Analysis of multi-index Monte Carlo estimators for a Zakai SPDE

In this article, we propose a space-time Multi-Index Monte Carlo (MIMC) estimator for a onedimensional parabolic stochastic partial differential equation (SPDE) of Zakai type. We compare the complexity with the Multilevel Monte Carlo (MLMC) method of Giles and Reisinger (2012), and find, by means of...

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Main Authors: Reisinger, C, Wang, Z
Format: Journal article
Izdano: Global Science Press 2017