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Numerical methods for hyperbolic SPDEs: a Wiener chaos approach - MaRDI portal

Numerical methods for hyperbolic SPDEs: a Wiener chaos approach (Q483625)

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scientific article; zbMATH DE number 6381235
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Numerical methods for hyperbolic SPDEs: a Wiener chaos approach
scientific article; zbMATH DE number 6381235

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    Numerical methods for hyperbolic SPDEs: a Wiener chaos approach (English)
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    17 December 2014
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    In this paper, Wiener chaos expansion is applied to the numerical scheme for reducing stochastic hyperbolic differential equations into a hierarchy of PDEs. This method is applied to the stochastic wave equation and the stochastic Klein-Gordon equation. In comparison with the usual MMC approach, it can save computing time in evaluating the moment of the solution process.
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    stochastic hyperbolic PDEs
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    Wiener chaos expansion
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    numerical methods
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    stochastic wave equation
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    stochastic Klein-Gordon equation
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