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Numerical methods for linear boundary value problems based on Feynman-Kac representations - MaRDI portal

Numerical methods for linear boundary value problems based on Feynman-Kac representations (Q1330672)

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scientific article; zbMATH DE number 609781
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Numerical methods for linear boundary value problems based on Feynman-Kac representations
scientific article; zbMATH DE number 609781

    Statements

    Numerical methods for linear boundary value problems based on Feynman-Kac representations (English)
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    5 January 1995
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    Three simulation methods of the Wiener process are described. These methods are applied to the determination of numerical solutions with the Feynman-Kac formula for the Dirichlet problem of an elliptic equation and an initial value problem of a parabolic equation. The results are compared with finite element solutions.
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    Wiener process
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    Feynman-Kac formula
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    Dirichlet problem
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    elliptic equation
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    initial value problem
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    parabolic equation
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    finite element
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