Construction of positivity preserving numerical schemes for multidimensional stochastic differential equations

Nikolaos Halidias

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arXiv · 1310.1581

Construction of positivity preserving numerical schemes for multidimensional stochastic differential equations

Nikolaos Halidias

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Abstract

In this note we work on the construction of positive preserving numerical schemes for systems of stochastic differential equations. We use the semi discrete idea that we have proposed before proposing now a numerical scheme that preserves positivity on multidimensional stochastic differential equations converging strongly in the mean square sense to the true solution.

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Nikolaos Halidias. 2013-10-09. Construction of positivity preserving numerical schemes for multidimensional stochastic differential equations. https://arxiv.org/abs/1310.1581

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