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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Bibliografiske detaljer
Main Authors: Reisinger, C, Wang, Z
Format: Journal article
Udgivet: Global Science Press 2017