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One-step approximations for stochastic functional differential equations - MaRDI portal

One-step approximations for stochastic functional differential equations (Q2490728)

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One-step approximations for stochastic functional differential equations
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    One-step approximations for stochastic functional differential equations (English)
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    18 May 2006
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    For systems of Itô stochastic functional differential equations, the author proves a convergence theorem in which global error estimates for a one step mean-square method are derived from estimates on its local error. The result is applied to analysis of mean-square convergence for drift-implicit one-step schemes.
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    mean-square convergence
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    drift-implicit one-step schemes
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    systems of Itô stochastic functional differential equations
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    error estimates
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