Waveform relaxation method for stochastic differential equations with constant delay (Q617636)

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scientific article; zbMATH DE number 5840218
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Waveform relaxation method for stochastic differential equations with constant delay
scientific article; zbMATH DE number 5840218

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    Waveform relaxation method for stochastic differential equations with constant delay (English)
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    21 January 2011
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    The author gives sufficient conditions for the mean square convergence of the waveform relaxation method to a system of stochastic differential equations with constant delay of the form \[ \begin{aligned} dX(t) & =f(t,X(t),X(t-\tau))dt+g(t,X(t),X(t-\tau))dW(t),\;0<t\leq T,\\ X(t) & =\xi(t),\;-\tau\leq t\leq0.\end{aligned} \]
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    waveform relaxation methods
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    stochastic delay differential equations
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    mean square convergence
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    system
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