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The ⊝-Maruyama scheme for stochastic functional differential equations with distributed memory term*

Buckwar Evelyn

Monte Carlo Methods and Applications, 2004, vol. 10, issue 3-4, 235-244

Abstract: We consider the problem of strong approximations of the solution of Itô stochastic functional differential equations involving a distributed delay term. The mean-square consistency of a class of schemes, the ⊝-Maruyama methods, is analysed, using an appropriate Itô-formula. In particular, we investigate the consequences of the choice of a quadrature formula. Numerical examples illustrate the theoretical results.

Date: 2004
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DOI: 10.1515/mcma.2004.10.3-4.235

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