatives) of an ill-posed Cauchy problem for the three-dimensional Laplace equation. A marching difference scheme is proposed for solving the problem in a stable way.
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    marching difference scheme
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    ill-posed Cauchy problem
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    three-dimensional Laplace equation
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    stability
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