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The Monte Carlo methods for solving the vector and stochastic Helmholtz equations - MaRDI portal

The Monte Carlo methods for solving the vector and stochastic Helmholtz equations (Q1921804)

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scientific article; zbMATH DE number 923524
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The Monte Carlo methods for solving the vector and stochastic Helmholtz equations
scientific article; zbMATH DE number 923524

    Statements

    The Monte Carlo methods for solving the vector and stochastic Helmholtz equations (English)
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    3 September 1996
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    A system of Helmholtz equations with Dirichlet conditions is analyzed. For an integral representation of this problem in the form \(\varphi= K\varphi+h\), by Green's function, existence and uniqueness theorems are formulated. In the second section an algorithm for solving the stochastic Dirichlet problem is described.
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    Green's function
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    existence
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    uniqueness
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    stochastic Dirichlet problem
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